String theory phenomenology and quantum many body systems

TL;DR

This paper proposes an experimental method to detect extra compact dimensions predicted by String Theory by analyzing the specific heat discontinuity in a bosonic gas, linking thermodynamic measurements to the geometry of extra dimensions.

Contribution

It introduces a novel experimental approach to infer the number of extra dimensions in String Theory through thermodynamic properties of a bosonic condensate.

Findings

The specific heat discontinuity depends on the number of extra dimensions.

A linear relationship between specific heat and particle number is identified.

Feasibility analysis suggests possible experimental detection using rubidium condensates.

Abstract

The main idea in the present work is the definition of an experimental proposal for the detection of the number of extra{compact dimensions contained as a core feature in String Theory. This goal will be achieved as a consequence of the fact that the density of states of a bosonic gas does depend upon the number and geometry of the involved space{like dimensions. In particular our idea concerns the detection of the discontinuity of the specific heat at the condensation temperature as a function of the number of particles present in the gas. It will be shown that the corresponding function between these two variables defines a segment of a straight line whose slope depends upon the number of extra{compact dimensions. Resorting to some experiments in the detection of the specific heat of a rubidium condensate the feasibility of this proposal using this kind of atom is also analyzed.