Most likely configurations for fermion localization in a Braneworld-$f(Q,B_Q)$

TL;DR

This paper investigates fermion localization in braneworld models within modified gravity frameworks, revealing how deviations from General Relativity influence brane structure, fermion confinement, and potential experimental signatures of extra dimensions.

Contribution

It introduces a detailed analysis of fermion localization in $f(Q,B_Q)$ gravity, highlighting the effects of gravitational modifications on brane stability and fermion confinement mechanisms.

Findings

Deviations from GR lead to split brane structures.

Fermion localization probabilities increase with gravitational modifications.

Massive fermions can escape the brane, suggesting new experimental probes.

Abstract

This study delves deeply into braneworld scenarios within modified gravity models, investigating their impact on particle localization and the structure of branes. Through a comprehensive blend of numerical analyses and theoretical inquiries, we unravel a nuanced correlation between deviations from standard General Relativity (GR) and the emergence of split branes. By employing probabilistic measurements, we pinpoint stable configurations that align with brane division intervals, thus challenging prevailing assumptions regarding the gravitational framework of our universe. Furthermore, our investigation extends to the localization of fermions within the brane, exposing intricate dynamics shaped by scalar field characteristics and modifications to gravitational models. By harnessing quantum information measurements, notably Shannon entropy, we discern heightened probabilities of fermion localization within the brane as gravitational models diverge from standard paradigms. This underscores the limitations of General Relativity in comprehensively describing the complexities inherent in our universe. Lastly, our exploration of massive fermions unveils their potential to breach the confines of the brane, hinting at promising avenues for future experimental endeavors aimed at probing the nature of extra dimensions and gravitational interactions. This suggests exciting prospects for advancing our understanding of fundamental physics beyond conventional boundaries.