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

Abstract This paper investigates the behavior of fermions in the vicinity of Sung-Won-Kim wormholes 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.