Estimative for the size of the compactification radius of a one extra dimension Universe

TL;DR

This paper investigates the size of an extra spatial dimension by analyzing the Casimir effect between plates, comparing theoretical predictions with experimental data to establish bounds on the compactification radius.

Contribution

It provides a novel method to constrain the size of an extra dimension using Casimir effect measurements and statistical analysis.

Findings

Set upper bounds on the compactification radius

Demonstrated the viability of Casimir effect as a probe for extra dimensions

Compared theoretical models with experimental data successfully

Abstract

In this work, we use the Casimir effect to probe the existence of one extra dimension. We begin by evaluating the Casimir pressure between two plates in a $M^4\times S^1$ manifold, and then use an appropriate statistical analysis in order to compare the theoretical expression with a recent experimental data and set bounds for the compactification radius.