Global time asymmetry as a consequence of a wave packets theorem

TL;DR

This paper explains the universe's observed global time asymmetry by demonstrating that wave packets in the Liouvillian representation evolve into Hardy class functions, providing a mathematical basis for time asymmetry.

Contribution

It introduces a wave packets theorem showing that wave packets become Hardy class functions at large times, linking mathematical properties to cosmological time asymmetry.

Findings

Wave packets become Hardy class functions as t approaches infinity

The global time asymmetry of the universe is explained through this mathematical framework

Provides a new perspective connecting quantum wave packet behavior to cosmological phenomena

Abstract

When $t\to \infty $ any wave packet in the liouvillian representation of the density matrices, becomes a Hardy class function from below. This fact, in the global frame of Reichenbach diagram, is used to explain the observed global time asymmetry of the universe.