Position-Dependent Evaporation of Black Holes: A Conjecture on Spacetime-Encoded Lifespans

This paper proposes a novel conjecture that challenges the standard assumption of mass-only dependence in black hole evaporation. It suggests that the evaporation time of a black hole, typically defined by its mass under isolated conditions, may also vary depending on its position in a curved spacetime manifold. By introducing the concept of a position-dependent evaporation function T(B) = T(m, x), where m is the mass and x is the location within a relativistic manifold, the paper raises new questions about the influence of local spacetime curvature, dark energy fields, and gravitational wave activity. This conjecture invites further exploration at the intersection of thermodynamics, general relativity, and structural philosophy.