Probability of Creation of Extra Dimensions in Nuclear Collisions

TL;DR

This paper estimates the probability of creating compactified extra dimensions during nuclear collisions using a minisuperspace model, considering both confined matter and radiation domination scenarios.

Contribution

It introduces a model to calculate the probability of extra dimension creation in nuclear collisions, analyzing different matter regimes and their impact on the number of possible extra dimensions.

Findings

Probability of extra dimensions creation is finite in both regimes.

Number of extra dimensions is limited with confined matter.

Infinite extra dimensions possible during radiation domination.

Abstract

The minisuperspace model in $3+d$ spatial dimensions with the matter, described by the bag model, is considered with the aim to estimate the probability of creation of the compactified extra dimensions in nuclear collisions. The amplitude of transition from 3- to $3+d$-dimensional space has been calculated both in the case of completely confined matter, when contribution of radiation is ignored, and in the case of radiation domination, when the bag constant is negligible. It turns out that the number of additional dimensions is limited in the first regime, while this is infinite in the second one. It is shown that the probability of creation of extra dimensions is finite in the both regimes.