Fermion behavior around Sung-Won-Kim wormholes in a generalized Kaluza-Klein gravity

TL;DR

This paper explores how fermions behave near Sung-Won-Kim wormholes within a generalized Kaluza-Klein gravity framework, revealing effects of extra dimensions on quantum properties and wormhole stability.

Contribution

It introduces a novel analysis of fermionic dynamics in extended Kaluza-Klein wormhole models, highlighting geometric and quantum effects due to extra dimensions.

Findings

Extra dimension influences fermion equations of motion.

Emergence of geometric phases in fermion behavior.

Implications for wormhole stability and traversability.

Abstract

This paper investigates the behavior of fermions in the vicinity of Sung-Won-Kim wormholes \cite{SW Kim PRD 1996} within the framework of a generalized Kaluza-Klein gravity. The study explores the geometric and quantum implications of introducing an extra dimension into the Sung-Won-Kim wormhole model. The impact of this additional dimension on the stability and traversability of the wormholes, as well as on the fermionic equations of motion, is analyzed. By examining the modified Dirac equation in this extended framework, the emergence of geometric phases and quantum holonomies is discussed, providing insights into the topological aspects of fermion dynamics in curved spacetimes.