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{{otheruses}}{{cosmology}}
The '''Universe''' is defined as the summation of all particles and energy that exist and the [[space-time]] in which all events occur. Based on observations of the portion of the Universe that is [[observable universe|observable]], physicists attempt to describe the whole of space-time, including all [[matter]] and [[energy]] and events which occur, as a single system corresponding to a [[mathematical model]]. Our universe is also defined as one component part of a larger [[Multiverse]].


The '''Universe''' is everything that exists: the entirety of [[space]] and [[time]], all forms of [[matter]], [[energy]] and [[momentum]], and the [[physical law]]s and [[physical constant]]s that govern them. In a well-defined, mathematical sense, the universe can even be said to contain that which does not exist; according to the [[path integral formulation|path-integral formulation]] of [[quantum mechanics]], even unrealized possibilities contribute to the [[probability amplitude]]s of events in the universe.<ref name="path_integral" >{{cite book | author = Feynman RP, Hibbs AR | year = 1965 | title = Quantum Physics and Path Integrals | publisher = McGraw-Hill | location = New York | isbn = 0-07-020650-3}}<br />{{cite book | author = Zinn Justin J | year = 2004 | title = Path Integrals in Quantum Mechanics | publisher = Oxford University Press | isbn = 0-19-856674-3}}</ref> The universe is sometimes denoted as the ''[[cosmos]]'' or ''[[Nature]]'', as in "[[cosmology]]" or "[[natural philosophy]]".
The generally accepted [[scientific theory]] which describes the origin and evolution of the Universe is [[Big Bang]] [[physical cosmology|cosmology]], which describes the [[expansion of space]] from an extremely hot and dense state of unknown characteristics. The Universe underwent a rapid period of [[cosmic inflation]] that flattened out nearly all initial irregularities in the energy density; thereafter the universe expanded and became steadily cooler and less dense. Minor variations in the distribution of mass resulted in hierarchical segregation of the features that are found in the current universe; such as [[galaxy cluster|clusters]] and [[supercluster]]s of [[galaxy|galaxies]]. There are more than one hundred billion (10<sup>11</sup>) galaxies in the Universe,<ref>{{cite web | last = Mackie | first = Glen |date= [[February 1]] [[2002]] | url = http://astronomy.swin.edu.au/~gmackie/billions.html | title = To see the Universe in a Grain of Taranaki Sand | publisher = Swinburne University | accessdate = 2006-12-20 }}</ref> each containing hundreds of billions of stars, with each star containing about 10<sup>57</sup> [[atoms]] of hydrogen.


Scientific experiments have yielded several general facts about the [[observable universe]]. The [[age of the universe]] is estimated to be 13.7±0.2 billion years <ref name="NASA_age">{{cite web | title = The Age of the Universe with New Accuracy | url = http://map.gsfc.nasa.gov/m_mm/mr_age.html|accessdate=2006-12-29}}</ref>. The universe is very large, possibly infinite, being at least 93 billion [[light year]]s across, and consisting mainly of [[matter]], rather than [[antimatter]]. Only 4% of the matter and energy in the universe is luminous, that is, directly observable from its emitted [[electromagnetic radiation]] ("light" in its most general sense); the remainder consists of [[dark energy]] (73%) and [[dark matter]] (23%), both of which are mysterious. The luminous matter within the universe is sparse and consists principally of [[galaxy|galaxies]], which are distributed uniformly when averaged over length-scales longer than 300 million light years; on smaller length scales, galaxies tend to clump into [[galaxy groups and clusters|clusters, superclusters]] and even [[large-scale structure of the universe|larger structures]]. The light arriving from distant galaxies is detectably [[redshift]]ed, with the redshift increasing with the galaxy's distance from Earth. [[Cosmic microwave background radiation|The universe is bathed]] in a [[microwave]] [[electromagnetic radiation|radiation]] that is highly isotropic (uniform across different directions), and corresponds to a [[blackbody spectrum]] of roughly 2.7 [[Kelvin]]. The relative percentages of the lighter [[chemical element]]s — especially [[hydrogen]], [[deuterium]] and [[helium]] — is apparently the same throughout the universe. The universe is believed to be expanding, in the sense that [[space]] itself is enlarging with time; even objects initially at rest to one another will appear to fly apart as new space is created between them. The universe has at least three spatial [[dimension]]s and one temporal ([[time]]) dimension, although [[compactification (physics)|extremely small]] additional dimensions cannot be ruled out experimentally; [[spacetime]] appears to be [[differentiable manifold|smoothly]] and [[simply connected]], with very small [[Riemann curvature tensor|curvature]], so that [[Euclidean geometry]] is accurate ''on the average'' throughout the universe. The universe appears to be governed by the same [[physical law]]s and [[physical constant|constant]]s throughout its extent and history.
There are also non-scientific investigations that explore and describe the universe as a whole with their own separate [[cosmology|cosmologies]].


Throughout their recorded history, humans have proposed several [[cosmology|cosmologies]] and [[cosmogony|cosmogonies]] to account for their observations of the universe. The earliest quantitative models were developed by the [[ancient Greece|ancient Greeks]], who proposed that the universe possessed infinite space and had existed eternally, but contained a single set of concentric spheres of finite size (corresponding to the fixed stars, the [[Sun]] and various [[planet]]s) rotating about a spherical but unmoving [[Earth]]. Over the centuries, more careful astronomical observations and improved theories of [[gravity]] led to the present theory of the [[Big Bang]] and, more specifically, the [[Lambda-CDM model]], which accounts for the available data. According to such theories, everything in the universe — all forms of matter and energy, and even [[spacetime]] itself — came into being at a single event, a [[gravitational singularity]]; as space expanded with time, the matter and energy cooled sufficiently to allow the stable condensation of [[elementary particle]]s into the primordial [[atomic nucleus|nuclei]] and [[atom]]s. Once atoms formed, matter became mostly transparent to electromagnetic radiation; the [[cosmic microwave background radiation|ambient microwave radiation]] observed today is the residual radiation that decoupled from the matter.
==Etymology==
The word "universe" is derived from Old French ''univers'', from Latin ''universum'', which combines ''uni''- (the combining form of ''unus'', or "one") with ''versus'' (perfect passive participle of ''vertere'', or "turn"). The word, therefore, means "all turned into one" or "revolving as one" or "orbiting as one".


According to the prevailing scientific models, the Universe is governed by the [[Standard Model]] of [[physics]] (which governs various forms of matter and fields), as well as [[special relativity|special]] and [[general relativity]] (which govern [[spacetime]] and its interaction with matter and fields). On [[physical cosmology|cosmological]] length scales, the dominant [[fundamental interaction|interaction]] in the universe is [[gravitation]]. Hence, the theory of [[general relativity]] (the most accurate description of gravity presently available) offers the best predictions for the overall development of the universe, including its [[Big Bang|origin]], [[metric expansion of space|expansion]] (which mainly accounts for the observed [[redshift]]), [[large-scale structure of the universe|large-scale structure]] and [[ultimate fate of the universe|ultimate fate]]. However, components of the Standard Model — particularly those relating to [[nucleosynthesis]], [[atomic spectra]], and [[CP violation]] — are needed to account for other experimental observations, such as the distribution of [[chemical element]]s and microwave radiation throughout the universe, as well as the [[matter]]-[[antimatter]] asymmetry.
==Name of our Universe==
In the same way that ''[[the Moon]]'' refers to our ([[Earth]]'s) moon, ''the Universe'' is used by some cosmologists to refer to our Universe. In this article, ''the Universe'' is equivalent to ''our observable Universe''.


According to some speculations, this universe may be one of many disconnected universes, which are collectively denoted as the [[multiverse]]. In [[bubble universe theory|one theory]], there is an infinite variety of universes, each with different values of the [[physical constant]]s. In [[many-worlds hypothesis|another theory]], new universes are spawned with every [[quantum measurement]]. However, these speculations cannot be tested experimentally since, by definition, other universes cannot interact with our own.
[[Theoretical physics|Theoretical]] and [[Physical cosmology|observational cosmologists]] vary in their usage of the term ''the Universe'' to mean either this whole system or just a part of this system.<ref>[http://links.jstor.org/sici?sici=0022-5037(195104)12%3A2%3C231%3AOUOM%3E2.0.CO%3B2-F JSTOR: One Universe or Many?]</ref>


==Etymology, synonyms and definitions==
As used by observational cosmologists, ''the Universe'' most frequently refers to the finite part of space-time. The Universe is directly observable by making [[discovery (observation)|observation]]s using [[telescope]]s and other detectors, and by using the methods of theoretical and empirical [[physics]] for studying its components. Physical cosmologists assume that the observable part of ([[comoving coordinates|comoving]]) space (also called ''our universe'') corresponds to a part of a model of the whole of space, and usually not to the whole space. They use the term ''the Universe'' ambiguously to mean either the observable part of space, the observable part of space-time, or the entire space-time.{{Fact|date=January 2007}}


{{See also|Cosmos|Nature}}
In order to clarify terminology, [[George Ellis]], U. Kirchner and W.R. Stoeger recommend using the term ''the Universe'' for the theoretical model of all of the connected space-time in which we live, ''universe domain'' for the observable universe or a similar part of the same space-time, ''universe'' for a general space-time (either our own ''Universe'' or another one disconnected from our own), ''multiverse'' for a [[set]] of disconnected space-times, and ''multi-domain universe'' to refer to a model of the whole of a single connected space-time in the sense of [[chaotic inflation]] models.<ref name="EllisKS03" />


The word "universe" is derived from Old French ''univers'', from Latin ''universum'', which combines ''uni''- (the combining form of ''unus'', or "one") with ''versus'' (perfect passive participle of ''vertere'', or "turn"). The word, therefore, can mean "[everything] rolled into one" or "revolving as one" or "orbiting as one". This may derive from the early Greek model of the universe, in which all matter was contained within rotating, concentric spheres.
==Observable portion==

{{main|Observable universe}}
Synonyms for the universe include the [[cosmos]], [[Nature]] and [[everything]] (as in the "[[theory of everything]]"). These synonyms were already in use among the ancient Greek philosophers; κοσμος is a Greek word, and [[Aristotle]] often refers to the universe as το παν (The All), or απαντα τα οντα (everything that exists). Such synonyms are found in other languages as well, such as the German word ''Weltall'' for universe.
A majority of cosmologists believe that the [[observable universe]] is an extremely tiny part of the whole universe and that it is impossible to observe the whole of [[comoving coordinates|comoving]] space. It is presently unknown if this is correct, and remains under debate. According to studies of the [[shape of the Universe]], it is possible that the observable universe is of nearly the same size as the whole of space.<ref name="lumrouk99">{{cite conference

===Broadest definition: reality and probability===
{{See also|Introduction to quantum mechanics|Interpretation of quantum mechanics}}
The broadest definition of the universe is found in ''[[De divisione naturae]]'' by the [[Middle Ages|medieval]] [[philosopher]] [[Johannes Scotus Eriugena]], who defined it as simply everything: everything that exists and everything that does not exist. Time is not considered in Eriugena's definition; thus, his definition includes everything that exists, has existed and will exist, as well as everything that does not exist, has never existed and will never exist. This all-embracing definition was not adopted by most later philosophers, but it is relevant in [[quantum physics]], particularly the [[path integral formulation|path-integral formulation]] of [[Richard Feynman|Feynman]].<ref name="path_integral" /> According to that formulation, the [[probability amplitude]]s for the various outcomes of an experiment given a perfectly defined initial state of the system are determined by summing over all possible paths by which the system could progress from the initial to final state. However, the experiment has only one outcome; only one possible outcome is realized in this universe, via the mysterious process of [[measurement in quantum mechanics|quantum measurement]], also known as the [[wavefunction collapse|collapse of the wavefunction]] (but see the [[many-worlds hypothesis]] below in the [[Multiverse]] section). In this well-defined mathematical sense, even that which does not exist (all possible paths) can influence that which does finally exist (the experimental measurement); prior to measurement, the ultimately non-existent contributes to the universe on an equal footing with the ultimately existent. As a specific example, every [[electron]] is intrinsically identical to every other; therefore, probability amplitudes must be computed allowing for the possibility that they exchange positions, something known as [[exchange symmetry]]. This conception of the universe embracing both the real and the possible but unreal is loosely related to the [[Buddhism|Buddhist]] doctrines of [[shunyata]] and [[pratitya-samutpada|interdependent development of reality]], and in [[Gottfried Leibniz]]'s more modern concepts of [[contingency]] and the [[identity of indiscernibles]].

===Definition as reality===

{{See also|Reality|Physics}}

More customarily, the universe is defined as everything that exists, has existed and will exist. According to this definition and our present understanding, the universe consists of three elements: [[space]] and [[time]], collectively known as [[space-time]] or the [[vacuum]]; [[matter]] and various forms of [[energy]] and [[momentum]] occupying [[space-time]]; and the [[physical law]]s that govern the first two. These elements will be discussed in greater detail below.

This triple division corresponds roughly to the ideas of [[Aristotle]]. In his book ''[[Physics (Aristotle)|The Physics]]'' (Φυσικης, from which we derive the word "physics"), Aristotle divided ’το παν (everything) into three elements: ''matter'' (the stuff of which the universe is made), ''form'' (the arrangement of that matter in space) and ''change'' (how matter is created, destroyed or altered in its properties, and similarly, how form is altered). [[Physical law]]s were conceived as the rules governing the properties of matter, form and their changes. Later philosophers such as [[Lucretius]], [[Averroes]], [[Avicenna]] and [[Baruch Spinoza]] altered or refined these divisions; for example, Averroes and Spinoza discern ''[[natura naturans]]'' (the active principles governing the universe) from ''[[natura naturata]]'', the passive elements upon which the former act.

===Definition as connected space-time===

{{See also|Bubble universe theory|Chaotic inflation}}

It is possible to conceive of disconnected [[space-time]]s, each existing but unable to interact with one another. An easily visualized metaphor is a group of separate [[soap bubble]]s, in which observers living on one soap bubble cannot interact with those on other soap bubbles, even in principle. According to one common terminology, each "soap bubble" of space-time is denoted as a universe, whereas our particular [[space-time]] is denoted as ''the Universe'', just as we call our moon ''the [[Moon]]''. The entire collection of these separate space-times is denoted as the [[multiverse]].<ref name="EllisKS03">{{cite journal
| last = Ellis
| first = George F.R.
| authorlink = George Ellis
| coauthors = U. Kirchner, W.R. Stoeger
| title = Multiverses and physical cosmology
| journal = Monthly Notices of the Royal Astronomical Society
| volume = 347
| issue =
| pages = 921–936
| publisher =
| date = 2004
| url = http://arxiv.org/abs/astro-ph/0305292
| doi =
| id =
| accessdate = 2007-01-09}}</ref> In principle, the other unconnected universes may have different [[dimension]]alities and [[topology|topologies]] of [[space-time]], different forms of [[matter]] and [[energy]], and different [[physical law]]s and [[physical constant]]s.

===Definition as observable reality===

{{See also|Observable universe|Observational cosmology}}
According to a still more restrictive definition, the universe is everything within our connected [[space-time]] that could ever interact with us and vice versa. According to the theory of [[general relativity]], some regions of [[space]] may never interact with ours even in the lifetime of the universe, due to the finite [[speed of light]] and the [[expansion of space]]. For example, radio messages sent from Earth may never reach some regions of space, even if the universe lives forever; space may expand faster than light can cover it. It is worth emphasizing that those distant regions of space are taken to exist and be part of reality as much as we are; yet we can never interact with them. The spatial region within which we can affect and be affected is denoted as the [[observable universe]]. Strictly speaking, the observable universe depends on the observer. By traveling, an observer can come into contact with a greater region of space-time than an observer who remains still, so that the observable universe for the former is larger than for the latter; nevertheless, even the most rapid traveler may not be able to interact with all of space. Typically, the observable universe is taken to mean the universe observable from a stationary observer on Earth.

==Scientific observations==

[[Image:Hubble ultra deep field.jpg|thumb|right|350px|The [[Hubble Ultra Deep Field]] image of a small region of the sky, near the [[constellation]] [[Fornax]]. The light from the smallest, most [[redshift]]ed galaxies originated roughly 13 billion years ago.]]

{{main|Observable universe|Age of the universe|Large-scale structure of the universe|Abundance of the chemical elements}}

The universe is very large and possibly infinite in volume. The observable matter is spread over a space at least 93 billion [[light years]] across;<ref>{{cite web | last = Lineweaver | first = Charles | coauthors = Tamara M. Davis | year = 2005 | url = http://www.sciam.com/article.cfm?articleID=0009F0CA-C523-1213-852383414B7F0147&pageNumber=5&catID=2 | title = Misconceptions about the Big Bang | publisher = [[Scientific American]] | accessdate = 2007-03-05}}</ref> for comparison, the diameter of a typical [[galaxy]] is only 30,000 light-years, and the typical distance between two neighboring galaxies is only 3 million [[light-years]]. For example, our [[Milky Way]] galaxy is roughly 100,000 light years in diameter, and our nearest sister galaxy, the [[Andromeda Galaxy]], is located roughly 2.5 million light years away.

The observable matter is spread uniformly (''homogeneously'') throughout the universe, when averaged over distances longer than 300 million light-years.<ref>{{cite journal | author=N. Mandolesi, P. Calzolari, S. Cortiglioni, F. Delpino, G. Sironi | title=Large-scale homogeneity of the Universe measured by the microwave background | journal=Letters to Nature | year=1986 | volume=319 | pages=751-753 | url=http://www.nature.com/nature/journal/v319/n6056/abs/319751a0.html }}</ref> However, on smaller length-scales, matter is observed to form "clumps", i.e., to cluster hierarchically; most [[atom]]s are condensed into [[star]]s, most stars into galaxies, most galaxies into [[galaxy groups and clusters|clusters, superclusters]] and, finally, the [[large-scale structure of the universe|largest-scale structures]] such as the [[Great Wall (astronomy)|Great Wall of galaxies]]. The observable matter of the universe is also spread ''isotropically'', meaning that no direction of observation seems different from any other; each region of the sky has roughly the same content.<ref>{{cite web | last = Hinshaw | first = Gary |date= November 29, 2006 | url = http://map.gsfc.nasa.gov/m_mm.html | title = New Three Year Results on the Oldest Light in the Universe | publisher = NASA WMAP | accessdate = 2006-08-10 }}</ref> The universe is also bathed in a highly isotropic [[microwave]] [[electromagnetic radiation|radiation]] that corresponds to a [[thermal equilibrium]] [[blackbody spectrum]] of roughly 2.725 [[Kelvin]].<ref>{{cite web | last = Hinshaw | first = Gary |date= December 15, 2005 | url = http://map.gsfc.nasa.gov/m_uni/uni_101bbtest3.html | title = Tests of the Big Bang: The CMB | publisher = NASA WMAP | accessdate = 2007-01-09 }}</ref> The hypothesis, now apparently [[End of Greatness|confirmed]], that the large-scale universe is homogeneous and isotropic is known as the [[cosmological principle]].

The present overall [[density]] of the universe is very low, roughly 9.9 &times; 10<sup>-30</sup> grams per cubic centimetre. This mass-energy appears to consist of 73% [[dark energy]], 23% cold [[dark matter]] and 4% ordinary matter. Thus the density of atoms is on the order of a single hydrogen atom for every four cubic meters of volume.<ref>{{cite web | last = Hinshaw | first = Gary |date= February 10, 2006 | url = http://map.gsfc.nasa.gov/m_uni/uni_101matter.html | title = What is the Universe Made Of? | publisher = NASA WMAP | accessdate = 2007-01-04 }}</ref> The nature of dark energy and dark matter are presently unknown.

The universe is [[age of the universe|old]] and evolving. Various data suggest that the universe is at least 10 billion years old; the [[Wilkinson Microwave Anisotropy Probe|most precise current estimate]] is 13.7±0.2 billion years old.<ref name="NASA_age" /> Independent estimates (based on measurements such as [[radioactive dating]]) agree, although they are less precise, ranging from 11-20 billions years<ref> {{cite web
| author =Britt RR
| title =Age of Universe Revised, Again
| publisher =[[space.com]]
| date = [[2003-01-03]]
| url = http://www.space.com/scienceastronomy/age_universe_030103.html
| accessdate = 2007-01-08}}</ref>
to 13–15 billion years.<ref>{{cite web
| author = Wright EL
| title =Age of the Universe
| publisher =[[UCLA]]
| date = 2005
| url = http://www.astro.ucla.edu/~wright/age.html
| accessdate = 2007-01-08}}<br />{{cite journal
| author = Krauss LM, Chaboyer B
| title =Age Estimates of Globular Clusters in the Milky Way: Constraints on Cosmology
| journal =[[Science (journal)|Science]]
| volume = 299
| issue = 5603
| pages = 65&ndash;69
| publisher =[[American Association for the Advancement of Science]]
| date = [[3 January]] [[2003]]
| url = http://www.sciencemag.org/cgi/content/abstract/299/5603/65?ijkey=3D7y0Qonz=GO7ig.&keytype=3Dref&siteid=3Dsci
| accessdate = 2007-01-08 }}</ref> The universe was not the same at all times; the relative populations of cosmological objects such as [[quasar]]s and [[galaxy|galaxies]] has changed and [[space]] itself appears to be [[metric expansion of space|expanding]]. This expansion accounts for how two galaxies can be 90 billion light years apart, even if they have traveled for only 13.7 billion years at speeds less than the speed of light; the very space between them has expanded. This expansion is consistent with the observation that the light from distant galaxies has been [[redshift]]ed; the [[photon]]s emitted have been stretched to longer [[wavelength]]s and lower [[frequency]] during their journey. The rate of this spatial expansion is [[accelerating universe|accelerating]], based on studies of [[Type Ia supernova]]e and corroborated by other data.

The [[abundance of the chemical elements|relative fractions]] of different [[chemical element]]s — particularly the lightest [[atom]]s such as [[hydrogen]], [[deuterium]] and [[helium]] — seem to be identical throughout the universe and throughout its observable history.<ref>{{cite web | last = Wright | first = Edward L. |date= September 12, 2004 | url = http://www.astro.ucla.edu/~wright/BBNS.html | title = Big Bang Nucleosynthesis | publisher = UCLA | accessdate = 2007-01-05 }}<br />{{cite journal | author=M. Harwit, M. Spaans | title=Chemical Composition of the Early Universe | journal=The Astrophysical Journal | year=2003 | volume=589 | issue=1 | pages=53-57 | url=http://adsabs.harvard.edu/abs/2003ApJ...589...53H }}<br />{{cite journal | author=C. Kobulnicky, E. D. Skillman | title=Chemical Composition of the Early Universe | journal=Bulletin of the American Astronomical Society | year=1997 | volume=29 | pages=1329 | url=http://adsabs.harvard.edu/abs/1997AAS...191.7603K }}</ref> The universe seems to have much more [[matter]] than [[antimatter]], an asymmetry possibly related to the observations of [[CP violation]].<ref>{{cite web |date= October 28, 2003 | url = http://www.pparc.ac.uk/ps/bbs/bbs_antimatter.asp | title = Antimatter | publisher = Particle Physics and Astronomy Research Council | accessdate = 2006-08-10 }}</ref> The universe appears to have no net [[electric charge]], and therefore [[gravity]] appears to be the dominant interaction on cosmological length scales. The universe appears to have no net [[momentum]] and [[angular momentum]]. The absence of net charge and momentum would follow from accepted physical laws ([[Gauss's law]] and the non-divergence of the [[stress-energy-momentum pseudotensor]], respectively), if the universe were finite.

Finally, the universe appears to have a smooth [[spacetime]] [[continuum]] consisting of three [[space|spatial]] [[dimension]]s and one temporal ([[time]]) dimension. The [[spacetime]] is observed to be very nearly flat (close to zero [[curvature]]), meaning that [[Euclidean geometry]] is experimentally true with high accuracy.<ref name="Shape">http://map.gsfc.nasa.gov/m_mm/mr_content.html</ref> Spacetime also appears to have a [[simply connected space|simply connected]] [[topology]], at least on the length-scale of the observable universe. However, present observations cannot exclude the possibilities that the universe has more dimensions and that its spacetime may have a multiply connected global topology, in analogy with the [[cylinder|cylindrical]] or [[toroid]]al topologies of two-dimensional [[space]]s.<ref name="_spacetime_topology">{{cite conference
| first = Jean-Pierre
| first = Jean-Pierre
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| accessdate = 2007-01-05}}<br />{{cite journal
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| accessdate = 2007-01-09}}</ref> If a version of the [[cosmic inflation]] scenario is correct, then there is no known way to determine if the whole universe is finite or [[infinite]]. If it is infinite, the observable Universe is just a tiny speck of the whole universe.


The universe appears to be governed throughout by the same [[physical law]]s and [[physical constant]]s.<ref>{{cite web | last = Strobel | first = Nick |date= May 23, 2001 | url = http://www.astronomynotes.com/starprop/s7.htm | title = The Composition of Stars | publisher = Astronomy Notes | accessdate = 2007-01-04 }}<br />{{cite web | url = http://www.faqs.org/faqs/astronomy/faq/part4/section-4.html | title = Have physical constants changed with time? | publisher = Astrophysics (Astronomy Frequently Asked Questions) | accessdate = 2007-01-04 }}</ref> According to the prevailing [[Standard Model]] of physics, all matter is composed of three generations of [[lepton]]s and [[quark]]s, both of which are [[fermion]]s. These [[elementary particle]]s interact via at most three [[fundamental interaction]]s: the [[electroweak]] interaction which includes [[electromagnetism]] and the [[weak nuclear force]]; the [[strong nuclear force]] described by [[quantum chromodynamics]]; and [[gravity]], which is best described at present by [[general relativity]]. The first two interactions can be described by [[renormalization|renormalized]] [[quantum field theory]], and are mediated by [[gauge boson]]s that correspond to a particular type of [[gauge symmetry]]. A renormalized quantum field thoery theory of [[general relativity]] has not yet been achieved, although various forms of [[string theory]] seem promising. The theory of [[special relativity]] is believed to hold throughout the universe, provided that the spatial and temporal length scales are sufficiently short; otherwise, the more general theory of [[general relativity]] must be applied. There is no explanation for the particular values that [[physical constant]]s appear to have throughout our universe, such as [[Planck's constant]] ''h'' or the [[gravitational constant]] ''G''. Several [[conservation law]]s have been identified, such as the [[conservation of charge]], [[conservation of momentum|momentum]], [[conservation of angular momentum|angular momentum]] and [[conservation of energy|energy]]; in many cases, these conservation laws can be related to [[symmetry|symmetries]] or [[Bianchi identity|mathematical identities]].
==Theory==
[[Theoretical physics|Theoretical cosmologists]] study models of the whole of space-time which is [[topology|connected]] together, and search for models which are consistent with physical cosmologists' model of space-time on the scale of the [[observable universe]].{{Fact|date=January 2007}} Their models are speculative but use the methods of [[theoretical physics]]. <ref name="EllisKS03">{{cite journal
| last =
| first = George F.R.
| authorlink = George Ellis
| coauthors = U. Kirchner, W.R. Stoeger
| title = Multiverses and physical cosmology
| journal = Monthly Notices of the Royal Astronomical Society
| volume = 347
| issue =
| pages = 921–936
| publisher =
| date = 2004
| url = http://arxiv.org/abs/astro-ph/0305292
| doi =
| id =
| accessdate = 2007-01-09}}</ref>


==Historical models==
===Multiverse===
{{main|Multiverse}}
Some theorists extend their model of "all of space-time" beyond a single connected space-time to a [[set]] of disconnected space-times, or [[multiverse]].


{{main|Timeline of cosmology}}
For example, matter that falls into a [[black hole]] in our universe could emerge as a [[Big Bang]], starting another universe. However, all such ideas are currently untestable and cannot be regarded as anything more than speculation. The concept of parallel universes is understood only when related to [[string theory]]. String theorist [[Michio Kaku]] offered several explanations to possible [[Parallel universe (fiction)|parallel universe]] phenomena.


Many models of the cosmos (cosmologies) and its origin (cosmogonies) have been proposed, based on the then available data and conceptions of the universe.
Physicist [[David Deutsch]] suggests that a multiverse is a consequence of the [[many-worlds interpretation]], which he considers to be the best alternative explanation to the [[Copenhagen interpretation|Copenhagen explanations]] of [[quantum mechanics|quantum theory]] first presented by [[Niels Bohr]], over half a century ago. {{Fact|date=June 2007}}


===Creation stories===
==Evolution==
===Formation===
{{main|Age of the universe|Big Bang}}


{{main|Origin belief|Creator deity}}
The most important result of [[physical cosmology]]&mdash;that the universe is [[metric expansion of space|expanding]]&mdash;is derived from [[redshift]] observations and quantified by [[Hubble's Law]]. That is, astronomers observe that there is a direct relationship between the distance to a remote object (such as a galaxy) and the velocity with which it is receding. Conversely, if this expansion has continued over the entire age of the universe, then in the past, these distant, receding objects must once have been closer together.


[[Image:Song of Ur-Nammu AO5378 mp3h9129.jpg|thumb|200px|right|[[Sumer]]ian account of the creatrix goddess [[Nammu]], the precursor of the [[Assyrian]] goddess [[Tiamat]]; perhaps the earliest surviving creation story.]]
By extrapolating this expansion back in time, one approaches a [[gravitational singularity]] where everything in the universe was compressed into an infinitesimal point; an abstract mathematical concept that may or may not correspond to reality. This idea gave rise to the [[Big Bang]] Theory, the dominant model in cosmology today.


Many cultures have [[origin belief|stories describing the creation of the world]], which may be roughly grouped into common types. In one type of story, the world is born from a [[world egg]]; such stories include the [[Finnish people|Finnish]] [[epic poetry|epic poem]] ''[[Kalevala]]'', the [[China|Chinese]] story of [[Pangu]] or the [[History of India|Indian]] [[Brahmanda Purana]]. In related stories, the creation is caused by a single god emanating or producing something by themselves, as in [[Buddhism|Buddhist]] concept of [[Adi-Buddha]], the [[ancient Greece|ancient Greek]] story of [[Gaia]] (Mother Earth), the [[Aztec mythology|Aztec]] goddess [[Coatlicue]] or the [[ancient Egyptian religion|ancient Egyptian]] [[Ennead|god]] [[Atum]]. In another type of story, the world is created from the union of male and female deities, as in the [[Maori mythology|Maori story]] of [[Rangi and Papa]]. In other stories, the universe is created by crafting it from pre-existing materials, such as the corpse of a dead god - as from [[Tiamat]] in the [[Babylon]]ian epic [[Enuma Elish]] or from the giant [[Ymir]] in [[Norse mythology]] - or from chaotic materials, as in [[Izanagi]] and [[Izanami]] in [[Japanese mythology]]. In another type of story, the world is created by divine speech, as in the [[ancient Egypt]]ian story of [[Ptah]] or the [[Bible|Biblical]] account in [[Creation according to Genesis|Genesis]]. In other stories, the universe is emanates from fundamental principles, such as [[Brahman]] and [[Prakrti]], or the [[yin]] and [[yang]] of the [[Tao]].
During the earliest era of the big bang theory, the universe is believed to have formed a hot, dense [[Plasma (physics)|plasma]]. As expansion proceeded, the temperature steadily dropped until a point was reached when atoms could form. At about this time the background energy (in the form of photons) became decoupled from the matter, and was free to travel through space. The left-over energy continued to cool as the universe expanded, and today it forms the [[cosmic microwave background radiation]]. This background radiation is remarkably uniform in all directions, which cosmologists have attempted to explain by an early period of [[inflationary expansion]] following the Big Bang.


[[Image:Vessillo della Repubblica Ambrosiana (1447-1450).jpg|thumb|left|200px|[[Milan]]ese [[flag]] (''c.'' 1450) depicting the four [[classical element]]s in the outermost ring. [[Fire (classical element)|Fire]] and [[Air (classical element)|Air]] are above, holding red and white spheres, respectively; [[Water (classical element)|Water]] and [[Earth (classical element)|Earth]] are below, holding blue and green spheres, respectively.]]
Examination of small variations in the microwave background radiation provides information about the nature of the universe, including the age and composition. The [[age of the universe]] from the time of the Big Bang, according to current information provided by [[NASA]]'s [[WMAP]] (Wilkinson Microwave Anisotropy Probe), is estimated to be about 13.7 [[1000000000 (number)|billion]] (13.7 &times; 10<sup>9</sup>) years, with a [[margin of error]] of about 1 % (± 200 million years). Other methods of estimation give different ages ranging from 11 billion to 20 billion.<ref> {{cite web
| last =Britt
| first =Robert Roy
| title =Age of Universe Revised, Again
| work =
| publisher =[[space.com]]
|date=[[2003-01-03]]
| url =http://www.space.com/scienceastronomy/age_universe_030103.html
| accessdate = 2007-01-08}} </ref> Most of the estimates cluster in the 13–15 billion year range.<ref>{{cite web
| last =Wright
| first =Edward L
| title =Age of the Universe
| publisher =[[UCLA]]
|date=2005
| url =http://www.astro.ucla.edu/~wright/age.html
| accessdate = 2007-01-08}}</ref><ref>{{cite journal
| last =Krauss
| first =Lawrence M.
| coauthors =Brian Chaboyer
| title =Age Estimates of Globular Clusters in the Milky Way: Constraints on Cosmology
| journal =[[Science (journal)|Science]]
| volume =299
| issue =5603
| pages =65-69
| publisher =[[American Association for the Advancement of Science]]
|date=[[3 January]] [[2003]]
| url =http://www.sciencemag.org/cgi/content/abstract/299/5603/65?ijkey=3D7y0Qonz=GO7ig.&keytype=3Dref&siteid=3Dsci
| accessdate = 2007-01-08 }}</ref>


===Philosophical models===
In the 1977 book ''[[The First Three Minutes]]'', Nobel Prize-winner [[Steven Weinberg]] laid out the physics of what happened just moments after the [[Big Bang]]. Additional discoveries and refinements of theories prompted him to update and reissue that book in 1993.


{{main|Pre-Socratic philosophy|Physics (Aristotle)}}
{{seealso|Timeline of the Big Bang}}


The first philosophical models of the universe were developed by the [[pre-Socratic philosophy|pre-Socratic philosophers]]. The earliest Greek philosophers noted that appearances can be deceiving, and sought to understand the underlying reality behind the appearances. In particular, they noted the ability of matter to change forms (e.g., ice to water to steam) and several philosophers proposed that all the apparently different materials of the world (wood, metal, etc.) are all different forms of a single material, the [[arche]]. The first to do so was [[Thales]], who called this material [[Water (classical element)|Water]]. Following him, [[Anaximenes]] called it [[Air (classical element)|Air]], and posited that there must be attractive and repulsive [[force]]s that cause the arche to condense or dissociate into different forms. [[Empedocles]] proposed that multiple fundamental materials were necessary to explain the diversity of the universe, and proposed that all four [[classical element]]s (Earth, Air, Fire and Water) existed, albeit in different combinations and forms. This four-element theory was adopted by many of the subsequent philosophers. Some philosophers before Empedocles advocated less material things for the [[arche]]; [[Heraclitus]] argued for a [[Logos]], [[Pythagoras]] believed that all things were composed of [[number]]s, whereas Thales' student, [[Anaximander]], proposed that everything was composed of a chaotic substance known as [[Apeiron (cosmology)|apeiron]], roughly corresponding to the modern concept of a [[quantum foam]]. Various modifications of the apeiron theory were proposed, most notably that of [[Anaxagoras]], which proposed that the various matter is the world was spun off from a rapidly rotating apeiron, set in motion by the principle of [[Nous]] (Mind). Still other philosophers — most notably [[Leucippus]] and [[Democritus]] — proposed that the universe was composed of indivisible [[atom]]s moving through empty space, a [[vacuum]]; [[Aristotle]] opposed this view ("Nature abhors a vacuum") on the grounds that [[drag|resistance to motion]] increases with [[density]]; hence, empty space should offer no resistance to motion, leading to the possibility of infinite [[speed]].
===Pre-matter soup===
Until recently, the first hundredth of a second after the Big Bang was a mystery, leaving Weinberg and others unable to describe exactly what the universe would have been like during this period. New experiments at the [[Relativistic Heavy Ion Collider]] in [[Brookhaven National Laboratory]] have provided physicists with a glimpse through this curtain of high energy, so they can directly observe the sorts of behavior that might have been taking place in this time frame.<ref>{{cite web | url = http://www.bnl.gov/rhic/heavy_ion.htm | title = Heavy Ion Collisions | publisher = Brookhaven National Laboratory | }}</ref>


Although Heraclitus argued for eternal change, his rough contemporary [[Parmenides]] made the radical suggestion that all change is an illusion, that the true underlying reality is eternally unchanging and of a single nature. Parmenides denoted this reality as το εν (The One). Parmenides' theory seemed implausible to many Greeks, but his student [[Zeno of Elea]] challenged them with several famous [[Zeno's paradoxes|paradoxes]]. Aristotle resolved these paradoxes by developing the notion of an infinitely divisible [[continuum]], and applying it to [[space]] and [[time]].
At these energies, the [[quark]]s that comprise [[proton]]s and [[neutron]]s (ups and downs) were not yet joined together, and a dense, superhot mix of quarks and [[gluon]]s, with some electrons thrown in, was all that could exist in the microseconds before it cooled enough to form into the sort of matter particles we observe today.<ref>{{cite web | author = Thomas Ludlam, Larry McLerran |date= October 2003 | url = http://www.aip.org/pt/vol-56/iss-10/p48.html | title = What Have We Learned From the Relativistic Heavy Ion Collider? | publisher = Physics Today | accessdate = 2007-01-10 }}</ref>


===Protogalaxies===
===Astronomical models===
{{main|Protogalaxy}}
Moving forward to after the existence of matter, more information is coming in on the formation of galaxies. It is believed that the earliest galaxies were tiny "dwarf galaxies" that released so much radiation they stripped gas atoms of their electrons. This gas, in turn, heated up and expanded, and thus was able to obtain the mass needed to form the larger galaxies that we know today.<ref> {{cite web | author = Ken Tan | authorlink = http://www.livescience.com/blogs/author/kerthan| title = New 'Hobbit' Galaxies Discovered Around Milky Way | publisher =[[space.com]] | date = [[2007-01-15]] | url = http://www.space.com/scienceastronomy/070115_mm_hobbit_galaxies.html | accessdate = 2007-03-01}} </ref> <ref> {{cite web | title = Dwarf Spheroidal Galaxies | publisher = The Uppsala Astronomical Observatory | url = http://www.astro.uu.se/~ns/review.html | accessdate = 2007-03-01}} </ref>


[[Image:Universum.jpg|thumb|250px|right|Hand-colored version of the [[Flammarion woodcut]], depicting the [[Aristotle|Aristotelian]] conception of the universe that preceded the models of [[Copernicus]] and [[Thomas Digges]].]]
Current telescopes are just now beginning to have the capacity to observe the galaxies from this distant time. Studying the light from [[quasars]], they observe how it passes through the intervening gas clouds. The ionization of these gas clouds is determined by the number of nearby bright galaxies, and if such galaxies are spread around, the ionization level should be constant. It turns out that in galaxies from the period after cosmic reionization there are large fluctuations in this ionization level. The evidence seems to confirm the pre-ionization galaxies were less common and that the post-ionization galaxies have 100 times the mass of the dwarf galaxies.


{{main|History of astronomy}}
The next generation of telescopes should be able to see the dwarf galaxies directly, which will help resolve the problem that many astronomical predictions in galaxy formation theory predict more nearby small galaxies.


More practical Greek philosophers were concerned with developing models of the universe that would account for the observed motion of the stars and planets. The first coherent model was proposed by [[Eudoxus of Cnidos]]. According to this model, space and time are infinite and eternal, but the distribution of matter is confined to certain rotating concentric spheres. This model was refined by [[Kallippos]] and [[Aristotle]], and brought to its highest level by [[Ptolemy]]. The success of this model is due to the mathematical fact that any function (such as the position of a planet) can be decomposed into a set of [[Fourier modes]].
===Ultimate fate===
{{main|Ultimate fate of the universe}}


[[Image:ThomasDiggesmap.JPG|thumb|left|200px|Model of the [[Copernicus|Copernican]] universe by [[Thomas Digges]] in 1576, with the amendment that the stars are no longer confined to a sphere, but spread uniformly throughout the space surrounding the [[planet]]s.]]
Depending on the average density of matter and energy in the universe, it will either keep on expanding forever or it will be gravitationally slowed down and will eventually collapse back on itself in a "[[Big Crunch]]". Currently the evidence suggests not only that there is insufficient mass/energy to cause a recollapse, but that the expansion of the universe seems to be accelerating and will accelerate for [[eternity]] (see [[accelerating universe]]). Potential consequences of this revelation lends credence to the [[Big Rip]], the [[Big Freeze]], and [[Heat death of the universe]] theories. For a more detailed discussion of other theories, see the [[ultimate fate of the universe]].


The Aristotelian model was accepted for roughly two millennia, until [[Copernicus]] proposed that the astronomical data could be explained better if the [[sun]] were placed at the center of the universe, rather than the [[earth]]. This allowed the stars to placed uniformly through the (infinite) space surrounding the planets, as first proposed by [[Thomas Digges]] and considered by [[Isaac Newton]].
==Composition==
The currently observable universe appears to have a geometrically flat space-time containing the equivalent mass-energy density of 9.9 &times; 10<sup>-30</sup> grams per cubic centimetre. This mass-energy appears to consist of 73% [[dark energy]], 23% cold [[dark matter]] and 4% atoms. Thus the density of atoms is on the order of a single hydrogen nucleus (or atom) for every four cubic meters of volume.<ref>{{cite web | last = Hinshaw | first = Gary |date= February 10, 2006 | url = http://map.gsfc.nasa.gov/m_uni/uni_101matter.html | title = What is the Universe Made Of? | publisher = NASA WMAP | accessdate = 2007-01-04 }}</ref> The exact nature of dark energy and cold dark matter remain a mystery.


{{cquote|In the center rests the sun. For who would place this lamp of a very beautiful temple in another or better place than this wherefrom it can illuminate everything at the same time.|20px|20px|[[Copernicus]]|Chapter 10, Book 1}}
It is theorized that, during the early phases of the big bang, equal amounts of matter and [[antimatter]] were formed. However, through a [[CP-violation]], physical processes resulted in an asymmetry in the amount of matter as compared to anti-matter. This asymmetry explains the amount of residual matter found in the universe today, as nearly all the matter and anti-matter would otherwise have annihilated each other when they came into contact.<ref>{{cite web |date= October 28, 2003 | url = http://www.pparc.ac.uk/ps/bbs/bbs_antimatter.asp | title = Antimatter | publisher = Particle Physics and Astronomy Research Council | accessdate = 2006-08-10 }}</ref>


The Newtonian cosmology, however, had several paradoxes that were resolved only with the development of [[general relativity]]. The first of these was that it assumed that space and time were infinite, and that the stars in the universe had existed for an infinite time; however, since stars are constantly radiating [[energy]], a finite star seems inconsistent with the radiation of infinite energy. Secondly, [[Johannes Kepler]] noted that the assumption of an infinite space filled uniformly with stars would lead to the prediction that the nightime sky would be as bright as the sun itself; this became known as [[Olber's paradox]] in the 19th century. Third, Newton himself showed that an infinite space uniformly filled with matter would cause infinite forces and instabilities causing the matter to be crushed inwards under its own gravity. This instability was clarified by the [[Jeans instability]] criterion. One solution to these latter two paradoxes is the [[Carl Charlier|Charlier universe]], in which the matter is arranged in a [[fractal]] way so that it has a neglgibly small overall density.
Prior to the formation of the first stars, the chemical composition of the Universe consisted primarily of [[hydrogen]] (75% of total mass), with a lesser amount of [[helium-4]] (<sup>4</sup>He) (24% of total mass) and trace amounts of the [[isotope]]s [[deuterium]] (<sup>2</sup>H), helium-3 (<sup>3</sup>He) and [[lithium]] (<sup>7</sup>Li).<ref>{{cite web | last = Wright | first = Edward L. |date= September 12, 2004 | url = http://www.astro.ucla.edu/~wright/BBNS.html | title = Big Bang Nucleosynthesis | publisher = UCLA | accessdate = 2007-01-05 }}</ref><ref>{{cite journal | author=M. Harwit, M. Spaans | title=Chemical Composition of the Early Universe | journal=The Astrophysical Journal | year=2003 | volume=589 | issue=1 | pages=53-57 | url=http://adsabs.harvard.edu/abs/2003ApJ...589...53H }}</ref> Subsequently the [[interstellar medium]] within galaxies has been steadily enriched by heavier elements. These are introduced as a result of [[supernova]] explosions, stellar winds and the expulsion of the outer envelope of evolved stars.<ref>{{cite journal | author=C. Kobulnicky, E. D. Skillman | title=Chemical Composition of the Early Universe | journal=Bulletin of the American Astronomical Society | year=1997 | volume=29 | pages=1329 | url=http://adsabs.harvard.edu/abs/1997AAS...191.7603K }}</ref>


The modern era of [[physical cosmology]] began in [[1917]], when [[Albert Einstein]] first applied his theory of [[general relativity]] to model the structure and dynamics of the universe. This theory and its implications will be discussed in more detail below, in the "Space and Time" section.
The big bang left behind a background flux of photons and [[neutrino]]s. The temperature of the background radiation has steadily decreased as the universe expands, and now primarily consists of microwave energy equivalent to a temperature of 2.725 [[Kelvin|K]].<ref>{{cite web | last = Hinshaw | first = Gary |date= December 15, 2005 | url = http://map.gsfc.nasa.gov/m_uni/uni_101bbtest3.html | title = Tests of the Big Bang: The CMB | publisher = NASA WMAP | accessdate = 2007-01-09 }}</ref> The neutrino background is not observable with present-day technology, but is theorized to have a density of about 150 neutrinos per cubic centimetre.<ref>{{cite web | last = Dumé | first = Belle |date= June 16, 2005 | url = http://map.gsfc.nasa.gov/m_uni/uni_101bbtest3.html | title = Background neutrinos join the limelight | publisher = Institute of Physics Publishing | accessdate = 2007-01-09 }}</ref>
==Theoretical models==


Of the four [[fundamental interaction]]s, [[gravity]] is dominant at cosmological length scales; that is, the other three forces are believed to play a negligible role in determining structures at the level of planets, stars, galaxies and larger-scale structures. The effects of the two nuclear interactions, the [[weak nuclear force|weak]] and [[strong nuclear force]]s, are mainly confined to sub-atomic length scales, because their strengths decrease very rapidly with distance. In principle, [[electromagnetism]] could be significant, being equally as long-ranged as gravity; however, the effects of positive and negative charges tend to cancel one another, leaving only a small residue. By contrast, all matter and energy gravitate, causing gravity's effects to be cumulative.
{{see also|Abundance of the chemical elements}}


==Physical structure==
===General relativity===
===Size===
[[Image:Hubble ultra deep field.jpg|225px|thumb|right|The deepest visible-light image of the cosmos, the [[Hubble Ultra Deep Field]].]]
{{main|Observable universe}}


{{main|Introduction to general relativity|General relativity}}
Very little is known about the size of the universe. It may be [[1000000000000 (number)#1012|trillions]] of light years across, or even infinite in size. A 2003 paper<ref>Neil J. Cornish, David N. Spergel, Glenn D. Starkman, and Eiichiro Komatsu, ''Constraining the Topology of the Universe''. [http://arxiv.org/abs/astro-ph/0310233 astro-ph/0310233]</ref> claims to establish a lower bound of 24 gigaparsecs (78 billion light years) on the size of the universe, but there is no reason to believe that this bound is anywhere near tight<!--no, this is not a misspelling of "right"-->. ''See'' [[shape of the Universe]] ''for more information.''


Given gravity's predominance in shaping cosmological structures, accurate predictions of the universe's past and future require an accurate theory of gravitation. The best available theory is [[general relativity]], which has passed all experimental tests hitherto. However, such experiments have not been carried out on cosmological length scales so, in principle, general relativity might be inaccurate. Nevertheless, its cosmological predictions appear to be consistent with observations, so there is no compelling reason to adopt another theory.
The ''observable'' (or ''visible'') universe, consisting of all locations that could have affected us since the Big Bang given the finite [[speed of light]], is certainly finite. The [[comoving distance]] to the edge of the visible universe is about 46.5 billion light years in all directions from the earth; thus the visible universe may be thought of as a perfect sphere with the Earth at its center and a diameter of about 93 billion light years.<ref>{{cite web | last = Lineweaver | first = Charles | coauthors = Tamara M. Davis | year = 2005 | url = http://www.sciam.com/article.cfm?articleID=0009F0CA-C523-1213-852383414B7F0147&pageNumber=5&catID=2 | title = Misconceptions about the Big Bang | publisher = [[Scientific American]] | accessdate = 2007-03-05}}</ref> Note that many sources have reported a wide variety of incorrect figures for the size of the visible universe, ranging from 13.7 to 180 billion light years. See [[Observable universe#Misconceptions|Observable universe]] for a list of incorrect figures published in the popular press with explanations of each.


General relativity consists of a set of equations (the [[Einstein field equations]]) that must be solved from the distribution of [[mass-energy]] and [[momentum]] throughout the universe. Since these are unknown in exact detail, cosmological models have been based on the [[cosmological principle]], which states that the universe is homogeneous and isotropic. In effect, the various galaxies making up the universe are replaced by a fine uniform dust distributed equally throughout the universe. Assuming the cosmological principle makes it easy to solve the Einstein equations and predict the past and future of the universe on cosmological time scales.
===Shape===
{{main|Shape of the universe|Large-scale structure of the cosmos}}
An important open question of cosmology is the shape of the universe. Mathematically, which [[manifold|3-manifold]] best represents the spatial part of the universe?


===Special relativity and space-time===
Firstly, whether the universe is spatially ''flat'', i.e. whether the rules of [[Euclidean geometry]] are valid on the largest scales, is unknown. Currently, most cosmologists believe that the observable universe is very nearly spatially flat, with local wrinkles where massive objects distort [[spacetime]], just as the surface of a lake is nearly flat. This opinion was strengthened by the latest data from [[WMAP]], looking at "acoustic oscillations" in the cosmic microwave background radiation temperature variations.<ref name="Shape">http://map.gsfc.nasa.gov/m_mm/mr_content.html</ref>


{{main|Introduction to special relativity|Special relativity}}
Secondly, whether the universe is [[multiply connected]] is unknown. The universe has no spatial boundary according to the standard Big Bang model, but nevertheless may be spatially finite ([[compact space|compact]]). This can be understood using a two-dimensional analogy: the surface of a [[sphere]] has no edge, but nonetheless has a finite area. It is a two-dimensional surface with constant curvature in a third dimension. The [[3-sphere]] is a three-dimensional equivalent in which all three dimensions are constantly curved in a fourth.


The universe has at least three [[space|spatial]] and one temporal ([[time]]) dimension. It was long thought that the spatial and temporal dimensions were different in nature and independent of one another. However, according to the theory of [[special relativity]], spatial and temporal separations are interconvertible (within limits) by changing one's reference frame.
If the universe were compact and without boundary, it would be possible after traveling a sufficient distance to arrive back where one began. Hence, the light from stars and galaxies could pass through the observable universe more than once. If the universe were multiply-connected and sufficiently small (and of an appropriate, perhaps complex, shape) then conceivably one might be able to see once or several times around it in some (or all) directions. Although this possibility has not been ruled out, the results of the latest [[cosmic microwave background]] research make this appear very unlikely.


[[Image:Only distance is real.svg|thumb|200px|right|Only its length ''s'' is intrinsic to the rod (shown in black); the coordinate differences Δx, Δy, etc. depend on the frame of reference (in blue and red).]]
===Homogeneity and isotropy===
[[Image:WMAP_2003.png|left|thumb|250px|Fluctuations in the microwave background radiation. ''NASA/WMAP image.'']]
While there is considerable fractalized structure at the local level (arranged in a hierarchy of clustering), on the highest orders of distance the universe is very homogeneous. On these scales the density of the universe is very uniform, and there is no preferred direction or significant asymmetry to the universe. This homogeneity is a requirement of the [[Friedmann-Lemaître-Robertson-Walker metric]] employed in modern cosmological models.<ref>{{cite journal | author=N. Mandolesi, P. Calzolari, S. Cortiglioni, F. Delpino, G. Sironi | title=Large-scale homogeneity of the Universe measured by the microwave background | journal=Letters to Nature | year=1986 | volume=319 | pages=751-753 | url=http://www.nature.com/nature/journal/v319/n6056/abs/319751a0.html }}</ref>


To understand this interconversion, it is helpful to consider the analogous interconversion of spatial separations along the three spatial dimensions. Consider the two endpoints of a rod of length ''l''. The length can be determined from the differences in the three coordinates Δx, Δy and Δz of the two endpoints in a given reference frame
The question of anisotropy in the early universe was significantly answered by the [[Wilkinson Microwave Anisotropy Probe]], which looked for fluctuations in the microwave background intensity.<ref>{{cite web | last = Hinshaw | first = Gary |date= November 29, 2006 | url = http://map.gsfc.nasa.gov/m_mm.html | title = New Three Year Results on the Oldest Light in the Universe | publisher = NASA WMAP | accessdate = 2006-08-10 }}</ref> The measurements of this anisotropy have provided useful information and constraints about the evolution of the universe.


:<math>
To the limit of the observing power of astronomical instruments, objects radiate and absorb energy according to the same [[physical law]]s as they do within our own galaxy.<ref>{{cite web | last = Strobel | first = Nick |date= May 23, 2001 | url = http://www.astronomynotes.com/starprop/s7.htm | title = The Composition of Stars | publisher = Astronomy Notes | accessdate = 2007-01-04 }}</ref> Based on this, it is believed that the same physical laws and constants are universally applicable throughout the observable universe. No confirmed evidence has yet been found to show that physical constants have varied since the big bang, and the possible variation is becoming well constrained.<ref>{{cite web | url = http://www.faqs.org/faqs/astronomy/faq/part4/section-4.html | title = Have physical constants changed with time? | publisher = Astrophysics (Astronomy Frequently Asked Questions) | accessdate = 2007-01-04 }}</ref>
l^{2} = \Delta x^{2} + \Delta y^{2} + \Delta z^{2}
</math>


using the [[Pythagorean theorem]]. In a rotated reference frame, the coordinate differences will differ, although they naturally give the same length
==Other terms==
[[Image:Universum.jpg|thumb|180px|Colorized version of the [[Flammarion woodcut]]. The original was published in Paris in 1888]]
Different words have been used throughout [[history]] to denote "all of space", including the equivalents and variants in various languages of "heavens", "[[cosmos]]", and "world". [[Macrocosm]] has also been used to this effect, although it is more specifically defined as a system that reflects in large scale one, some, or all of its component systems or parts. (Similarly, a [[microcosm]] is a system that reflects in small scale a much larger system of which it is a part.)


:<math>
Although words like [[world]] and its equivalents in other languages now almost always refer to the planet [[Earth]], they previously referred to everything that exists—see [[Copernicus]], for example—and still sometimes do (as in "the whole wide world"). Some languages use the word for "world" as part of the word for [[Outer space]], e.g. in the [[German language|German]] word "Weltraum".<ref>[[Albert Einstein]] (1952). ''Relativity: The Special and the General Theory (Fifteenth Edition)'', ISBN 0-517-88441-0.</ref>
l^{2} = \Delta \xi^{2} + \Delta \eta^{2} + \Delta \zeta^{2}
<!-- Studies of the Universe other than Earth, usually fall into the terms of the various "Astronomy" Sciences; also called [[Astrosciences]]. -->
</math>


Thus, the coordinates differences are not intrinsic to the rod, but reflect the reference frame used to describe it; by contrast, the length ''l'' is intrinsic. The coordinate differences can be changed freely without affecting the rod, merely by rotating one's reference frame.
==Notes and references==

{{reflist|2}}
The analogy in [[spacetime]] is called the interval between two events; an event is defined as a point in spacetime, a specific position in space and a specific moment in time. The spacetime interval between two events is given by

:<math>
s^{2} = l_{1}^{2} - c^{2} \Delta t_{1}^{2} = l_{2}^{2} - c^{2} \Delta t_{2}^{2}
</math>

where ''c'' is the speed of light. Thus, by changing one's reference frame, one can change a spatial and time separation (''l''<sub>1</sub>, Δ''t''<sub>1</sub>) into another (''l''<sub>2</sub>, Δ''t''<sub>2</sub>), as long as the change maintains the spacetime interval ''s''. Such a change in reference frame can be obtained by changing one's motion; a moving frame will measure different lengths and times from those measured in a stationary reference frame.

===Solving Einstein's equations===

{{See also|Big Bang|Ultimate fate of the universe}}

In non-Cartesian (non-square) or curved coordinate systems, the Pythagorean theorem holds only on infinitesimal length scales and must be augmented with a more general [[metric tensor]] ''g''<sup>μν</sup>, which can vary from place to place and which describes the local geometry in the particular coordinate system. However, assuming the [[cosmological principle]], every point in space is like every other point; hence, the metric tensor must be the same everywhere. That leads to a single form for the metric tensor, called the [[Friedmann-Lemaître-Robertson-Walker metric]]

:<math>
ds^2 = -c^{2} dt^2 +
R(t)^2 \left( \frac{dr^2}{1-k r^2} + r^2 d\theta^2 + r^2 \sin^2 \theta \, d\phi^2 \right)
</math>

where (''r'', θ, φ) correspond to a [[spherical coordinate system]]. This [[metric (mathematics)|metric]] has only two undetermined parameters: an overall length scale ''R'' that can vary with time, and a curvature index ''k'' that can be only zero, one or -1, corresponding to flat [[Euclidean geometry]], or spaces of positive or negative [[curvature]]. In cosmology, solving for the history of the universe is done by calculating ''R'' as a function of time, given ''k'' and the value of the [[cosmological constant]] Λ, which is a (small) parameter in Einstein's field equations. The equation describing how ''R'' varies with time is known as the [[Friedmann equation]], after its inventor, [[Alexander Friedmann]].

The solutions for ''R(t)'' depend on ''k'' and Λ, but some qualitative features of such solutions are general. First and most importantly, the length scale ''R'' of the universe can remain constant ''only'' if the universe is perfectly isotropic with positive curvature (''k''=1) and has one precise value of density everywhere. Since this equilibrium is unstable and since the universe is known to be inhomogeneous on smaller scales, ''R'' must change, according to [[general relativity]]. When ''R'' changes, all the spatial distances in the universe change in tandem; there is an overall expansion or contraction of space itself. The accounts for the observation that galaxies appear to be flying apart; space is being created between them. The stretching of space also accounts for the apparent paradox that two galaxies can be 40 billion light years apart, although they started from the same point 13.7 billion years ago and never moved faster than the [[speed of light]].

Second, all solutions suggest that there was a [[gravitational singularity]] in the past, when ''R'' goes to zero and matter and energy became infinitely dense. It may seem that this conclusion is uncertain since it seems based on the assumptions of homogeneity and isotropy (the [[cosmological principle]]) and that only the gravitational interaction matters. However, the [[Penrose-Hawking singularity theorems]] show that a singularity should exist for very general conditions. According to the equations, ''R'' should grow rapidly from an unimaginably hot, dense state that existed immediately following this singularity (when ''R'' had a small, finite value); this is the essence of the [[Big Bang]] model of the universe.

Third, the curvature index ''k'' determines the sign of the mean curvature of [[spacetime]] averaged over length scales greater than a billion [[light year]]s. If ''k''=1, the curvature is positive and the universe has a finite volume. Such universes are often visualized as a [[3-sphere|three-dimensional sphere ''S''<sup>3</sup> embedded in a four-dimensional space]]. Conversely, if ''k'' is zero or negative, the universe ''may'' have infinite volume, depending on its overall [[topology]]. It may seem counter-intuitive that an infinite and yet infinitely dense universe could be created in a single instant at the [[Big Bang]] when ''R''=0, but that is indeed a possibility when ''k'' does not equal 1. For comparison, an infinite plane has zero curvature but infinite area, whereas an infinite [[cylinder]] is finite in one direction and a [[torus]] in finite in both. A toroidal universe could behave like a normal universe with [[periodic boundary conditions]], as seen in some [[video games]]; a traveller crossing an outer "boundary" of space going ''outwards'' would reappear instantly at another point on the boundary moving ''inwards''.

The [[ultimate fate of the universe]] is still unknown, since it depends critically on the curvature index ''k'' and the [[cosmological constant]] Λ. If the universe is sufficiently dense, ''k'' equals +1, meaning that its average curvature throughout is positive and the universe will eventually recollapse in a [[Big Crunch]], possibly starting a new universe in a [[Big Bounce]]. Conversely, if the universe is insufficiently dense, ''k'' equals 0 or -1 and the universe will expand forever, cooling off and eventually becoming inhospitable for all life, as the stars die and all matter coalesces into black holes (the [[Big Freeze]] and the [[heat death of the universe]]). As noted above, recent data suggests that the expansion of the universe is not decreasing as originally expected, but accelerating; if this continues indefinitely, the universe will eventually rip itself to shreds (the [[Big Rip]]). Experimentally, the universe has an overall density that is very close to the critical value between recollapse and eternal expansion; more careful astronomical observations are needed to decide the question.

===Prevailing Big Bang model===

{{main|Big Bang|Timeline of the Big Bang|Nucleosynthesis|Lambda-CDM model}}

The prevailing Big Bang model accounts for many of the experimental observations described above, such as the correlation of distance and [[redshift]] of galaxies, the universal ratio of hydrogen:helium atoms, and the ubiquitous, isotropic microwave radiation background. As noted above, the redshift arises from the [[metric expansion of space]]; as the space itself expands, the wavelength of a [[photon]] traveling through space likewise increases, decreasing its energy. The longer a photon has been traveling, the more expansion it has undergone; hence, older photons from more distant galaxies are the most red-shifted. Determining the correlation between distance and redshift is an important problem in experimental [[physical cosmology]].

Other experimental observations can be explained by combining the overall expansion of space with [[nuclear physics|nuclear]] and [[atomic physics]]. As the universe expands, the energy density of the [[electromagnetic radiation]] decreases more quickly than does that of [[matter]], since the energy of a photon decreases with its wavelength. Thus, although the energy density of the universe is now dominated by matter, it was once dominated by radiation; poetically speaking, all was [[light]]. As the universe expanded, its energy density decreased and it became cooler; as it did so, the [[elementary particle]]s of matter could associate stably into ever larger combinations. Thus, in the early part of the matter-dominated era, stable [[proton]]s and [[neutron]]s formed, which then associated into [[atomic nuclei]]. At this stage, the matter in the universe was mainly a hot, dense [[plasma]] of negative [[electron]]s, neutral [[neutrino]]s and positive nuclei. [[Nuclear reaction]]s among the nuclei led to the present abundances of the lighter nuclei, particularly [[hydrogen]], [[deuterium]], and [[helium]]. Eventually, the electrons and nuclei combined to form stable [[atom]]s, which are transparent to most wavelengths of radiation; at this point, the radiation decoupled from the matter, forming the ubiquitous, isotropic background of microwave radiation observed today.

Other observations are not definitively answered by known physics. It is believed that the Universe was created with a slight imbalance of [[matter]] over [[antimatter]], owing to the [[CP violation]] observed by particle physicists. The matter and antimatter mainly annihilated each other, producing the present matter-dominated universe. Several lines of evidence also suggest that a rapid [[cosmic inflation]] of the universe occurred very early in its history (roughly 10<sup>-35</sup> seconds after its creation). Recent observations also suggest that the [[cosmological constant]] Λ is not zero and that the net [[mass-energy]] content of the universe is dominated by a hitherto mysterious [[dark energy]] and [[dark matter]].

===Alternative cosmologies===

{{main|Non-standard cosmology}}

Despite its experimental verification, some scientists find the theory of [[general relativity]] implausible and have suggested alternatives. Such theories can only be considered scientific if they offer testable predictions that differ from those of general relativity. The main scientific alternative is the [[Brans-Dicke theory]], which augments general relativity with a [[scalar field]] that determines the local value of the [[gravitational constant]] ''G''. Other, more radical suggestions include the [[Dirac large numbers hypothesis|variable G cosmologies]] (in which the universe's [[physical constant]]s vary with the age or size of the universe), the [[tired light]] hypothesis of [[Zwicky]], and the [[plasma cosmology]] theory. The validity of most such theories seems unlikely, given the available data.

The [[steady-state theory]] of cosmology was popular in the 1950s; according to this theory, the universe has been the same at all times, as well as being homogeneous and isotropic (the [[perfect cosmological principle]]). This theory predicts that the [[conservation of energy]] is violated, albeit very slightly. This theory made admirably precise predictions, which have since been disproven by experimental observations.

==Multiverse==

{{main|Multiverse|Many-worlds hypothesis|Bubble universe theory|Parallel universe (fiction)}}

Some speculative theories have proposed that this universe is but one of a [[set]] of disconnected universes, collectively denoted as the [[multiverse]].<ref name="EllisKS03" /><ref>{{cite journal | author = Munitz MK | year = 1959 | title = One Universe or Many? | journal = Journal of the History of Ideas | volume = 12 | pages = 231&ndash;255 | url = http://links.jstor.org/sici?sici=0022-5037(195104)12%3A2%3C231%3AOUOM%3E2.0.CO%3B2-F}}</ref> By definition, there is no possible way for anything in one universe to affect another; if two "universes" could affect one another, they would be part of a single universe. Thus, although some fictional characters travel between "[[parallel universe (fiction)|parallel fictional "universes"]], this is a loose usage of the term "universe".


There are two scientific senses in which multiple can occur. First, disconnected [[spacetime]] [[continuum|continua]] may exist; presumably, all forms of matter and energy are confined to one universe and cannot "tunnel" between them. An example of such a theory is the [[bubble universe theory|chaotic inflation]] model of the early universe.<ref name="chaotic_inflation">{{cite journal | author = Linde A | year = 1986 | title = Eternal chaotic inflation | journal = Mod. Phys. Lett. | volume = A1 | pages = 81}}<br />{{cite journal | author = Linde A | year = 1986 | title = Eternally existing self-reproducing chaotic inflationary universe | journal = Phys. Lett. | volume = B175 | pages = 395&ndash;400}}</ref> Second, according to the [[many-worlds hypothesis]], a parallel universe is born with every [[quantum measurement]]; the universe "forks" into parallel copies, each one corresponding to a different outcome of the quantum measurement. Authors have explored this concept in some fiction, most notably [[Jorge Borges]]' short story ''[[The Garden of Forking Paths]]''. However, both senses of the term "multiverse" are speculative and may be considered unscientific; the fact that universes cannot interact makes it impossible to test experimentally in this universe whether another universe exists.
==See also==
==See also==
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* [[World view]]
* [[World view]]
{{col-end}}
{{col-end}}

==Notes and references==
{{reflist|2}}

==Further reading==

* {{cite book | author = Rindberg W | year = 1977 | title = Essential Relativity: Special, General, and Cosmological | publisher = Springer Verlag | location = New York | isbn = 0-387-10090-3 | pages = pp. 193&ndash;244}}

* {{cite book | author = Weinberg S| year = 1972 | title = Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity | publisher = John Wiley and Sons | location = New York | isbn = 0-471-92567-5 | pages = pp. 407&ndash;633}}

* {{cite book | author = Gal-Or, B | date = 1983 | title=Cosmology, Physics and Philosophy | publisher = Springer Verlag | location = New York | isbn = 978-0387905815}}


==External links==
==External links==
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Revision as of 17:31, 9 December 2007

The Universe is everything that exists: the entirety of space and time, all forms of matter, energy and momentum, and the physical laws and physical constants that govern them. In a well-defined, mathematical sense, the universe can even be said to contain that which does not exist; according to the path-integral formulation of quantum mechanics, even unrealized possibilities contribute to the probability amplitudes of events in the universe.[1] The universe is sometimes denoted as the cosmos or Nature, as in "cosmology" or "natural philosophy".

Scientific experiments have yielded several general facts about the observable universe. The age of the universe is estimated to be 13.7±0.2 billion years [2]. The universe is very large, possibly infinite, being at least 93 billion light years across, and consisting mainly of matter, rather than antimatter. Only 4% of the matter and energy in the universe is luminous, that is, directly observable from its emitted electromagnetic radiation ("light" in its most general sense); the remainder consists of dark energy (73%) and dark matter (23%), both of which are mysterious. The luminous matter within the universe is sparse and consists principally of galaxies, which are distributed uniformly when averaged over length-scales longer than 300 million light years; on smaller length scales, galaxies tend to clump into clusters, superclusters and even larger structures. The light arriving from distant galaxies is detectably redshifted, with the redshift increasing with the galaxy's distance from Earth. The universe is bathed in a microwave radiation that is highly isotropic (uniform across different directions), and corresponds to a blackbody spectrum of roughly 2.7 Kelvin. The relative percentages of the lighter chemical elements — especially hydrogen, deuterium and helium — is apparently the same throughout the universe. The universe is believed to be expanding, in the sense that space itself is enlarging with time; even objects initially at rest to one another will appear to fly apart as new space is created between them. The universe has at least three spatial dimensions and one temporal (time) dimension, although extremely small additional dimensions cannot be ruled out experimentally; spacetime appears to be smoothly and simply connected, with very small curvature, so that Euclidean geometry is accurate on the average throughout the universe. The universe appears to be governed by the same physical laws and constants throughout its extent and history.

Throughout their recorded history, humans have proposed several cosmologies and cosmogonies to account for their observations of the universe. The earliest quantitative models were developed by the ancient Greeks, who proposed that the universe possessed infinite space and had existed eternally, but contained a single set of concentric spheres of finite size (corresponding to the fixed stars, the Sun and various planets) rotating about a spherical but unmoving Earth. Over the centuries, more careful astronomical observations and improved theories of gravity led to the present theory of the Big Bang and, more specifically, the Lambda-CDM model, which accounts for the available data. According to such theories, everything in the universe — all forms of matter and energy, and even spacetime itself — came into being at a single event, a gravitational singularity; as space expanded with time, the matter and energy cooled sufficiently to allow the stable condensation of elementary particles into the primordial nuclei and atoms. Once atoms formed, matter became mostly transparent to electromagnetic radiation; the ambient microwave radiation observed today is the residual radiation that decoupled from the matter.

According to the prevailing scientific models, the Universe is governed by the Standard Model of physics (which governs various forms of matter and fields), as well as special and general relativity (which govern spacetime and its interaction with matter and fields). On cosmological length scales, the dominant interaction in the universe is gravitation. Hence, the theory of general relativity (the most accurate description of gravity presently available) offers the best predictions for the overall development of the universe, including its origin, expansion (which mainly accounts for the observed redshift), large-scale structure and ultimate fate. However, components of the Standard Model — particularly those relating to nucleosynthesis, atomic spectra, and CP violation — are needed to account for other experimental observations, such as the distribution of chemical elements and microwave radiation throughout the universe, as well as the matter-antimatter asymmetry.

According to some speculations, this universe may be one of many disconnected universes, which are collectively denoted as the multiverse. In one theory, there is an infinite variety of universes, each with different values of the physical constants. In another theory, new universes are spawned with every quantum measurement. However, these speculations cannot be tested experimentally since, by definition, other universes cannot interact with our own.

Etymology, synonyms and definitions

The word "universe" is derived from Old French univers, from Latin universum, which combines uni- (the combining form of unus, or "one") with versus (perfect passive participle of vertere, or "turn"). The word, therefore, can mean "[everything] rolled into one" or "revolving as one" or "orbiting as one". This may derive from the early Greek model of the universe, in which all matter was contained within rotating, concentric spheres.

Synonyms for the universe include the cosmos, Nature and everything (as in the "theory of everything"). These synonyms were already in use among the ancient Greek philosophers; κοσμος is a Greek word, and Aristotle often refers to the universe as το παν (The All), or απαντα τα οντα (everything that exists). Such synonyms are found in other languages as well, such as the German word Weltall for universe.

Broadest definition: reality and probability

The broadest definition of the universe is found in De divisione naturae by the medieval philosopher Johannes Scotus Eriugena, who defined it as simply everything: everything that exists and everything that does not exist. Time is not considered in Eriugena's definition; thus, his definition includes everything that exists, has existed and will exist, as well as everything that does not exist, has never existed and will never exist. This all-embracing definition was not adopted by most later philosophers, but it is relevant in quantum physics, particularly the path-integral formulation of Feynman.[1] According to that formulation, the probability amplitudes for the various outcomes of an experiment given a perfectly defined initial state of the system are determined by summing over all possible paths by which the system could progress from the initial to final state. However, the experiment has only one outcome; only one possible outcome is realized in this universe, via the mysterious process of quantum measurement, also known as the collapse of the wavefunction (but see the many-worlds hypothesis below in the Multiverse section). In this well-defined mathematical sense, even that which does not exist (all possible paths) can influence that which does finally exist (the experimental measurement); prior to measurement, the ultimately non-existent contributes to the universe on an equal footing with the ultimately existent. As a specific example, every electron is intrinsically identical to every other; therefore, probability amplitudes must be computed allowing for the possibility that they exchange positions, something known as exchange symmetry. This conception of the universe embracing both the real and the possible but unreal is loosely related to the Buddhist doctrines of shunyata and interdependent development of reality, and in Gottfried Leibniz's more modern concepts of contingency and the identity of indiscernibles.

Definition as reality

More customarily, the universe is defined as everything that exists, has existed and will exist. According to this definition and our present understanding, the universe consists of three elements: space and time, collectively known as space-time or the vacuum; matter and various forms of energy and momentum occupying space-time; and the physical laws that govern the first two. These elements will be discussed in greater detail below.

This triple division corresponds roughly to the ideas of Aristotle. In his book The Physics (Φυσικης, from which we derive the word "physics"), Aristotle divided ’το παν (everything) into three elements: matter (the stuff of which the universe is made), form (the arrangement of that matter in space) and change (how matter is created, destroyed or altered in its properties, and similarly, how form is altered). Physical laws were conceived as the rules governing the properties of matter, form and their changes. Later philosophers such as Lucretius, Averroes, Avicenna and Baruch Spinoza altered or refined these divisions; for example, Averroes and Spinoza discern natura naturans (the active principles governing the universe) from natura naturata, the passive elements upon which the former act.

Definition as connected space-time

It is possible to conceive of disconnected space-times, each existing but unable to interact with one another. An easily visualized metaphor is a group of separate soap bubbles, in which observers living on one soap bubble cannot interact with those on other soap bubbles, even in principle. According to one common terminology, each "soap bubble" of space-time is denoted as a universe, whereas our particular space-time is denoted as the Universe, just as we call our moon the Moon. The entire collection of these separate space-times is denoted as the multiverse.[3] In principle, the other unconnected universes may have different dimensionalities and topologies of space-time, different forms of matter and energy, and different physical laws and physical constants.

Definition as observable reality

According to a still more restrictive definition, the universe is everything within our connected space-time that could ever interact with us and vice versa. According to the theory of general relativity, some regions of space may never interact with ours even in the lifetime of the universe, due to the finite speed of light and the expansion of space. For example, radio messages sent from Earth may never reach some regions of space, even if the universe lives forever; space may expand faster than light can cover it. It is worth emphasizing that those distant regions of space are taken to exist and be part of reality as much as we are; yet we can never interact with them. The spatial region within which we can affect and be affected is denoted as the observable universe. Strictly speaking, the observable universe depends on the observer. By traveling, an observer can come into contact with a greater region of space-time than an observer who remains still, so that the observable universe for the former is larger than for the latter; nevertheless, even the most rapid traveler may not be able to interact with all of space. Typically, the observable universe is taken to mean the universe observable from a stationary observer on Earth.

Scientific observations

The Hubble Ultra Deep Field image of a small region of the sky, near the constellation Fornax. The light from the smallest, most redshifted galaxies originated roughly 13 billion years ago.

The universe is very large and possibly infinite in volume. The observable matter is spread over a space at least 93 billion light years across;[4] for comparison, the diameter of a typical galaxy is only 30,000 light-years, and the typical distance between two neighboring galaxies is only 3 million light-years. For example, our Milky Way galaxy is roughly 100,000 light years in diameter, and our nearest sister galaxy, the Andromeda Galaxy, is located roughly 2.5 million light years away.

The observable matter is spread uniformly (homogeneously) throughout the universe, when averaged over distances longer than 300 million light-years.[5] However, on smaller length-scales, matter is observed to form "clumps", i.e., to cluster hierarchically; most atoms are condensed into stars, most stars into galaxies, most galaxies into clusters, superclusters and, finally, the largest-scale structures such as the Great Wall of galaxies. The observable matter of the universe is also spread isotropically, meaning that no direction of observation seems different from any other; each region of the sky has roughly the same content.[6] The universe is also bathed in a highly isotropic microwave radiation that corresponds to a thermal equilibrium blackbody spectrum of roughly 2.725 Kelvin.[7] The hypothesis, now apparently confirmed, that the large-scale universe is homogeneous and isotropic is known as the cosmological principle.

The present overall density of the universe is very low, roughly 9.9 × 10-30 grams per cubic centimetre. This mass-energy appears to consist of 73% dark energy, 23% cold dark matter and 4% ordinary matter. Thus the density of atoms is on the order of a single hydrogen atom for every four cubic meters of volume.[8] The nature of dark energy and dark matter are presently unknown.

The universe is old and evolving. Various data suggest that the universe is at least 10 billion years old; the most precise current estimate is 13.7±0.2 billion years old.[2] Independent estimates (based on measurements such as radioactive dating) agree, although they are less precise, ranging from 11-20 billions years[9] to 13–15 billion years.[10] The universe was not the same at all times; the relative populations of cosmological objects such as quasars and galaxies has changed and space itself appears to be expanding. This expansion accounts for how two galaxies can be 90 billion light years apart, even if they have traveled for only 13.7 billion years at speeds less than the speed of light; the very space between them has expanded. This expansion is consistent with the observation that the light from distant galaxies has been redshifted; the photons emitted have been stretched to longer wavelengths and lower frequency during their journey. The rate of this spatial expansion is accelerating, based on studies of Type Ia supernovae and corroborated by other data.

The relative fractions of different chemical elements — particularly the lightest atoms such as hydrogen, deuterium and helium — seem to be identical throughout the universe and throughout its observable history.[11] The universe seems to have much more matter than antimatter, an asymmetry possibly related to the observations of CP violation.[12] The universe appears to have no net electric charge, and therefore gravity appears to be the dominant interaction on cosmological length scales. The universe appears to have no net momentum and angular momentum. The absence of net charge and momentum would follow from accepted physical laws (Gauss's law and the non-divergence of the stress-energy-momentum pseudotensor, respectively), if the universe were finite.

Finally, the universe appears to have a smooth spacetime continuum consisting of three spatial dimensions and one temporal (time) dimension. The spacetime is observed to be very nearly flat (close to zero curvature), meaning that Euclidean geometry is experimentally true with high accuracy.[13] Spacetime also appears to have a simply connected topology, at least on the length-scale of the observable universe. However, present observations cannot exclude the possibilities that the universe has more dimensions and that its spacetime may have a multiply connected global topology, in analogy with the cylindrical or toroidal topologies of two-dimensional spaces.[14]

The universe appears to be governed throughout by the same physical laws and physical constants.[15] According to the prevailing Standard Model of physics, all matter is composed of three generations of leptons and quarks, both of which are fermions. These elementary particles interact via at most three fundamental interactions: the electroweak interaction which includes electromagnetism and the weak nuclear force; the strong nuclear force described by quantum chromodynamics; and gravity, which is best described at present by general relativity. The first two interactions can be described by renormalized quantum field theory, and are mediated by gauge bosons that correspond to a particular type of gauge symmetry. A renormalized quantum field thoery theory of general relativity has not yet been achieved, although various forms of string theory seem promising. The theory of special relativity is believed to hold throughout the universe, provided that the spatial and temporal length scales are sufficiently short; otherwise, the more general theory of general relativity must be applied. There is no explanation for the particular values that physical constants appear to have throughout our universe, such as Planck's constant h or the gravitational constant G. Several conservation laws have been identified, such as the conservation of charge, momentum, angular momentum and energy; in many cases, these conservation laws can be related to symmetries or mathematical identities.

Historical models

Many models of the cosmos (cosmologies) and its origin (cosmogonies) have been proposed, based on the then available data and conceptions of the universe.

Creation stories

Sumerian account of the creatrix goddess Nammu, the precursor of the Assyrian goddess Tiamat; perhaps the earliest surviving creation story.

Many cultures have stories describing the creation of the world, which may be roughly grouped into common types. In one type of story, the world is born from a world egg; such stories include the Finnish epic poem Kalevala, the Chinese story of Pangu or the Indian Brahmanda Purana. In related stories, the creation is caused by a single god emanating or producing something by themselves, as in Buddhist concept of Adi-Buddha, the ancient Greek story of Gaia (Mother Earth), the Aztec goddess Coatlicue or the ancient Egyptian god Atum. In another type of story, the world is created from the union of male and female deities, as in the Maori story of Rangi and Papa. In other stories, the universe is created by crafting it from pre-existing materials, such as the corpse of a dead god - as from Tiamat in the Babylonian epic Enuma Elish or from the giant Ymir in Norse mythology - or from chaotic materials, as in Izanagi and Izanami in Japanese mythology. In another type of story, the world is created by divine speech, as in the ancient Egyptian story of Ptah or the Biblical account in Genesis. In other stories, the universe is emanates from fundamental principles, such as Brahman and Prakrti, or the yin and yang of the Tao.

Milanese flag (c. 1450) depicting the four classical elements in the outermost ring. Fire and Air are above, holding red and white spheres, respectively; Water and Earth are below, holding blue and green spheres, respectively.

Philosophical models

The first philosophical models of the universe were developed by the pre-Socratic philosophers. The earliest Greek philosophers noted that appearances can be deceiving, and sought to understand the underlying reality behind the appearances. In particular, they noted the ability of matter to change forms (e.g., ice to water to steam) and several philosophers proposed that all the apparently different materials of the world (wood, metal, etc.) are all different forms of a single material, the arche. The first to do so was Thales, who called this material Water. Following him, Anaximenes called it Air, and posited that there must be attractive and repulsive forces that cause the arche to condense or dissociate into different forms. Empedocles proposed that multiple fundamental materials were necessary to explain the diversity of the universe, and proposed that all four classical elements (Earth, Air, Fire and Water) existed, albeit in different combinations and forms. This four-element theory was adopted by many of the subsequent philosophers. Some philosophers before Empedocles advocated less material things for the arche; Heraclitus argued for a Logos, Pythagoras believed that all things were composed of numbers, whereas Thales' student, Anaximander, proposed that everything was composed of a chaotic substance known as apeiron, roughly corresponding to the modern concept of a quantum foam. Various modifications of the apeiron theory were proposed, most notably that of Anaxagoras, which proposed that the various matter is the world was spun off from a rapidly rotating apeiron, set in motion by the principle of Nous (Mind). Still other philosophers — most notably Leucippus and Democritus — proposed that the universe was composed of indivisible atoms moving through empty space, a vacuum; Aristotle opposed this view ("Nature abhors a vacuum") on the grounds that resistance to motion increases with density; hence, empty space should offer no resistance to motion, leading to the possibility of infinite speed.

Although Heraclitus argued for eternal change, his rough contemporary Parmenides made the radical suggestion that all change is an illusion, that the true underlying reality is eternally unchanging and of a single nature. Parmenides denoted this reality as το εν (The One). Parmenides' theory seemed implausible to many Greeks, but his student Zeno of Elea challenged them with several famous paradoxes. Aristotle resolved these paradoxes by developing the notion of an infinitely divisible continuum, and applying it to space and time.

Astronomical models

Hand-colored version of the Flammarion woodcut, depicting the Aristotelian conception of the universe that preceded the models of Copernicus and Thomas Digges.

More practical Greek philosophers were concerned with developing models of the universe that would account for the observed motion of the stars and planets. The first coherent model was proposed by Eudoxus of Cnidos. According to this model, space and time are infinite and eternal, but the distribution of matter is confined to certain rotating concentric spheres. This model was refined by Kallippos and Aristotle, and brought to its highest level by Ptolemy. The success of this model is due to the mathematical fact that any function (such as the position of a planet) can be decomposed into a set of Fourier modes.

Model of the Copernican universe by Thomas Digges in 1576, with the amendment that the stars are no longer confined to a sphere, but spread uniformly throughout the space surrounding the planets.

The Aristotelian model was accepted for roughly two millennia, until Copernicus proposed that the astronomical data could be explained better if the sun were placed at the center of the universe, rather than the earth. This allowed the stars to placed uniformly through the (infinite) space surrounding the planets, as first proposed by Thomas Digges and considered by Isaac Newton.

In the center rests the sun. For who would place this lamp of a very beautiful temple in another or better place than this wherefrom it can illuminate everything at the same time.

— Copernicus, Chapter 10, Book 1

The Newtonian cosmology, however, had several paradoxes that were resolved only with the development of general relativity. The first of these was that it assumed that space and time were infinite, and that the stars in the universe had existed for an infinite time; however, since stars are constantly radiating energy, a finite star seems inconsistent with the radiation of infinite energy. Secondly, Johannes Kepler noted that the assumption of an infinite space filled uniformly with stars would lead to the prediction that the nightime sky would be as bright as the sun itself; this became known as Olber's paradox in the 19th century. Third, Newton himself showed that an infinite space uniformly filled with matter would cause infinite forces and instabilities causing the matter to be crushed inwards under its own gravity. This instability was clarified by the Jeans instability criterion. One solution to these latter two paradoxes is the Charlier universe, in which the matter is arranged in a fractal way so that it has a neglgibly small overall density.

The modern era of physical cosmology began in 1917, when Albert Einstein first applied his theory of general relativity to model the structure and dynamics of the universe. This theory and its implications will be discussed in more detail below, in the "Space and Time" section.

Theoretical models

Of the four fundamental interactions, gravity is dominant at cosmological length scales; that is, the other three forces are believed to play a negligible role in determining structures at the level of planets, stars, galaxies and larger-scale structures. The effects of the two nuclear interactions, the weak and strong nuclear forces, are mainly confined to sub-atomic length scales, because their strengths decrease very rapidly with distance. In principle, electromagnetism could be significant, being equally as long-ranged as gravity; however, the effects of positive and negative charges tend to cancel one another, leaving only a small residue. By contrast, all matter and energy gravitate, causing gravity's effects to be cumulative.

General relativity

Given gravity's predominance in shaping cosmological structures, accurate predictions of the universe's past and future require an accurate theory of gravitation. The best available theory is general relativity, which has passed all experimental tests hitherto. However, such experiments have not been carried out on cosmological length scales so, in principle, general relativity might be inaccurate. Nevertheless, its cosmological predictions appear to be consistent with observations, so there is no compelling reason to adopt another theory.

General relativity consists of a set of equations (the Einstein field equations) that must be solved from the distribution of mass-energy and momentum throughout the universe. Since these are unknown in exact detail, cosmological models have been based on the cosmological principle, which states that the universe is homogeneous and isotropic. In effect, the various galaxies making up the universe are replaced by a fine uniform dust distributed equally throughout the universe. Assuming the cosmological principle makes it easy to solve the Einstein equations and predict the past and future of the universe on cosmological time scales.

Special relativity and space-time

The universe has at least three spatial and one temporal (time) dimension. It was long thought that the spatial and temporal dimensions were different in nature and independent of one another. However, according to the theory of special relativity, spatial and temporal separations are interconvertible (within limits) by changing one's reference frame.

Only its length s is intrinsic to the rod (shown in black); the coordinate differences Δx, Δy, etc. depend on the frame of reference (in blue and red).

To understand this interconversion, it is helpful to consider the analogous interconversion of spatial separations along the three spatial dimensions. Consider the two endpoints of a rod of length l. The length can be determined from the differences in the three coordinates Δx, Δy and Δz of the two endpoints in a given reference frame

using the Pythagorean theorem. In a rotated reference frame, the coordinate differences will differ, although they naturally give the same length

Thus, the coordinates differences are not intrinsic to the rod, but reflect the reference frame used to describe it; by contrast, the length l is intrinsic. The coordinate differences can be changed freely without affecting the rod, merely by rotating one's reference frame.

The analogy in spacetime is called the interval between two events; an event is defined as a point in spacetime, a specific position in space and a specific moment in time. The spacetime interval between two events is given by

where c is the speed of light. Thus, by changing one's reference frame, one can change a spatial and time separation (l1, Δt1) into another (l2, Δt2), as long as the change maintains the spacetime interval s. Such a change in reference frame can be obtained by changing one's motion; a moving frame will measure different lengths and times from those measured in a stationary reference frame.

Solving Einstein's equations

In non-Cartesian (non-square) or curved coordinate systems, the Pythagorean theorem holds only on infinitesimal length scales and must be augmented with a more general metric tensor gμν, which can vary from place to place and which describes the local geometry in the particular coordinate system. However, assuming the cosmological principle, every point in space is like every other point; hence, the metric tensor must be the same everywhere. That leads to a single form for the metric tensor, called the Friedmann-Lemaître-Robertson-Walker metric

where (r, θ, φ) correspond to a spherical coordinate system. This metric has only two undetermined parameters: an overall length scale R that can vary with time, and a curvature index k that can be only zero, one or -1, corresponding to flat Euclidean geometry, or spaces of positive or negative curvature. In cosmology, solving for the history of the universe is done by calculating R as a function of time, given k and the value of the cosmological constant Λ, which is a (small) parameter in Einstein's field equations. The equation describing how R varies with time is known as the Friedmann equation, after its inventor, Alexander Friedmann.

The solutions for R(t) depend on k and Λ, but some qualitative features of such solutions are general. First and most importantly, the length scale R of the universe can remain constant only if the universe is perfectly isotropic with positive curvature (k=1) and has one precise value of density everywhere. Since this equilibrium is unstable and since the universe is known to be inhomogeneous on smaller scales, R must change, according to general relativity. When R changes, all the spatial distances in the universe change in tandem; there is an overall expansion or contraction of space itself. The accounts for the observation that galaxies appear to be flying apart; space is being created between them. The stretching of space also accounts for the apparent paradox that two galaxies can be 40 billion light years apart, although they started from the same point 13.7 billion years ago and never moved faster than the speed of light.

Second, all solutions suggest that there was a gravitational singularity in the past, when R goes to zero and matter and energy became infinitely dense. It may seem that this conclusion is uncertain since it seems based on the assumptions of homogeneity and isotropy (the cosmological principle) and that only the gravitational interaction matters. However, the Penrose-Hawking singularity theorems show that a singularity should exist for very general conditions. According to the equations, R should grow rapidly from an unimaginably hot, dense state that existed immediately following this singularity (when R had a small, finite value); this is the essence of the Big Bang model of the universe.

Third, the curvature index k determines the sign of the mean curvature of spacetime averaged over length scales greater than a billion light years. If k=1, the curvature is positive and the universe has a finite volume. Such universes are often visualized as a three-dimensional sphere S3 embedded in a four-dimensional space. Conversely, if k is zero or negative, the universe may have infinite volume, depending on its overall topology. It may seem counter-intuitive that an infinite and yet infinitely dense universe could be created in a single instant at the Big Bang when R=0, but that is indeed a possibility when k does not equal 1. For comparison, an infinite plane has zero curvature but infinite area, whereas an infinite cylinder is finite in one direction and a torus in finite in both. A toroidal universe could behave like a normal universe with periodic boundary conditions, as seen in some video games; a traveller crossing an outer "boundary" of space going outwards would reappear instantly at another point on the boundary moving inwards.

The ultimate fate of the universe is still unknown, since it depends critically on the curvature index k and the cosmological constant Λ. If the universe is sufficiently dense, k equals +1, meaning that its average curvature throughout is positive and the universe will eventually recollapse in a Big Crunch, possibly starting a new universe in a Big Bounce. Conversely, if the universe is insufficiently dense, k equals 0 or -1 and the universe will expand forever, cooling off and eventually becoming inhospitable for all life, as the stars die and all matter coalesces into black holes (the Big Freeze and the heat death of the universe). As noted above, recent data suggests that the expansion of the universe is not decreasing as originally expected, but accelerating; if this continues indefinitely, the universe will eventually rip itself to shreds (the Big Rip). Experimentally, the universe has an overall density that is very close to the critical value between recollapse and eternal expansion; more careful astronomical observations are needed to decide the question.

Prevailing Big Bang model

The prevailing Big Bang model accounts for many of the experimental observations described above, such as the correlation of distance and redshift of galaxies, the universal ratio of hydrogen:helium atoms, and the ubiquitous, isotropic microwave radiation background. As noted above, the redshift arises from the metric expansion of space; as the space itself expands, the wavelength of a photon traveling through space likewise increases, decreasing its energy. The longer a photon has been traveling, the more expansion it has undergone; hence, older photons from more distant galaxies are the most red-shifted. Determining the correlation between distance and redshift is an important problem in experimental physical cosmology.

Other experimental observations can be explained by combining the overall expansion of space with nuclear and atomic physics. As the universe expands, the energy density of the electromagnetic radiation decreases more quickly than does that of matter, since the energy of a photon decreases with its wavelength. Thus, although the energy density of the universe is now dominated by matter, it was once dominated by radiation; poetically speaking, all was light. As the universe expanded, its energy density decreased and it became cooler; as it did so, the elementary particles of matter could associate stably into ever larger combinations. Thus, in the early part of the matter-dominated era, stable protons and neutrons formed, which then associated into atomic nuclei. At this stage, the matter in the universe was mainly a hot, dense plasma of negative electrons, neutral neutrinos and positive nuclei. Nuclear reactions among the nuclei led to the present abundances of the lighter nuclei, particularly hydrogen, deuterium, and helium. Eventually, the electrons and nuclei combined to form stable atoms, which are transparent to most wavelengths of radiation; at this point, the radiation decoupled from the matter, forming the ubiquitous, isotropic background of microwave radiation observed today.

Other observations are not definitively answered by known physics. It is believed that the Universe was created with a slight imbalance of matter over antimatter, owing to the CP violation observed by particle physicists. The matter and antimatter mainly annihilated each other, producing the present matter-dominated universe. Several lines of evidence also suggest that a rapid cosmic inflation of the universe occurred very early in its history (roughly 10-35 seconds after its creation). Recent observations also suggest that the cosmological constant Λ is not zero and that the net mass-energy content of the universe is dominated by a hitherto mysterious dark energy and dark matter.

Alternative cosmologies

Despite its experimental verification, some scientists find the theory of general relativity implausible and have suggested alternatives. Such theories can only be considered scientific if they offer testable predictions that differ from those of general relativity. The main scientific alternative is the Brans-Dicke theory, which augments general relativity with a scalar field that determines the local value of the gravitational constant G. Other, more radical suggestions include the variable G cosmologies (in which the universe's physical constants vary with the age or size of the universe), the tired light hypothesis of Zwicky, and the plasma cosmology theory. The validity of most such theories seems unlikely, given the available data.

The steady-state theory of cosmology was popular in the 1950s; according to this theory, the universe has been the same at all times, as well as being homogeneous and isotropic (the perfect cosmological principle). This theory predicts that the conservation of energy is violated, albeit very slightly. This theory made admirably precise predictions, which have since been disproven by experimental observations.

Multiverse

Some speculative theories have proposed that this universe is but one of a set of disconnected universes, collectively denoted as the multiverse.[3][16] By definition, there is no possible way for anything in one universe to affect another; if two "universes" could affect one another, they would be part of a single universe. Thus, although some fictional characters travel between "parallel fictional "universes", this is a loose usage of the term "universe".

There are two scientific senses in which multiple can occur. First, disconnected spacetime continua may exist; presumably, all forms of matter and energy are confined to one universe and cannot "tunnel" between them. An example of such a theory is the chaotic inflation model of the early universe.[17] Second, according to the many-worlds hypothesis, a parallel universe is born with every quantum measurement; the universe "forks" into parallel copies, each one corresponding to a different outcome of the quantum measurement. Authors have explored this concept in some fiction, most notably Jorge Borges' short story The Garden of Forking Paths. However, both senses of the term "multiverse" are speculative and may be considered unscientific; the fact that universes cannot interact makes it impossible to test experimentally in this universe whether another universe exists.

See also

Notes and references

  1. ^ a b Feynman RP, Hibbs AR (1965). Quantum Physics and Path Integrals. New York: McGraw-Hill. ISBN 0-07-020650-3.
    Zinn Justin J (2004). Path Integrals in Quantum Mechanics. Oxford University Press. ISBN 0-19-856674-3.
  2. ^ a b "The Age of the Universe with New Accuracy". Retrieved 2006-12-29.
  3. ^ a b Ellis, George F.R. (2004). "Multiverses and physical cosmology". Monthly Notices of the Royal Astronomical Society. 347: 921–936. Retrieved 2007-01-09. {{cite journal}}: Unknown parameter |coauthors= ignored (|author= suggested) (help)
  4. ^ Lineweaver, Charles (2005). "Misconceptions about the Big Bang". Scientific American. Retrieved 2007-03-05. {{cite web}}: Unknown parameter |coauthors= ignored (|author= suggested) (help)
  5. ^ N. Mandolesi, P. Calzolari, S. Cortiglioni, F. Delpino, G. Sironi (1986). "Large-scale homogeneity of the Universe measured by the microwave background". Letters to Nature. 319: 751–753.{{cite journal}}: CS1 maint: multiple names: authors list (link)
  6. ^ Hinshaw, Gary (November 29, 2006). "New Three Year Results on the Oldest Light in the Universe". NASA WMAP. Retrieved 2006-08-10.
  7. ^ Hinshaw, Gary (December 15, 2005). "Tests of the Big Bang: The CMB". NASA WMAP. Retrieved 2007-01-09.
  8. ^ Hinshaw, Gary (February 10, 2006). "What is the Universe Made Of?". NASA WMAP. Retrieved 2007-01-04.
  9. ^ Britt RR (2003-01-03). "Age of Universe Revised, Again". space.com. Retrieved 2007-01-08. {{cite web}}: Check date values in: |date= (help)
  10. ^ Wright EL (2005). "Age of the Universe". UCLA. Retrieved 2007-01-08.
    Krauss LM, Chaboyer B (3 January 2003). "Age Estimates of Globular Clusters in the Milky Way: Constraints on Cosmology". Science. 299 (5603). American Association for the Advancement of Science: 65–69. Retrieved 2007-01-08. {{cite journal}}: Check date values in: |date= (help)
  11. ^ Wright, Edward L. (September 12, 2004). "Big Bang Nucleosynthesis". UCLA. Retrieved 2007-01-05.
    M. Harwit, M. Spaans (2003). "Chemical Composition of the Early Universe". The Astrophysical Journal. 589 (1): 53–57.
    C. Kobulnicky, E. D. Skillman (1997). "Chemical Composition of the Early Universe". Bulletin of the American Astronomical Society. 29: 1329.
  12. ^ "Antimatter". Particle Physics and Astronomy Research Council. October 28, 2003. Retrieved 2006-08-10.
  13. ^ http://map.gsfc.nasa.gov/m_mm/mr_content.html
  14. ^ Luminet, Jean-Pierre (1999). "Topology of the Universe: Theory and Observations". Proceedings of Cosmology School held at Cargese, Corsica, August 1998. Retrieved 2007-01-05. {{cite conference}}: Unknown parameter |booktitle= ignored (|book-title= suggested) (help); Unknown parameter |coauthors= ignored (|author= suggested) (help)
    Luminet, Jean-Pierre (2003). "Dodecahedral space topology as an explanation for weak wide-angle temperature correlations in the cosmic microwave background". Nature. 425: 593. Retrieved 2007-01-09. {{cite journal}}: Unknown parameter |coauthors= ignored (|author= suggested) (help)
  15. ^ Strobel, Nick (May 23, 2001). "The Composition of Stars". Astronomy Notes. Retrieved 2007-01-04.
    "Have physical constants changed with time?". Astrophysics (Astronomy Frequently Asked Questions). Retrieved 2007-01-04.
  16. ^ Munitz MK (1959). "One Universe or Many?". Journal of the History of Ideas. 12: 231–255.
  17. ^ Linde A (1986). "Eternal chaotic inflation". Mod. Phys. Lett. A1: 81.
    Linde A (1986). "Eternally existing self-reproducing chaotic inflationary universe". Phys. Lett. B175: 395–400.

Further reading

  • Rindberg W (1977). Essential Relativity: Special, General, and Cosmological. New York: Springer Verlag. pp. pp. 193–244. ISBN 0-387-10090-3. {{cite book}}: |pages= has extra text (help)
  • Weinberg S (1972). Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. New York: John Wiley and Sons. pp. pp. 407–633. ISBN 0-471-92567-5. {{cite book}}: |pages= has extra text (help)
  • Gal-Or, B (1983). Cosmology, Physics and Philosophy. New York: Springer Verlag. ISBN 978-0387905815.
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