Provide a rigorous proof of the hypothesis of fundamental microscopic irreversibility

Establish a rigorous proof of the hypothesis that irreversibility is a fundamental law of nature present at the microscopic level, as articulated by the claim that irreversibility is fundamental and reversible laws in mechanics are idealizations, by constructing or employing an exact theoretical description of particle–field interaction.

Background

The author proposes the hypothesis that irreversibility is a fundamental law of nature and suggests that reversible laws in mechanics are idealizations. Simple models are presented to support this viewpoint.

However, the author notes that a rigorous proof is currently out of reach due to the absence of an exact theoretical description of particle–field interaction, indicating a clear unresolved question.