Perturbative analysis of Casimir wormholes with generalized uncertainty principle corrections in matter-geometry coupled gravity

Abstract

Abstract In this paper, we investigate traversable wormhole solutions supported by Casimir energy under the influence of generalized uncertainty principle corrections within the framework of the curvature-matter coupled $$f(R, \mathcal {L}_m, T)$$ f ( R , L m , T ) theory. We thoroughly analyze the traversability conditions and derive constraints on the wormhole throat radius and model parameters necessary to ensure smooth and physically viable passage through the wormhole. The dynamical stability of these configurations is evaluated using the quasinormal mode (QNM) approach. Specifically, we compute the QNMs corresponding to scalar, electromagnetic, and Dirac perturbations by employing the third-order Wentzel–Kramers–Brillouin (WKB) approximation method. Furthermore, we examine the light deflection angle associated with the wormhole geometry, providing additional insights into its observational features. Our results suggest that, under appropriate conditions, Casimir wormholes can theoretically exist as stable and traversable structures within this modified gravity framework.