Abstract
According to modern physics, space-time originally was of dimension 11 or higher, but then additional dimensions became compactified, i.e., size in these directions remains small and thus, not observable. As a result, at present, we only observed 4 dimensions of space-time. There are mechanisms that explain how compactification may have occurred, but the remaining question is why it occurred. In this paper, we provide two first-principles-based explanations for space-time compactification: based on Second Law of Thermodynamics and based on geometry and symmetries.
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References
Fairall, A.: Large-Scale Structures in the Universe. Wiley, New York (1998)
Feynman, R., Leighton, R., Sands, M.: The Feynman Lectures on Physics. Addison Wesley, Boston (2005)
Finkelstein, A., Kosheleva, O., Kreinovich, V.: Astrogeometry: towards mathematical foundations. Int. J. Theor. Phys. 36(4), 1009ā1020 (1997)
Finkelstein, A., Kosheleva, O., Kreinovich, V.: Astrogeometry: geometry explains shapes of celestial bodies. Geombinatorics VI(4), 125ā139 (1997)
Green, M.B., Schwarz, J.H., Witten, E.: Superstring Theory, vols. 1, 2. Cambridge University Press, Cambridge (1988)
Jaynes, E.T., Bretthorst, G.L.: Probability Theory: The Logic of Science. Cambridge University Press, Cambridge, UK (2003)
Kreinovich, V.: Dimension compactification ā a possible explanation for superclusters and for empirical evidence usually interpreted as dark matter. In: Ceberio, M., Kreinovich, V. (eds.), How Uncertainty-Related Ideas Can Provide Theoretical Explanation for Empirical Dependencies. Springer, Cham, Switzerland, to appear
Li, S., Ogura, Y., Kreinovich, V.: Limit Theorems and Applications of Set Valued and Fuzzy Valued Random Variables. Kluwer Academic Publishers, Dordrecht (2002)
Polchinski, J.: String Theory, vols. 1, 2. Cambridge University Press, Cambridge (1998)
Sheskin, D.J.: Handbook of Parametric and Nonparametric Statistical Procedures. Chapman & Hall/CRC, Boca Raton (2011)
Thorne, K.S., Blandford, R.D.: Modern Classical Physics: Optics, Fluids, Plasmas, Elasticity, Relativity, and Statistical Physics. Princeton University Press, Princeton (2017)
Acknowledgements
This work was supported in part by the National Science Foundation grants 1623190 (A Model of Change for Preparing a New Generation for Professional Practice in Computer Science), and HRD-1834620 and HRD-2034030 (CAHSI Includes). It was also supported by the program of the development of the Scientific-Educational Mathematical Center of Volga Federal District No. 075-02-2020-1478.
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Urenda, J.C., Kosheleva, O., Kreinovich, V. (2023). Dimension Compactification Naturally Follows from First Principles. In: Ceberio, M., Kreinovich, V. (eds) Decision Making Under Uncertainty and Constraints. Studies in Systems, Decision and Control, vol 217. Springer, Cham. https://doi.org/10.1007/978-3-031-16415-6_22
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DOI: https://doi.org/10.1007/978-3-031-16415-6_22
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