On continuous causal isomorphisms

TL;DR

This paper demonstrates that continuous causal isomorphisms in two-dimensional Minkowski spacetime can be characterized through the invariance of wave equations, providing a mathematical criterion for such transformations.

Contribution

It introduces a characterization of continuous causal isomorphisms via wave equation invariance in 2D Minkowski spacetime, linking causal structure to differential equations.

Findings

Causal isomorphisms preserve wave equations

Characterization of causal maps via PDE invariance

Mathematical link between causality and wave invariance

Abstract

It is shown that continuous causal isomorphisms on two-dimensional Minkowski spacetime can be characterized by the invariance of wave equations.