Fundamental Symmetries of the extended Spacetime

TL;DR

This paper explores advanced mathematical frameworks like Fourier duality and the Stone-von Neumann theorem to investigate polymer-quantization and modified uncertainty relations as potential methods for compactifying an extra dimension in theoretical physics.

Contribution

It introduces a novel approach combining Fourier duality and the Stone-von Neumann theorem to analyze extra-dimensional compactification schemes.

Findings

Polymer-quantization techniques applied to extra dimensions.

Modified uncertainty relations suggest new compactification methods.

Potential phenomenological implications for extra-dimensional theories.

Abstract

On the basis of Fourier duality and Stone-von Neumann theorem, we will examine polymer-quantization techniques and modified uncertainty relations as possible 1-extraD compactification schemes for a phenomenological truncation of the extraD tower.