Unveiling the casimir wormhole dynamics in f(R, T2) gravity through complexity insights

The current manuscript deals with the construction of static spherically symmetric wormholes in a gravitational theory involving minimal curvature and matter interaction namely f (R, T) theory. For this purpose, anisotropic fluid is taken as background matter contents and a specific form of generic function involving squared traced term is assumed, i.e., f ( R , T ) = R + α T + β T 2 . Due to highly non-linear form of field equations, we apply EoS parameters relating density to radial and tangential stresses. For evaluating the wormhole shape function analytically, we suppose three different setups of the well-known Casimir effect and address the essential properties of extracted shape functions graphically in each case. Further, we compute the active gravitational mass for all cases and discuss their graphical response against radial coordinate. We also probe the complexity factor and validness of energy constraints for obtained wormhole solutions.Further, we examine the stability of proposed wormhole models through graphical illustration of adiabatic index and Herrera’s cracking condition. It is concluded that the proposed wormholes are significant, stable and consistent with all fundamental wormhole properties.