How Unsatisfactory Is the Postulation of Low Entropy in the Early Universe?
DOI:
https://doi.org/10.35588/cc.v7d8361Keywords:
Past Hypothesis, entropy, second lawAbstract
This article examines the Past Hypothesis (PH), understood as the postulate that the universe began in an initial state of extremely low entropy, a condition usually regarded as necessary to ground the statistical explanation of the second law of thermodynamics. It is argued that, although the PH plays a formal role in the statistical explanation of the second law, its mere postulation carries a significant epistemic cost, since it introduces as an initial condition precisely a state that the statistical framework itself characterizes as extraordinarily atypical. Without an adequate explanation of this condition, the scientific worldview remains incomplete, since a satisfactory grounding of the second law would remain pending, together with an account of the arrow of time and the irreversibility of physical processes.
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References
Albert, D. Z. (2000). Time and Chance. Harvard University Press.
Allori, V. (2020). Some reflections on the statistical postulate: Typicality, probability and explanation between deterministic and indeterministic theories. In Allori, V., editor, Statistical Mechanics and Scientific Explanation: Determinism, Indeterminism and Laws of Nature, pages 65–111. World Scientific, Singapore.
Atkins, P. (2007). Four Laws That Drive the Universe. Oxford University Press.
Atkins, P. y de Paula, J. (2014). Atkins’ Physical Chemistry. Oxford University Press.
Bain, J. (2019). Why be natural? Foundations of Physics, 49(9):898–914.
Barbour, J., Koslowski, T., y Mercati, F. (2014). Identification of a gravitational arrow of time. Physical Review Letters, 113(181101).
Boltzmann, L. (1877). Über die beziehung dem zweiten hauptsatze der mechanischen wärmetheorie und der wahrscheinlichkeitsrechnung respektive den sätzen über das wärmegleichgewicht. Wiener Berichte, 76:373–435.
Callender, C. (2004). Measures, explanations and the past: Should ‘special’ initial conditions be explained? British Journal for the Philosophy of Science, 55(2):195–217.
Callender, C. (2011). Hot and heavy matters in the foundations of statistical mechanics. Foundations of Physics, 41(6):960–981.
Carroll, S. (2010). From Eternity to Here: The Quest for the Ultimate Theory of Time. Dutton.
Carroll, S. (2017). The Big Picture: On the Origins of Life, Meaning, and the Universe Itself. Penguin.
Carroll, S. M. y Chen, J. (2004). Spontaneous inflation and the origin of the arrow of time. Preprint. arXiv:hep-th/0410270.
Chalmers, D. J. (2018). Structuralism as a response to skepticism. The Journal of Philosophy, 115(12):625–660.
Chen, E. K. (2021). Quantum mechanics in a time-asymmetric universe: On the nature of the initial quantum state. British Journal for the Philosophy of Science, 72(4):1155–1183.
Davies, E. B. (1974). Markovian master equations. Communications in Mathematical Physics, 39(2):91–110.
Dogramaci, S. (2020). Does my total evidence support that i’m a boltzmann brain? Philosophical Studies, 177(12):3717–3723.
Dougherty, J. y Callender, C. (2016). Black hole thermodynamics: More than an analogy? Manuscript.
Earman, J. (2006). The “past hypothesis”: Not even false. Studies in History and Philosophy of Science Part B, 37(3):399–430.
Filomeno, A. (2019). Stable regularities without governing laws? Studies in History and Philosophy of Modern Physics, 66:186–197.
Filomeno, A. (2021). Are non-accidental regularities a cosmic coincidence? revisiting a central threat to humean laws. Synthese, pages 1–32.
Filomeno, A. (2023). Typicality of dynamics and the laws of nature. In Current Debates in Philosophy of Science: In Honor of Roberto Torretti, Synthese Library. Springer.
Frigg, R. y Werndl, C. (2023). Philosophy of statistical mechanics. The Stanford Encyclopedia of Philosophy. Summer 2023 Edition.
Hemmo, M. y Shenker, O. (2012). The Road to Maxwell’s Demon: Conceptual Foundations of Statistical Mechanics. Cambridge University Press.
Hossenfelder, S. (2018). Lost in Math: How Beauty Leads Physics Astray. Basic Books.
Mackey, M. C. (1992). Time’s Arrow: The Origins of Thermodynamic Behavior. Springer-Verlag.
McCoy, C. D. (2018). The implementation, interpretation, and justification of likelihoods in cosmology. Studies in History and Philosophy of Modern Physics, 62:19–35.
Mosterín, J. (2004). Anthropic explanations in cosmology. In Hajek, V. y Westerstahl, D., editors, 12th International Congress of Logic, Methodology and Philosophy of Science. North-Holland Publishing, Amsterdam.
Norton, J. D. (2018). Eternal inflation: When probabilities fail. Synthese. Special issue “Reasoning in Physics”.
Penrose, R. (1980). Singularities and time asymmetry. In Hawking, S. W. y Israel, W., editors, General Relativity: An Einstein Centenary Survey, pages 581–638. Cambridge University Press.
Penrose, R. (1989a). Difficulties with inflationary cosmology. Annals of the New York Academy of Sciences, 571:249–264.
Penrose, R. (1989b). The Emperor’s New Mind: Concerning Computers, Minds, and the Laws of Physics. Oxford University Press.
Penrose, R. (2003). Cycles of Time. Knopf.
Price, H. (1996). Time’s Arrow and Archimedes’ Point: New Directions for the Physics of Time. Oxford University Press.
Reif, F. (1965). Berkeley Physics Course: Statistical Physics. McGraw-Hill.
Richter, B. (2006). Theory in particle physics: Theological speculation versus practical knowledge. Physics Today, 59(10):8–9.
Sklar, L. (1993). Physics and Chance: Philosophical Issues in the Foundations of Statistical Mechanics. Cambridge University Press.
Sklar, L. (2015). Philosophy of statistical mechanics. https://plato.stanford.edu/archives/win2015/entries/statphys-statmech/. Winter 2015 Edition, The Stanford Encyclopedia of Philosophy.
Smeenk, C. y Ellis, G. (2017). Philosophy of cosmology. https://plato.stanford.edu/archives/win2017/entries/cosmology/. Winter 2017 Edition, The Stanford Encyclopedia of Philosophy.
Streater, R. F. (1995). Statistical Dynamics: A Stochastic Approach to Nonequilibrium Thermodynamics. Imperial College Press. https://books.google.cl/books?id=e7IvvgAACAAJ.
Strevens, M. (2008). Depth: An Account of Scientific Explanation. Harvard University Press.
Uffink, J. (2009). Irreversibility in stochastic dynamics. In Ernst, G. y Hüttemann, A., editors, Time, Chance and Reduction: Philosophical Aspects of Statistical Mechanics, pages 180–207. Cambridge University Press.
van Fraassen, B. C. (1989). Laws and Symmetry. Oxford University Press.
van Kampen, N. G. (2011). Stochastic Processes in Physics and Chemistry. Elsevier.
Wallace, D. (2011). Gravity, entropy, and cosmology: In search of clarity. British Journal for the Philosophy of Science, 61(3):513–540.
Wells, J. D. (2019). Naturalness, extra-empirical theory assessments, and the implications of skepticism. Foundations of Physics, 49(9):991–1010.
Wheeler, G. (2007). A review of the lottery paradox. In Harper, W. y Wheeler, G., editors, Probability and Inference: Essays in Honour of Henry E. Kyburg, Jr. College Publications.
Williams, P. (2015). Naturalness, the autonomy of scales, and the 125 gev higgs. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 51:82–96.
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2026-10-31Published
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