Are Micro and Macro Arrows of Time Connected Each Other?

TL;DR

This paper explores how microscopic quantum irreversibility and macroscopic irreversibility are interconnected through stochastic quantum hydrodynamics, suggesting fluctuations can break quantum mechanics at large scales, leading to a unified arrow of time.

Contribution

It introduces a framework linking micro and macro arrows of time via stochastic quantum hydrodynamics, highlighting the role of fluctuations in breaking quantum mechanics at large scales.

Findings

Fluctuations induce macroscopic irreversibility.

Quantum irreversibility is connected to the micro-arrow of time.

The framework explains the transition from quantum to classical irreversibility.

Abstract

The connection between the micro and macro-arrow of time is discussed in the frame of the stochastic quantum hydrodynamic analogy (SQHA). The presence of fluctuations that in the case on non-linear interactions leads to the breaking of the quantum mechanics on large scale and then to the macroscopic irreversibility with a defined arrow of time, gives also rise to the time reversal breaking in the micro-scale quantum evolution (micro-arrow of time). The quantum irreversibility with time reversal asymmetry is briefly discussed.