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From an Entropic Measure of Time to Laws of Motion
Version 1
: Received: 6 November 2018 / Approved: 7 November 2018 / Online: 7 November 2018 (14:41:05 CET)
A peer-reviewed article of this Preprint also exists.
Martyushev, L.M.; Shaiapin, E.V. From an Entropic Measure of Time to Laws of Motion. Entropy 2019, 21, 222, doi:10.3390/e21030222. Martyushev, L.M.; Shaiapin, E.V. From an Entropic Measure of Time to Laws of Motion. Entropy 2019, 21, 222, doi:10.3390/e21030222.
Abstract
An idea expressed in the paper [Entropy 2017, 19, 345] about the deductive formulation of a physical theory resting on explicitly- and universally-introduced basic concepts is developed. An entropic measure of time with a number of properties leading to an analog of the Galilei–Einstein relativity principle is considered. Using the introduced measure and a simple model, a kinematic law relating the size, time, and number of particles of a system is obtained. Corollaries of this law are examined. In particular, accelerated increase of the system size and, if the system size remains unchanged, decrease of the number of particles are found. 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 sufficiently rarefied systems.
Keywords
measure of time; entropy; laws of motion; repulsive and attractive forces.
Subject
Physical Sciences, Thermodynamics
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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