A characterization of causal automorphisms by wave equations

TL;DR

This paper demonstrates that causal automorphisms in Minkowski spacetime can be characterized using wave equations, suggesting that causal analysis can be approached through wave equation studies on manifolds.

Contribution

It introduces a novel characterization of causal automorphisms via wave equations, linking causal structure analysis to solutions of wave equations on manifolds.

Findings

Causal automorphisms can be characterized by wave equations.

Causal analysis can be replaced by wave equation studies.

Provides a new perspective on spacetime causality.

Abstract

A characterization of causal automorphism on Minkowski spacetime is given by use of wave equation. The result shows that causal analysis of spacetime may be replaced by studies of wave equation on manifolds.