Structural approximation and a Minkowski space-time lattice with Lorentzian invariance

TL;DR

This paper presents a discrete lattice model of Minkowski space-time that maintains Lorentz invariance through a structural approximation approach, offering new perspectives on space-time's algebraic and geometric properties.

Contribution

It introduces a novel framework for approximating Minkowski space-time with finite cyclic lattices that preserve Lorentz symmetry.

Findings

Discrete lattice models can approximate Minkowski space-time while preserving Lorentz invariance.

The construction reveals new algebraic and geometric insights into space-time structure.

Abstract

We introduce a framework of structural approximation to represent Lorentz-invariant Minkowski space-time as the limit of finite cyclic lattices, each equipped with the action of a finite quasi-Lorentz group. This construction provides a discrete model preserving Lorentz symmetry and offers new insights into the algebraic and geometric structure of space-time.