A semiclassical deformed BTZ solution encodes Planck-scale kinematic modifications from curved momentum space in a nonlinear microscopic-to-ADM mass map, leaving local geometry and thermodynamics unchanged in form.
Quantum Tunneling Beyond Semiclassical Approximation
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abstract
Hawking radiation as tunneling by Hamilton-Jacobi method beyond semiclassical approximation is analysed. We compute all quantum corrections in the single particle action revealing that these are proportional to the usual semiclassical contribution. We show that a simple choice of the proportionality constants reproduces the one loop back reaction effect in the spacetime, found by conformal field theory methods, which modifies the Hawking temperature of the black hole. Using the law of black hole mechanics we give the corrections to the Bekenstein-Hawking area law following from the modified Hawking temperature. Some examples are explicitly worked out.
fields
gr-qc 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
Quantum-corrected thermodynamics of conformal Weyl gravity black holes via GUP and exponential entropy reveals parameter-dependent divergences in heat capacity and shifts in Joule-Thomson inversion points indicating phase transitions.
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Quantum-Gravitational Backreaction in the BTZ Background from Curved Momentum Space
A semiclassical deformed BTZ solution encodes Planck-scale kinematic modifications from curved momentum space in a nonlinear microscopic-to-ADM mass map, leaving local geometry and thermodynamics unchanged in form.
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Quantum-Corrected Thermodynamics of Conformal Weyl Gravity Black Holes: GUP Effects and Phase Transitions
Quantum-corrected thermodynamics of conformal Weyl gravity black holes via GUP and exponential entropy reveals parameter-dependent divergences in heat capacity and shifts in Joule-Thomson inversion points indicating phase transitions.