Martyushev Leonid M, Shaiapin Evgenii V
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.
Entropy (Basel). 2019 Feb 26;21(3):222. doi: 10.3390/e21030222.
A hypothesis proposed in the paper (Martyushev, L.M. , , 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.
论文（马秋舍夫，L.M. ， ，345）中提出的关于基于明确且普遍引入的基本概念对物理理论进行演绎表述的假设得到了进一步发展。考虑了一种具有许多特性的时间熵度量，这些特性导致了类似于伽利略 - 爱因斯坦相对性原理的情况。利用这种度量和一个简单模型，得到了一个将时间与系统粒子的大小和数量联系起来的运动学定律。研究了该定律的推论。特别地，得到了系统大小的加速增长，而在大小恒定的系统中，观察到粒子数量的减少。一个有趣的推论是，对于相对密集的系统，出现了与系统大小平方成反比的排斥力和吸引力，而对于密度足够低的系统，力是恒定的。
