On the Arrow of Time

TL;DR

This paper proposes that the arrow of time can be explained by the dynamics of gas molecules, their chaotic behavior, and unavoidable perturbations, though the mathematical rigor of such a theory remains uncertain.

Contribution

It introduces a conceptual framework combining molecular dynamics, chaos, and perturbations to explain the arrow of time.

Findings

Identifies three key ingredients for the arrow of time

Highlights the role of chaos and perturbations in temporal asymmetry

Acknowledges the current limitations in mathematical rigor

Abstract

We believe the following three ingredients are enough to explain the mystery of the arrow of time: (1). equations of dynamics of gas molecules, (2). chaotic instabilities of the equations of dynamics, (3). unavoidable perturbations to the gas molecules. The level of physical rigor or mathematical rigor that can be reached for such a theory is unclear.