Evolution of Wormholes under f(R, T) Theory, the Karmarkar Condition and the Casimir Energy

The preprint operates within the established paradigm of Einstein's General Relativity, specifically focusing on the sub-paradigm of wormhole physics. It also engages with the extended paradigm of modified gravity, represented by f(R,T) theory.

This preprint explores wormhole solutions within the f(R,T) gravity theory, a modification of Einstein's General Relativity. While it adheres to the fundamental concepts of spacetime and gravity inherited from General Relativity, it introduces modifications to the field equations, influencing the behavior of wormholes. This exploration of new solutions within a modified framework suggests a state of Model Drift. The preprint doesn't present a radical departure from the existing paradigm but rather investigates the implications of adjustments to the established model. There's also an element of Model Crisis since it addresses the problematic need for exotic matter in traditional wormhole solutions and attempts to resolve this issue within the f(R,T) framework, linking geometric evolution with energy condition transitions via the Casimir effect. However, the primary focus remains on exploring the consequences of modified gravity on wormhole characteristics, placing it closer to Model Drift than a full-blown crisis.