Copernican principle

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In physical cosmology, the Copernican principle, named after Nicolaus Copernicus, states that the Earth is not in a central, specially favored position in the universe.[1] More recently, the principle has been generalized to the relativistic concept that humans are not privileged observers of the universe.[2] In this sense, it is equivalent to the mediocrity principle, with important implications for the philosophy of science.

Since the 1990s the term has been used (interchangeably with "the Copernicus method") for J. Richard Gott's Bayesian-inference-based prediction of duration of ongoing events, a generalized version of the Doomsday argument.

Origin and implications[edit]

Michael Rowan-Robinson emphasizes the Copernican principle as the threshold test for modern thought, asserting that: "It is evident that in the post-Copernican era of human history, no well-informed and rational person can imagine that the Earth occupies a unique position in the universe."[3]

Hermann Bondi named the principle after Copernicus in the mid-20th century, although the principle itself dates back to the 16th-17th century paradigm shift away from the Ptolemaic system, which placed Earth at the center of the universe. Copernicus proposed that the motion of the planets can be explained by reference to an assumption that the Sun and not the Earth is centrally located and stationary. He argued that the apparent retrograde motion of the planets is an illusion caused by Earth's movement around the Sun, which the Copernican model placed at the centre of the universe. Copernicus himself was mainly motivated by technical dissatisfaction with the earlier system and not by support for any mediocrity principle.[4] In fact, although the Copernican heliocentric model is often described as "demoting" Earth from its central role it had in the Ptolemaic geocentric model, neither Copernicus nor other 15th- and 16th-century scientists and philosophers viewed it as such.[5][6] It wasn't until the late 20th Century that Carl Sagan could claim "Who are we? We find that we live on an insignificant planet of a humdrum star lost in a galaxy tucked away in some forgotten corner of a universe in which there are far more galaxies than people.".[7]

In cosmology, if one assumes the Copernican principle and observes that the universe appears isotropic or the same in all directions from our vantage-point on Earth, then one can infer that the universe is generally homogeneous or the same everywhere (at any given time) and is also isotropic about any given point. These two conditions make up the cosmological principle.[3] In practice, astronomers observe that the universe has heterogeneous or non-uniform structures up to the scale of galactic superclusters, filaments and great voids. It becomes more and more homogeneous and isotropic when observed on larger and larger scales, with little detectable structure on scales of more than about 200 million parsecs. However, on scales comparable to the radius of the observable universe, we see systematic changes with distance from the Earth. For instance, galaxies contain more young stars and are less clustered, and quasars appear more numerous. While this might suggest that the Earth is at the center of the universe, the Copernican principle requires us to interpret it as evidence for the evolution of the universe with time: this distant light has taken most of the age of the universe to reach and shows us the universe when it was young. The most distant light of all, cosmic microwave background radiation, is isotropic to at least one part in a thousand.

Modern mathematical cosmology is based on the assumption that the Cosmological principle is almost, but not exactly, true on the largest scales. The Copernican principle represents the irreducible philosophical assumption needed to justify this, when combined with the observations.

Bondi and Thomas Gold used the Copernican principle to argue for the perfect cosmological principle which maintains that the universe is also homogeneous in time, and is the basis for the steady-state cosmology.[8] However, this strongly conflicts with the evidence for cosmological evolution mentioned earlier: the universe has progressed from extremely different conditions at the Big Bang, and will continue to progress toward extremely different conditions, particularly under the rising influence of dark energy, apparently toward the Big Freeze or Big Rip.

Tests of the principle[edit]

The Copernican principle has never been proven, and in the most general sense cannot be proven, but it is implicit in many modern theories of physics. Cosmological models are often derived with reference to the Cosmological principle, slightly more general than the Copernican principle, and many tests of these models can be considered tests of the Copernican principle.[9]

Historical[edit]

Before the term Copernican principle was even coined, the Earth was repeatedly shown not to have any special location in the universe. The Copernican Revolution dethroned the Earth to just one of many planets orbiting the sun. William Herschel found that the solar system is moving through space within our disk-shaped Milky Way galaxy. Edwin Hubble showed that our galaxy is just one of many galaxies in the universe. Examination of our galaxy's position and motion in the universe led to the Big Bang theory and the whole of modern cosmology.

Michelson-Morley and Relativity[edit]

The Michelson-Morley experiments to measure the Earth's motion through the Luminiferous aether provided further indirect proof that the Earth had no special position, although early interpretations implying a complete lack of motion in the ether would have dis-proven the principle. The final interpretations of the result in terms of the electromagnetic nature of light, Lorentz invariance, and ultimately the general and special theories of relativity, contained no contradictions of the Copernican principle although still no strong proof.

Ecliptic alignment of cosmic microwave background anisotropy[edit]

The Cosmic Microwave Background (CMB) radiation signature presents a direct large-scale view of the universe that can be used to identify whether our position or movement has any particular significance. There has been much publicity about analysis of results from the Wilkinson Microwave Anisotropy Probe (WMAP) and Planck mission that show both expected and unexpected anisotropies in the CMB.[10]

Some anomalies in the background radiation have been reported which are aligned with the plane of the solar system, which contradicts the Copernican principle by suggesting that the solar system's alignment is special.[11] Land and Magueijo dubbed this alignment the "axis of evil" owing to the implications for current models of the cosmos,[12] although several later studies have shown systematic errors in the collection of that data and the way it is processed.[13][14][15] Various studies of the CMB anisotropy data either confirm the Copernican principle,[16] model the alignments in a non-homogeneous universe still consistent with the principle,[17] or attempt to explain them as local phenomena.[18] Some of these alternate explanations were discussed by Copi, et al., who claimed that data from the Planck satellite could shed significant light on whether the preferred direction and alignments were spurious.[19][20]

Coincidence is a possible explanation, chief scientist from WMAP, Charles L. Bennett suggested coincidence and human psychology were involved, "I do think there is a bit of a psychological effect, people want to find unusual things." [21]

Modern tests[edit]

Recent and planned tests relevant to the cosmological and copernican principles include:

Physics without the principle[edit]

The standard model of cosmology, the Lambda-CDM model, assumes the Copernican principle and the more general Cosmological principle and observations are largely consistent but there always unsolved problems. Some cosmologists and theoretical physicists design models lacking the Cosmological or Copernican principles, to constrain the valid values of observational results, to address specific known issues, and to propose tests to distinguish between current models and other possible models.

A prominent example in this context is the observed accelerating universe and the cosmological constant issue. An alternative proposal to dark energy is that the universe is much more inhomogeneous than currently assumed, and specifically that we are in an extremely large low-density void.[32] To match observations we would have to be very close to the centre of this void, immediately contradicting the Copernican principle.

See also[edit]

References[edit]

  1. ^ Bondi, Hermann (1952). Cosmology. Cambridge University Press. p. 13. 
  2. ^ Peacock, John A. (1998). Cosmological Physics. Cambridge University Press. p. 66. ISBN 0-521-42270-1. 
  3. ^ a b Rowan-Robinson, Michael (1996). Cosmology (3rd ed.). Oxford University Press. pp. 62–63. ISBN 978-0-19-851884-6. 
  4. ^ Kuhn, Thomas S. (1957). The Copernican Revolution: Planetary Astronomy in the Development of Western Thought. Harvard University Press. ISBN 978-0-674-17103-9. 
  5. ^ Musser, George (2001). "Copernican Counterrevolution". Scientific American 284 (3): 24. doi:10.1038/scientificamerican0301-24a. 
  6. ^ Danielson, Dennis (2009). "The Bones of Copernicus". American Scientist 97 (1): 50–57. doi:10.1511/2009.76.50. 
  7. ^ Sagan C, Cosmos (1980) p.193
  8. ^ Bondi, H.; Gold, T. (1948). "The Steady-State Theory of the Expanding Universe". Monthly Notices of the Royal Astronomical Society 108 (3): 252–270. Bibcode:1948MNRAS.108..252B. 
  9. ^ Clarkson, C.; Bassett, B.; Lu, T. (2008). "A General Test of the Copernican Principle". Physical Review Letters 101. arXiv:0712.3457. Bibcode:2008PhRvL.101a1301C. doi:10.1103/PhysRevLett.101.011301.  edit
  10. ^ Anthony Challinor (2012). "CMB anisotropy science: A review". arXiv:1210.6008v1 [astro-ph.CO].
  11. ^ Mariano, A.; Perivolaropoulos, L. (2013). "CMB maximum temperature asymmetry axis: Alignment with other cosmic asymmetries". Physical Review D 87 (4). arXiv:1211.5915. Bibcode:2013PhRvD..87d3511M. doi:10.1103/PhysRevD.87.043511.  edit
  12. ^ Land, Kate; João Magueijo, João (2005). "Examination of Evidence for a Preferred Axis in the Cosmic Radiation Anisotropy". Physical Review Letters 95 (7). arXiv:astro-ph/0502237. Bibcode:2005PhRvL..95g1301L. doi:10.1103/PhysRevLett.95.071301. 
  13. ^ Liu, Hao; Li, Ti-Pei (2009). "Improved CMB Map from WMAP Data". arXiv:0907.2731v3 [astro-ph].
  14. ^ Sawangwit, Utane; Shanks, Tom (2010). "Lambda-CDM and the WMAP Power Spectrum Beam Profile Sensitivity". arXiv:1006.1270v1 [astro-ph].
  15. ^ Liu, Hao; et al. (2010). "Diagnosing Timing Error in WMAP Data". arXiv:1009.2701v1 [astro-ph].
  16. ^ a b Zhang, P.; Stebbins, A. (2011). "Confirmation of the Copernican Principle at Gpc Radial Scale and above from the Kinetic Sunyaev-Zel'dovich Effect Power Spectrum". Physical Review Letters 107 (4). arXiv:1009.3967. Bibcode:2011PhRvL.107d1301Z. doi:10.1103/PhysRevLett.107.041301.  edit
  17. ^ Buckley, R. G.; Schlegel, E. M. (2013). "CMB dipoles and other low-order multipoles in the quasispherical Szekeres model". Physical Review D 87 (2). Bibcode:2013PhRvD..87b3524B. doi:10.1103/PhysRevD.87.023524.  edit
  18. ^ Hansen, M.; Kim, J.; Frejsel, A. M.; Ramazanov, S.; Naselsky, P.; Zhao, W.; Burigana, C. (2012). "Can residuals of the solar system foreground explain low multipole anomalies of the CMB?". Journal of Cosmology and Astroparticle Physics 2012 (10): 059. arXiv:1206.6981. Bibcode:2012JCAP...10..059H. doi:10.1088/1475-7516/2012/10/059.  edit
  19. ^ Large-angle anomalies in the CMB
  20. ^ The Uncorrelated Universe: Statistical Anisotropy and the Vanishing Angular Correlation Function in WMAP Years 1-3
  21. ^ Found: Hawking's initials written into the universe
  22. ^ Uzan, J. P.; Clarkson, C.; Ellis, G. (2008). "Time Drift of Cosmological Redshifts as a Test of the Copernican Principle". Physical Review Letters 100 (19). arXiv:0801.0068. Bibcode:2008PhRvL.100s1303U. doi:10.1103/PhysRevLett.100.191303.  edit
  23. ^ Caldwell, R.; Stebbins, A. (2008). "A Test of the Copernican Principle". Physical Review Letters 100 (19). arXiv:0711.3459. Bibcode:2008PhRvL.100s1302C. doi:10.1103/PhysRevLett.100.191302.  edit
  24. ^ Clifton, T.; Ferreira, P.; Land, K. (2008). "Living in a Void: Testing the Copernican Principle with Distant Supernovae". Physical Review Letters 101 (13). arXiv:0807.1443. Bibcode:2008PhRvL.101m1302C. doi:10.1103/PhysRevLett.101.131302.  edit
  25. ^ Jia, J.; Zhang, H. (2008). "Can the Copernican principle be tested using the cosmic neutrino background?". Journal of Cosmology and Astroparticle Physics 2008 (12): 002. arXiv:0809.2597. Bibcode:2008JCAP...12..002J. doi:10.1088/1475-7516/2008/12/002.  edit
  26. ^ Tomita, K.; Inoue, K. (2009). "Probing violation of the Copernican principle via the integrated Sachs-Wolfe effect". Physical Review D 79 (10). arXiv:0903.1541. Bibcode:2009PhRvD..79j3505T. doi:10.1103/PhysRevD.79.103505.  edit
  27. ^ Clifton, T.; Clarkson, C.; Bull, P. (2012). "Isotropic Blackbody Cosmic Microwave Background Radiation as Evidence for a Homogeneous Universe". Physical Review Letters 109 (5). arXiv:1111.3794. Bibcode:2012PhRvL.109e1303C. doi:10.1103/PhysRevLett.109.051303.  edit
  28. ^ Kim, J.; Naselsky, P. (2011). "Lack of Angular Correlation and Odd-Parity Preference in Cosmic Microwave Background Data". The Astrophysical Journal 739 (2): 79. arXiv:1011.0377. Bibcode:2011ApJ...739...79K. doi:10.1088/0004-637X/739/2/79.  edit
  29. ^ Copi, C. J.; Huterer, D.; Schwarz, D. J.; Starkman, G. D. (2010). "Large-Angle Anomalies in the CMB". Advances in Astronomy 2010: 1. arXiv:1004.5602. Bibcode:2010AdAst2010E..92C. doi:10.1155/2010/847541.  edit
  30. ^ Planck Collaboration; Ade; Aghanim; Armitage-Caplan; Arnaud; Ashdown; Atrio-Barandela; Aumont et al. (2013). "Planck 2013 results. XXIII. Isotropy and Statistics of the CMB". arXiv:1303.5083 [astro-ph.CO].
  31. ^ Longo (2007). "Does the Universe Have a Handedness?". arXiv:astro-ph/0703325 [astro-ph].
  32. ^ February, S.; Larena, J.; Smith, M.; Clarkson, C. (2010). "Rendering dark energy void". Monthly Notices of the Royal Astronomical Society: no. arXiv:0909.1479. Bibcode:2010MNRAS.405.2231F. doi:10.1111/j.1365-2966.2010.16627.x.  edit

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