Annihilation-to-nothing: a quantum gravitational boundary condition for the Schwarzschild black hole
- Univ. of the Basque Country, Bilbao (Spain); IKERBASQUE, Bilbao (Spain)
- Asia Pacific Center for Theoretical Physics, Pohang (South Korea); McGill Univ., Montreal, QC (Canada)
- National Taiwan Univ., Taipei (Taiwan);
- National Taiwan Univ., Taipei (Taiwan); Stanford Univ., CA (United States). Kavli Inst. for Particle Astrophysics and Cosmology; SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Pusan National Univ., Busan (South Korea)
The interior of a static Schwarzschild metric can be written in terms of two functions, similar to some models of anisotropic cosmology. With a suitable choice of canonical variables, we solve the Wheeler-DeWitt equation (WDW) inside the horizon of a Schwarzschild black hole. By imposing classicality near the horizon, and requiring boundedness of the wave function, we get a rather generic solution of the WDW equation, whose steepest-descent solution, i.e., the ridge of the wave function, coincides nicely with the classical trajectory. However, there is an ambiguity in defining the arrow of time which leads to two possible interpretations—(i) if there is only one arrow of time, one can infer that the steepest-descent of the wave function follows the classical trajectory throughout: coming from the event horizon and going all the way down to the singularity, while (ii) if there are two different arrows of time in two separate regimes, it can be inferred that the steepest-descent of the wave function comes inwards from the event horizon in one region while it moves outwards from the singularity in the other region, and there exists an annihilation process of these two parts of the wave function inside the horizon. Additionally, adopting the second interpretation could shed light on the information loss paradox: as time goes on, probabilities for histories that include black holes and singularities decay to zero and eventually only trivial geometries dominate.
- Research Organization:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); Ministry of Science and Technology (MOST); National Research Foundation of Korea (NRF)
- Grant/Contract Number:
- AC02-76SF00515; 107-2119-M-002-005; 108-2811-M-002-682; 2018R1D1A1B07049126
- OSTI ID:
- 1769026
- Journal Information:
- Journal of Cosmology and Astroparticle Physics, Vol. 2020, Issue 11; ISSN 1475-7516
- Publisher:
- Institute of Physics (IOP)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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