Relativity on two-dimensional spacetimes

TL;DR

This paper derives Lorentz transformations in two-dimensional spacetime without assuming linearity, using wave equation invariance linked to causality preservation, offering a novel approach to relativistic transformations.

Contribution

It introduces a non-linear derivation of Lorentz transformations based on wave invariance and causality, expanding the theoretical understanding of relativity in 2D spacetimes.

Findings

Lorentz transformations derived without linearity assumption

Wave invariance linked to causality preservation established

New framework for 2D relativistic transformations proposed

Abstract

Lorentz transformation on two-dimensional spacetime is obtained without assumption of linearity. To obtain this, we use the invariance of wave equations, which is recently proved to be equivalent to the causality preservation.