The minimum mass of a black hole that is capable of accretion in a universe with a cosmological constant
Year: 2008
Type: preprint
Abstract: The change in entropy, /DeltaS, associated with the quasi-static absorption of a particle of energy u by a Schwarzschild black hole (ScBH) is approximately (u/T)-s, where T is the Hawking temperature of the black hole and s is the entropy of the particle. Motivated by the statistical interpretation of entropy, it is proposed here that absorption should be suppressed, but not forbidden, when /DeltaS >1 and s<<u/T then the probability for the particle not to be absorbed is approximately exp[-u/T], which is identical to the probability for quantum mechanical reflection by the horizon of a ScBH. The manifestation of quantum behaviors in the new probability function may intimate a fundamental physical unity between thermodynamics and quantum mechanics.
Source: arXiv (Cornell University)
Author: Scott Funkhouser
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1219669394