Next Article in Journal
Cooling Ability/Capacity and Exergy Penalty Analysis of Each Heat Sink of Modern Supersonic Aircraft
Next Article in Special Issue
Goal Identification Control Using an Information Entropy-Based Goal Uncertainty Metric
Previous Article in Journal
Supervised and Unsupervised End-to-End Deep Learning for Gene Ontology Classification of Neural In Situ Hybridization Images
Article Menu
Issue 3 (March) cover image

Export Article

Open AccessArticle
Entropy 2019, 21(3), 222;

From an Entropic Measure of Time to Laws of Motion

Technical Physics Department, Ural Federal University, 19 Mira St., 620002 Ekaterinburg, Russia
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)
Full-Text   |   PDF [2418 KB, uploaded 26 February 2019]   |  


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

Figure 1

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 (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Martyushev, L.M.; Shaiapin, E.V. From an Entropic Measure of Time to Laws of Motion. Entropy 2019, 21, 222.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top