On interrelation of time and entropy

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Abstract

A measure of time is related to the number of ways by which the human correlates the past and the future for some process. On this basis, a connection between time and entropy (information, Boltzmann–Gibbs, and thermodynamic one) is established. This measure gives time such properties as universality, relativity, directionality, and non-uniformity. A number of issues of the modern science related to the finding of laws describing changes in nature are discussed. A special emphasis is made on the role of evolutionary adaptation of an observer to the surrounding world.

Figures

  • Figure 1. Schematic llustration of dif er s of linking the past wi the future f r some phenomenon. The longer the interval, the more uncertain the past and the fu ure and the more ays, Ω, by which they are linked.
  • Figure 2. Two consecutive independent processes with the time durations τ1 and τ2 having respectively Ω1 and Ω2 different ways of linking the past with the future.
  • Figure 3. Time variation of trajectories linking the past with the future for some process. Trajectories can only branch out in the course of time.
  • Figure 4. One-to-one correspondence between the number Γ of microstates (representing some state (macrostate) at some moment of time, τ and the number, Ω, of trajectories (ways) linking the past with these microstates.

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CITATION STYLE

APA

Martyushev, L. M. (2017). On interrelation of time and entropy. Entropy, 19(7). https://doi.org/10.3390/e19070345

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