Cargando…
From an Entropic Measure of Time to Laws of Motion
A hypothesis proposed in the paper Entropy (Martyushev, L.M. Entropy 2017, 19, 345) on the deductive formulation of a physical theory based on explicitly- and universally-introduced basic concepts is further developed. An entropic measure of time with a number of properties leading to an analog of t...
Autores principales: | , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2019
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514703/ https://www.ncbi.nlm.nih.gov/pubmed/33266937 http://dx.doi.org/10.3390/e21030222 |
_version_ | 1783586649319407616 |
---|---|
author | Martyushev, Leonid M. Shaiapin, Evgenii V. |
author_facet | Martyushev, Leonid M. Shaiapin, Evgenii V. |
author_sort | Martyushev, Leonid M. |
collection | PubMed |
description | A hypothesis proposed in the paper Entropy (Martyushev, L.M. Entropy 2017, 19, 345) on the deductive formulation of a physical theory based on explicitly- and universally-introduced basic concepts is further developed. An entropic measure of time with a number of properties leading to an analog of the Galileo–Einstein relativity principle is considered. Using this measure and a simple model, a kinematic law which relates time to the size and number of particles of a system is obtained. Corollaries of this law are examined. In particular, accelerated growth of the system size is obtained, whereas in systems with constant size, a decrease in the number of particles is observed. An interesting corollary is the emergence of repulsive and attractive forces inversely proportional to the square of the system size for relatively dense systems and constant for systems with sufficiently low density. |
format | Online Article Text |
id | pubmed-7514703 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75147032020-11-09 From an Entropic Measure of Time to Laws of Motion Martyushev, Leonid M. Shaiapin, Evgenii V. Entropy (Basel) Article A hypothesis proposed in the paper Entropy (Martyushev, L.M. Entropy 2017, 19, 345) on the deductive formulation of a physical theory based on explicitly- and universally-introduced basic concepts is further developed. An entropic measure of time with a number of properties leading to an analog of the Galileo–Einstein relativity principle is considered. Using this measure and a simple model, a kinematic law which relates time to the size and number of particles of a system is obtained. Corollaries of this law are examined. In particular, accelerated growth of the system size is obtained, whereas in systems with constant size, a decrease in the number of particles is observed. An interesting corollary is the emergence of repulsive and attractive forces inversely proportional to the square of the system size for relatively dense systems and constant for systems with sufficiently low density. MDPI 2019-02-26 /pmc/articles/PMC7514703/ /pubmed/33266937 http://dx.doi.org/10.3390/e21030222 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Martyushev, Leonid M. Shaiapin, Evgenii V. From an Entropic Measure of Time to Laws of Motion |
title | From an Entropic Measure of Time to Laws of Motion |
title_full | From an Entropic Measure of Time to Laws of Motion |
title_fullStr | From an Entropic Measure of Time to Laws of Motion |
title_full_unstemmed | From an Entropic Measure of Time to Laws of Motion |
title_short | From an Entropic Measure of Time to Laws of Motion |
title_sort | from an entropic measure of time to laws of motion |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514703/ https://www.ncbi.nlm.nih.gov/pubmed/33266937 http://dx.doi.org/10.3390/e21030222 |
work_keys_str_mv | AT martyushevleonidm fromanentropicmeasureoftimetolawsofmotion AT shaiapinevgeniiv fromanentropicmeasureoftimetolawsofmotion |