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Entropy 2019, 21(3), 222; https://doi.org/10.3390/e21030222

From an Entropic Measure of Time to Laws of Motion

1
Technical Physics Department, Ural Federal University, 19 Mira St., 620002 Ekaterinburg, Russia
2
Institute of Industrial Ecology, Russian Academy of Sciences, 20 S. Kovalevskaya St., 620219 Ekaterinburg, Russia
*
Author to whom correspondence should be addressed.
Received: 10 January 2019 / Revised: 15 February 2019 / Accepted: 21 February 2019 / Published: 26 February 2019
(This article belongs to the Special Issue Entropy Production and Its Applications: From Cosmology to Biology)
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Abstract

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. View Full-Text
Keywords: measure of time; entropy; laws of motion; repulsive and attractive forces measure of time; entropy; laws of motion; repulsive and attractive forces
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Martyushev, L.M.; Shaiapin, E.V. From an Entropic Measure of Time to Laws of Motion. Entropy 2019, 21, 222.

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