Abstract
AbstractThe horizon is a classical concept that arises in general relativity and is therefore not clearly defined when the source cannot be reliably described by classical physics. To any (sufficiently) localised quantum mechanical wavefunction, one can associate a horizon wavefunction which yields the probability of finding a horizon of given radius centred around the source. We can then associate to each quantum particle a probability that it is a black hole, and the existence of a minimum black hole mass follows naturally, which agrees with the one obtained from the hoop conjecture and the Heisenberg uncertainty principle.
Funder
Alma Mater Studiorum - Università di Bologna
Publisher
Springer Science and Business Media LLC
Reference15 articles.
1. J.R. Oppenheimer, H. Snyder, Phys. Rev. 56, 455 (1939)
2. J.R. Oppenheimer, G.M. Volkoff, Phys. Rev. 55, 374 (1939)
3. P.S. Joshi, Gravitational Collapse and Spacetime Singularities. Cambridge Monographs on Mathematical Physics (Cambridge, 2007)
4. K.S. Thorne, Nonspherical Gravitational Collapse: A Short Review. in J.R. Klauder, Magic Without Magic, San Francisco (1972), 231
5. P.D. D’Eath, P.N. Payne, Phys. Rev. D 46, 658 (1992)