Classical and quantized aspects of dynamics in five dimensional relativity

TL;DR

This paper explores how five-dimensional relativity can produce classical and quantum-like behaviors in four-dimensional physics, linking null paths in 5D to particle motion and quantization rules.

Contribution

It demonstrates the emergence of quantum-like relations from 5D relativity and discusses their implications for induced-matter and membrane theories.

Findings

Null paths in 5D can appear as timelike in 4D.

Massive particle motion in 4D obeys quantization rules.

Connections between 5D geometry and quantum uncertainty.

Abstract

A null path in 5D can appear as a timelike path in 4D, and for a certain gauge in 5D the motion of a massive particle in 4D obeys the usual quantization rule with an uncertainty-type relation. Generalizations of this result are discussed in regard to induced-matter and membrane theory.