Analytic semiclassical backreaction of a Schwarzschild black hole in a finite cavity: horizon shift, temperature renormalization, and canonical stability in the Hartle-Hawking State
This paper presents an analytic model of static semiclassical backreaction for a Schwarzschild black hole in the Hartle-Hawking state within a finite cavity, deriving explicit first-order corrections to the horizon location and Hawking temperature while demonstrating that the near-horizon geometry retains its universal Rindler structure, thereby confirming that semiclassical effects renormalize rather than fundamentally alter the geometric origin of Hawking radiation.