On physical principles and mathematical mechanisms of the phenomenon of irreversibility

TL;DR

This paper explains irreversibility in physical systems through direct particle interactions, presenting an exact solution for a two-particle oscillator with retarded interaction, revealing infinite oscillation spectra and time-reversal asymmetry.

Contribution

It introduces a deterministic, non-probabilistic explanation for irreversibility using retarded interactions, supported by an exact two-particle oscillator model.

Findings

Retarded interactions cause an infinite spectrum of oscillations.

Time-reversal invariance is broken by retarded interactions.

Irreversibility can be explained without probabilistic hypotheses.

Abstract

It is shown that the phenomenon of irreversibility in many-body and few-body systems can be explained and described within the framework of the concept of direct (not instantaneous) interaction of particles without using probabilistic hypotheses. The exact solution of the model of a two-particle classical oscillator with retarded interaction between particles is presented. It is established that the interactions retardation leads to appearance of an infinite spectrum of both stationary and non-stationary oscillations, and to non-invariance of the solution with respect to time reversal as well.