Best approximation to a reversible process in black-hole physics and the area spectrum of spherical black holes
Open accessAbstract
The assimilation of a quantum (finite size) particle by a Reissner-Nordstr\"om black hole inevitably involves an increase in the black-hole surface area. It is shown that this increase can be minimized if one considers the capture of the lightest charged particle in nature. The unavoidable area increase is attributed to two physical reasons: the Heisenberg quantum uncertainty principle and a Schwinger-type charge emission (vacuum polarization). The fundamental lower bound on the area increase is $4\ensuremath{\Elzxh},$ which is smaller than the value given by Bekenstein for neutral particles. Thus this process is a better approximation to a reversible process in black-hole physics. The universality of the minimal area increase is further evidence in favor of a uniformly spaced area spectrum for spherical quantum black holes. Moreover, this universal value is in excellent agreement with the area spacing predicted by Mukhanov and Bekenstein and independently by Hod.
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Coherent states on SU(2) introduced in [44] are (over-)complete for any fixed j,m, with the completeness relation (34) equal to the identity operator in the j representation.
“These coherent states are (over-)complete for any fixed j, m, namely”
From Symmetry reduction for quantized diffeomorphism-invariant theories of connections (2000) · cites this paper as [44]
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Symmetry reduction for quantized diffeomorphism-invariant theories of connections
Bojowald, M., & Kastrup, H. A. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/15/311 · Cited by 168 · see citing works
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- Authors
- Hod, S.
- Affiliations
- Hebrew University of Jerusalem (IL)
- Corresponding author
- Hod, Shahar
- ORCID
- Hod, Shahar
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1998-12-18
- Volume
- 59
- Issue
- 2
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2034363148
- Cited by
- 70
- References
- 12
- Citations by year
- 2024: 2 · 2023: 3 · 2022: 1 · 2021: 1 · 2020: 1 · 2019: 5 · 2018: 2 · 2017: 4 · 2016: 5 · 2015: 7 · 2014: 2 · 2013: 3 · 2012: 7
- FWCI
- 1.31
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Keywords
- black hole area spectrum, Reissner-Nordström black hole, particulate absorption, uncertainty principle, vacuum polarization, Bekenstein bound, spherical black holes, quantum black holes, reversible processes
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