Fermion localization on the brane in Ricci-inverse gravity

This study aims to analyze the effects of modified gravity via anti-curvature tensor on a gravitational model set up within a 5-dimensional space–time, focusing on brane-world scenarios. The anti-curvature tensor introduces innovative configuration that is equal to the inverse of the Ricci tensor. In this analysis, we consider $f(R,A)=(R+\alpha A)$, where the coupling parameter $\alpha$ influences both vacuum regions outside the brane and the core region within it. Through analysis, this study uncovers alterations in fermion localization, particularly impacting left-chirality fermion. To quantify fermion localization, probabilistic metrics such as Shannon entropy and relative probability are employed, demonstrating a heightened level of certainty as $\alpha$ values increase. These findings shed significant light on the dynamics of extra-dimensional models, providing valuable insights into the realms of particle physics and cosmology.