Arrow of time in generalized quantum theory and its classical limit dynamics

TL;DR

This paper explores a generalized quantum theory with a well-defined arrow of time, characterized by complex time dependence and non-Hermitian Hamiltonians, and examines its classical limit.

Contribution

It introduces a generalized quantum framework with a consistent classical limit that exhibits a clear arrow of time, extending traditional quantum mechanics.

Findings

Well-defined arrow of time in generalized quantum dynamics

Classical limit retains time asymmetry

Framework involves complex time and non-Hermitian Hamiltonians

Abstract

In this paper we have studied a generalized quantum theory and its consistent classical limit, which possess a well-defined arrow of time in their dynamics. The original quantum theory is defined as analytically dependent on complex time and specified by non-Hermitian Hamiltonian structure.