Some remarks on black hole thermodynamics

TL;DR

This paper re-examines two black hole thermodynamic paradoxes, discusses their resolutions, and explores the connection between Hawking radiation and quantum tunneling concepts using Feynman diagrams.

Contribution

It provides a detailed analysis of black hole thermodynamic paradoxes and discusses the link between Hawking radiation and quantum tunneling using Feynman diagrams.

Findings

Resolution of the entropy absorption paradox by Bekenstein and Hawking.

Discussion of the thermal instability involving blackbody cavities and black holes.

Analysis of the connection between Hawking radiation and superluminal tunneling time.

Abstract

Two thermodynamic "paradoxes" of black hole physics are re-examined. The first is that there is a thermal instability involving two coupled blackbody cavities containing two black holes, and second is that a classical black hole can swallow up entropy in the form of ambient blackbody photons without increasing its mass. The resolution of the second paradox by Bekenstein and by Hawking is re-visited. The link between Hawking radiation and Wigner's superluminal tunneling time is discussed using two equivalent Feynman diagrams, and Feynman's re-interpretation principle.