Mathematical Structure of Discrete Space-time

Abstract

In this letter we briefly investigate the mathematical structure of space-time in the framework of discretization. It is shown that the discreteness of space-time may result in a new mechanical system which differ from the usual quantum mechanics (QM).

5 pages, no figures

References in corpus (2)

• Representations of the holonomy algebras of gravity and non-Abelian gauge theories
• The Small Scale Structure of Space-Time: A Bibliographical Review

Cited by in corpus (1)

• Semiclassical Length Measure from a Quantum-Gravity Wave Function