2007/07/18 by B. P. Kosyakov
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical limit #Classical mechanics #Classical physics #Computer science #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Path integral formulation #Physics #Quantum #Quantum gravity #Quantum mechanics #Spacetime #Theoretical physics #gr-qc
paper · pdf · doi:10.1007/s10701-008-9227-z
published as Found.Phys.38:678-694,2008 · comment: LaTeX, 12 pages
arxiv created 2007/07/18 · openalex publication_date 2008/06/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The central idea advocated in this paper is that forming the black hole horizon is attended with transition from the classical regime of evolution to the quantum one. We justify the following criterion for discriminating between the classical and the quantum: spontaneous creations and annihilations of particle-antiparticle pairs are impossible in the classical world but possible in the quantum world. We show that it is sufficient to change the overall sign of the spacetime signature in the classical picture of field propagation for it to be treated as its associated quantum picture. To describe a self-gravitating object at the last stage of its classical evolution, we propose to use the Foldy--Wouthuysen representation of the Dirac equation in curved spacetimes, and the Gozzi classical path integral. In both approaches, maintaining the dynamics in the classical regime is controlled by supersymmetry.