Random geometric phase sequence due to topological effects in our brane world from extra dimensions

TL;DR

This paper explores how topological effects in extra-dimensional brane worlds induce a random geometric phase sequence in quantum particles, potentially linked to quantum entanglement nonlocality.

Contribution

It introduces a cohomological model showing how topological features in extra dimensions generate a random geometric phase sequence in quantum mechanics.

Findings

Demonstrates properties of the random phase sequence

Proposes experimental verification methods

Links geometric phases to quantum entanglement

Abstract

Using Kaluza-Klein theory we discuss the quantum mechanics of a particle in the background of a domain wall (brane) embedded in extra dimensions. We show that the geometric phases associated with the particle depend on the topological features of those spacetimes. Using a cohomological modeling schema, we deduce a random phase sequence composed of the geometric phases accompanying the periodic evolution over the spacetimes. The random phase sequence is demonstrated some properties that could be experimental verification. We argue that it is related to the nonlocality of quantum entanglement.