Preprint Article Version 1 This version is not peer-reviewed

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)

How to cite: Martyushev, L.; Shaiapin, E. From an Entropic Measure of Time to Laws of Motion. Preprints 2018, 2018110169 (doi: 10.20944/preprints201811.0169.v1). Martyushev, L.; Shaiapin, E. From an Entropic Measure of Time to Laws of Motion. Preprints 2018, 2018110169 (doi: 10.20944/preprints201811.0169.v1).

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.

Subject Areas

measure of time; entropy; laws of motion; repulsive and attractive forces.