Information measures for fermion localization in $f(T, B)$ gravity with non-minimal couplings

TL;DR

This paper studies how fermions can be localized on a brane in a five-dimensional $f(T, B)$ gravity model with non-minimal couplings, analyzing solutions and using information theory to understand localization effects.

Contribution

It introduces a detailed analysis of fermion localization in $f(T, B)$ gravity with non-minimal couplings, combining analytical solutions with information-theoretic measures.

Findings

Distinct behaviors of fermion modes depending on coupling functions

Localization of both massless and massive fermions demonstrated

Information measures provide insights into torsional gravity effects

Abstract

We investigate the dynamics of fermion localization within the framework of $f(T, B)$ gravity featuring non-minimal couplings. Starting from the Dirac action for a spin-$1/2$ fermion in a five-dimensional spacetime governed by torsional $f(T, B)$ gravity, we derive the Dirac equation and we explore its solutions under various non-minimal coupling functions. We examine two realistic forms of the torsional non-minimal coupling and reveal distinct behaviors that impact the localization of both massless and massive fermionic modes on the brane. Additionally, we employ probabilistic measurements, including Shannon entropy theory, Fisher information theory, and relative probability, to analyze the localization of these fermionic modes. The observed effects offer potential insights into probing torsional modifications.