Article
Version 4
This version is not peer-reviewed
Interpretation of Gravity by Entropy
Version 1
: Received: 14 August 2024 / Approved: 14 August 2024 / Online: 14 August 2024 (15:15:39 CEST)
Version 2 : Received: 28 August 2024 / Approved: 28 August 2024 / Online: 28 August 2024 (13:03:40 CEST)
Version 3 : Received: 17 September 2024 / Approved: 17 September 2024 / Online: 17 September 2024 (15:42:03 CEST)
Version 4 : Received: 22 October 2024 / Approved: 22 October 2024 / Online: 22 October 2024 (10:27:51 CEST)
Version 2 : Received: 28 August 2024 / Approved: 28 August 2024 / Online: 28 August 2024 (13:03:40 CEST)
Version 3 : Received: 17 September 2024 / Approved: 17 September 2024 / Online: 17 September 2024 (15:42:03 CEST)
Version 4 : Received: 22 October 2024 / Approved: 22 October 2024 / Online: 22 October 2024 (10:27:51 CEST)
How to cite: Fujino, S. Interpretation of Gravity by Entropy. Preprints 2024, 2024081039. https://doi.org/10.20944/preprints202408.1039.v4 Fujino, S. Interpretation of Gravity by Entropy. Preprints 2024, 2024081039. https://doi.org/10.20944/preprints202408.1039.v4
Abstract
In this paper, we introduce generalized entropy, the acceleration of its entropy and its the partial entropy. We assume that generalized entropy can be expressed as a second-order polynomial by applying the idea of logistics function to its entropy. In other words, we assume that the acceleration of generalized entropy is a constant. Besides, we show that the negative inverse of the partial entropy can express Newton's gravity, which is an inverse square law. By applying these concepts, we attempt to explain that 1) Gravity is constant within small distances with some conditions. It is possible that gravity have 5-states within small enough distance. There is possible anti-force, which is the opposite of Newtonian gravity Among the 5-states. Furthermore, within small distance, we show the possibility that the gravitational potential and the Coulomb potential can be treated in the same way, that 2) The rotation speed of a galaxy does not depend on its radius if the radius is within the size level of the universe. (The galaxy rotation curve problem), and that 3) The gravitational acceleration toward the center changes at long distances compared to the Newton's gravity. We show that it is an extension of Newton's gravity. Furthermore, we show that the possibility of the existence of some constants which controls gravity and the speed of galaxies, and that gravity may relate on entropy.
Keywords
Entropy, Gravity; Galaxy rotation curve; MOND, Planck's law; Dynamical system; Inverse square law; Logistic function
Subject
Physical Sciences, Mathematical 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.
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