A Possible Quantum Gravity Hint in Binary Black Hole Merger
arXiv:2305.09391 · doi:10.1016/j.physletb.2024.138467
Abstract
We present a semi-rigorous justification of Bekenstein's Generalized Second Law of Thermodynamics applicable to a universe with black holes present, based on a generic quantum gravity formulation of a black hole spacetime, where the bulk Hamiltonian constraint plays a central role. Specializing to Loop Quantum Gravity, and considering the inspiral and post-ringdown stages of binary black hole merger into a remnant black hole, we show that the Generalized Second Law implies a lower bound on the non-perturbative LQG correction to the Bekenstein-Hawking area law for black hole entropy. This lower bound itself is expressed as a function of the Bekenstein-Hawking area formula for entropy. Results of the analyses of LIGO-VIRGO-KAGRA data recently performed to verify the Hawking Area Theorem for binary black hole merger, are shown to be entirely consistent with this Loop Quantum Gravity-induced inequality. However, the consistency is independent of the magnitude of the Loop Quantum Gravity corrections to black hole entropy, depending only on the negative algebraic sign of the quantum correction. We argue that results of alternative quantum gravity computations of quantum black hole entropy, where the quantum entropy exceeds the Bekenstein-Hawking value, may not share this consistency.
arXiv comment5 Pages Revtex 4-1, 2 jpg figures, reference added. No changes in main body of paper
References in corpus (21)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- Microscopic Origin of the Bekenstein-Hawking Entropy
- GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
- GW170817: Measurements of Neutron Star Radii and Equation of State
- GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
- Background Independent Quantum Gravity: A Status Report
- GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
- Quantum Geometry and Black Hole Entropy
- Black hole entropy in Loop Quantum Gravity
- Logarithmic correction to the Bekenstein-Hawking entropy
- Geometry of Generic Isolated Horizons
- Mechanics of Isolated Horizons
- Black hole entropy and SU(2) Chern-Simons theory
- Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons
- Quantum Black Hole Entropy
- Testing the black-hole area law with GW150914
- An improved estimate of black hole entropy in the quantum geometry approach
- Observational tests of the black hole area increase law
- Fine-grained state counting for black holes in loop quantum gravity
- Holographic Bound on Area of Compact Binary Merger Remnant