Abstract
Cosmology – the study of the origin and evolution of the universe itself – is a unique science because the universe provides the setting and context for all the other sciences. It has made incredible strides in the past century, and particularly in the past two decades, as physical understanding has developed and as vast amounts of new data has come in. We understand the basic evolution of the universe from extremely early times to the present day, as well as the way large scale structures formed in the universe (Dodelson S, Modern Cosmology, Academic, San Diego, 2003; Peter P, Uzan J-P, Primordial cosmology Oxford University Press, Oxford, 2009. However (and partly as a consequence of all this new data) we are inevitably running into a series of limits due to the nature of the subject. This chapter will look at some of these fundamental problems for cosmology, and consider some fundamental issues relating to the nature of the topic (For a discussion of cosmological issues from a philosophical viewpoint, raising many of the issues considered here in the context of the relevant physical theory, see Ellis (Issues in the philosophy of cosmology. In: Butterfield J, Earman J (eds) Handbook in philosophy of physics. Elsevier, Amsterdam, 2006, pp. 1183–1285, http://arxiv.org/abs/astro-ph/0602280).
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- 1.
It has also been suggested this might be true for the speed of light c; but the value assigned to this quantity depends on the dimensional units used, and can always be set to unity by appropriate choice of units (measure distance in light years). Thus this is not a good physical proposal [18]. We will of course be in very deep trouble if unity (the quantity represented by the number “1”) ever starts varying with time!
- 2.
Examples are Astrology and Intelligent Design.
- 3.
This lies inside the particle horizon, which is the causal horizon for all physical effects since the start of the universe.
- 4.
In a sensible time horizon for science: say in the next 25,000 years.
- 5.
The claim that this infinity necessarily follows from the physics of the situation is not true, even if we accept the unproven underlying physical process: for in reality the situation is that if the inflationary parameters are chosen so that eternal inflation occurs, the implied infinity is an asymptotic state that is never reached in a finite time [17].
- 6.
Some deny that mental events have causal powers. However the fact that this book exists as a physical object is a disproof of that hypothesis.
References
Y.V. Balashov, Resource Letter Ap-1: the anthropic principle. Am. J. Phys. 54, 1069–1076
J.D. Barrow, The Constants of Nature: From Alpha to Omega– the Numbers That Encode the Deepest Secrets of the Universe (Vintage Books, London, 2004)
J.D. Barrow, F. Tipler, The Cosmological Anthropic Principle. (Oxford University Press, Oxford, 1984)
B. Carr (ed.), Universe or Multiverse? (Cambridge University Press, Cambridge, 2007)
S. Carroll, From Eternity to Here: The Quest for the Ultimate Theory of Time (Dutton, New York, 2010)
P.C.W. Davies, The Physics of Time Asymmetry (Surrey University Press, London, 1974)
P.A.M. Dirac, The cosmological constants. Nature 139, 323 (1937)
P.A.M. Dirac, New basis for cosmology. Proc. R. Soc. A165, 199–208 (1938)
S. Dodelson, Modern Cosmology (Academic, San Diego, 2003)
G.F.R. Ellis, Cosmology and local physics. New Astron. Rev. 46, 645–658 (2002), http://arxiv.org/abs/gr-qc/0102017
G.F.R. Ellis, True complexity and its associated ontology, in Science and Ultimate Reality: Quantum Theory, Cosmology and Complexity, ed. by J.D. Barrow, P.C.W. Davies, C.L. Harper Jr (Cambridge University Press, Cambridge, 2004)
G.F.R. Ellis, Issues in the Philosophy of Cosmology, ed. by J. Butterfield, J. Earman. Handbook in Philosophy of Physics (Elsevier, Amsterdam, 2006), pp. 1183–1285, http://arxiv.org/abs/astro-ph/0602280)
G.F.R. Ellis, M. Madsen, Exact scalar field cosmologies. Classical Quant. Grav. 8, 667–676 (1991)
G.F.R. Ellis, G. Schreiber, Observational and dynamic properties of small universes. Phys. Lett. A115, 97–107 (1986)
G.F.R. Ellis, D.W. Sciama, Global and non-global problems in cosmology, in General Relativity, ed. by L. O’Raifeartaigh (Oxford University Press, Oxford, 1972), pp. 35–59
G.F.R. Ellis, W.R. Stoeger, Horizons in inflationary universes. Class Q. Grav. 5, 207 (1988)
G.F.R. Ellis, W.R. Stoeger, A note on infinities in eternal inflation. GRG J. 41, 1475–1484 (2009), arXiv:1001.4590
G.F.R. Ellis, J-P. Uzan, ‘c’ is the speed of light, isn’t it? Am. J. Phys. 73, 240–247 (2005), http://arxiv.org/abs/gr-qc/0305099
J. Garriga, A. Vilenkin, Many worlds in one. Phys. Rev. D64, 043511 (2001), arXiv:gr-qc/0102010
A. Guth, Eternal inflation and its implications. J. Phys. A40, 6811–6826 (2007), arXiv:hep-th/0702178
M. Heller, Ultimate Explanations of the Universe (Springer, Berlin/Heidelberg, 2009)
D. Hilbert, On the infinite, in Philosophy of Mathematics, ed. by P. Benacerraf, H. Putnam (Prentice Hall, Englewood, 1964), pp. 134–151
R. Penrose, The Emperor’s New Mind (Oxford University Press, Oxford, 1989)
R. Penrose, The Road to Reality (Jonathan Cape, London, 2004)
M. Peskin, D. Schroeder, An Introduction to Quantum Field Theory(Westview Press, New York, 1995)
P. Peter, J.-P. Uzan, Primordial Cosmology (Oxford University Press, Oxford, 2009)
M.J. Rees, Just Six Numbers: The Deep Forces that Shape the Universe (Weidenfeld and Nicholson, London, 1999)
M.J. Rees, Our Cosmic Habitat (Princeton, Oxford, 2003)
T. Rothman, G.F.R. Ellis, Smolin’s natural selection hypothesis. Q. J. R. Astron. Soc. 34, 201–212 (1992)
L. Smolin, Did the universe evolve? Class Q. Grav. 9, 173–191 (1992)
C.P. Snow, The Two Cultures, 2nd edn. (1993 reissue) (University Press, Cambridge, 1960)
M. Tegmark, Is ‘the theory of everything’ merely the ultimate ensemble theory? Ann. Phys. (N.Y.) 270, 1–51 (1998)
J.-P. Uzan, The fundamental constants and their variation: observational and theoretical status. Rev. Mod. Phys. 75, 403–455 (2003)
J.-P. Uzan, B. Leclercq, The Natural Laws of Nature (Praxis, Chichester, 2008)
H.D. Zeh, The Physical Basis of the Direction of Time (Springer Verlag, Berlin, 1992)
Acknowledgments
I thank Jean-Philippe Uzan for helpful comments.
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Ellis, G.F.R. (2011). Fundamental Issues and Problems of Cosmology. In: Lasota, JP. (eds) Astronomy at the Frontiers of Science. Integrated Science & Technology Program, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1658-2_18
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