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What does the central limit theorem have to say about general relativity?

Réjean Plamondon

Paper (2019)

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Abstract

In this paper, we speculate on a possible connection between the Bayes’s law and the Einstein’s general relativity equation to support the use of a metric based on an erfc gravitational potential that has been recently proposed to provide some cues to open problems in the solar systems. Starting from a basic interdependence premise, an analogy between Einstein’s equation and Bayes’s law is used to analyze the linear case of a weak field static symmetric massive object, providing a probabilistic context that takes into account the probability of presence of a given energy density in its corresponding 4D curved space-time manifold. Using the Central Limit Theorem to model globally the very slow process of star formation and mathematically express the corresponding probability density, the new framework provides a rationale for the emergence of a weighted Newton’s law of gravitation. One key feature of this modified gravity model is that it relies on the existence of an intrinsic emergent physical constant σ, a star-specific proper length that scales all its surroundings.

Uncontrolled Keywords

Modified gravity; Weighted Newton’s law; Central limit theorem; Bayes’s law; Star proper length; erfc potential; Emergence; Self-organization

Subjects: 3100 Physics > 3100 Physics
Department: Department of Electrical Engineering
Funders: CRSNG/NSERC, Département de génie électrique, Polytechnique Montréal
PolyPublie URL: https://publications.polymtl.ca/10588/
Conference Title: 11th Symposium Quantum Theory and Symmetries (QTS-XI)
Conference Location: Montréal, Québec
Conference Date(s): 2019-07-01 - 2019-07-05
Editors: M. B. Paranjape, Richard MacKenzie, Zora Thomova, Pavel Winternitz and William Witczak-Krempa
Publisher: Springer
DOI: 10.1007/978-3-030-55777-5_47
Official URL: https://doi.org/10.1007/978-3-030-55777-5_47
Date Deposited: 23 Nov 2022 11:29
Last Modified: 09 Apr 2024 01:06
Cite in APA 7: Plamondon, R. (2019, July). What does the central limit theorem have to say about general relativity? [Paper]. 11th Symposium Quantum Theory and Symmetries (QTS-XI), Montréal, Québec. https://doi.org/10.1007/978-3-030-55777-5_47

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