Copernican principle

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In physical cosmology, the Copernican principle, named after Nicolaus Copernicus, is a working assumption that arises from a modified cosmological extension of Copernicus' heliocentric universe. Under the Copernican principle neither the Sun nor the Earth are in a central, specially favored position in the universe.[1] In some sense, it is equivalent to the mediocrity principle. More recently, the principle has been generalized to the relativistic concept that humans are not privileged observers of the universe.[2]

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 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 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] In the late 20th Century, Carl Sagan asked, "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 Earth. For instance, galaxies contain more young stars and are less clustered, and quasars appear more numerous. While this might suggest that 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.

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.

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, Earth was repeatedly shown not to have any special location in the universe. The Copernican Revolution dethroned 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.

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 are 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.[21] 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. doi:10.1093/mnras/108.3.252. 
  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. 
  10. ^ 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. 
  11. ^ 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. 
  12. ^ 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. 
  13. ^ Zhang, P.; Stebbins, A. (2011). "Confirmation of the Copernican principle through the anisotropic kinetic Sunyaev Zel'dovich effect". Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369 (1957): 5138. Bibcode:2011RSPTA.369.5138Z. doi:10.1098/rsta.2011.0294.  edit
  14. ^ 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. 
  15. ^ 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. 
  16. ^ 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. 
  17. ^ 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. 
  18. ^ 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. 
  19. ^ Planck Collaboration; Ade; Aghanim; Armitage-Caplan; Arnaud; Ashdown; Atrio-Barandela; Aumont; Baccigalupi (2013). "Planck 2013 results. XXIII. Isotropy and Statistics of the CMB". arXiv:1303.5083 [astro-ph.CO]. 
  20. ^ Longo (2007). "Does the Universe Have a Handedness?". arXiv:astro-ph/0703325 [astro-ph]. 
  21. ^ 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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