Quantization as a Consequence of Symmetry

TL;DR

This paper explores how the Heisenberg uncertainty relation naturally arises from symmetry considerations in the context of 5-dimensional Kaluza-Klein theory, linking quantum and classical gauge invariance.

Contribution

It demonstrates that quantization can be derived as a consequence of symmetry in higher-dimensional gauge theories, specifically within Kaluza-Klein frameworks.

Findings

Heisenberg relation emerges from gauge invariance in 5D

Symmetry considerations lead to quantization conditions

Links classical gauge invariance to quantum uncertainty

Abstract

It is argued that the Heisenberg relation on 4-spacetime is a necessary condition for the local gauge invariance of a classical wave in the 5-dimensional Kaluza-Klein theory.