PreprintArticleVersion 1Preserved in Portico This version is not peer-reviewed
Theory of the Generalization of the Boltzmann’s Constant in Curved Space-Time. Shannon-Boltzmann Gibbs Entropy Relation and the Effective Boltzmann’s Constant
Version 1
: Received: 4 September 2023 / Approved: 5 September 2023 / Online: 6 September 2023 (03:24:43 CEST)
How to cite:
Flores, H.G.; Gonçalvez de Souza, M.I. Theory of the Generalization of the Boltzmann’s Constant in Curved Space-Time. Shannon-Boltzmann Gibbs Entropy Relation and the Effective Boltzmann’s Constant. Preprints2023, 2023090301. https://doi.org/10.20944/preprints202309.0301.v1
Flores, H.G.; Gonçalvez de Souza, M.I. Theory of the Generalization of the Boltzmann’s Constant in Curved Space-Time. Shannon-Boltzmann Gibbs Entropy Relation and the Effective Boltzmann’s Constant. Preprints 2023, 2023090301. https://doi.org/10.20944/preprints202309.0301.v1
Flores, H.G.; Gonçalvez de Souza, M.I. Theory of the Generalization of the Boltzmann’s Constant in Curved Space-Time. Shannon-Boltzmann Gibbs Entropy Relation and the Effective Boltzmann’s Constant. Preprints2023, 2023090301. https://doi.org/10.20944/preprints202309.0301.v1
APA Style
Flores, H.G., & Gonçalvez de Souza, M.I. (2023). Theory of the Generalization of the Boltzmann’s Constant in Curved Space-Time. Shannon-Boltzmann Gibbs Entropy Relation and the Effective Boltzmann’s Constant. Preprints. https://doi.org/10.20944/preprints202309.0301.v1
Chicago/Turabian Style
Flores, H.G. and Maria Isabel Gonçalvez de Souza. 2023 "Theory of the Generalization of the Boltzmann’s Constant in Curved Space-Time. Shannon-Boltzmann Gibbs Entropy Relation and the Effective Boltzmann’s Constant" Preprints. https://doi.org/10.20944/preprints202309.0301.v1
Abstract
Here we will model the curvature and contraction of space-time using as a basis the equation of state of an ideal gas and the Hawking´s equation for the temperature of a black hole. We will use this mathematical model to hypothesize that the Boltzmann´s constant depends on the state of matter, that is, there is a known Boltzmann´s constant for flat space-time and an effective Boltzmann´s constant for curved space-time. This model will allow us to quantify the structure of space-time and will serve as a basis to determine the origin of gravity and the origin of elementary particles. Using the Shannon-Boltzmann-Gibbs entropy relation, we will demonstrate that information is not lost and depends on the state of matter, the information is encoded and depends on the effective Boltzmann´s constant.
Keywords
RLC electrical model; RC electrical model; cosmology; background radiation; Hubble’s law; Boltzmann´s constant; dark energy; dark matter; black hole; Big Bang and cosmic inflation, statistical physics, astronomy, astrophysics and condensed matter physics.
Subject
Physical Sciences, Theoretical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
