All minisuperspaces from symmetry reductions of the Einstein-Hilbert Lagrangian that obey the principle of symmetric criticality are canonically quantized and their Wheeler-DeWitt equations are solved.
Quantum Black Hole Wave Packet: Average Area Entropy and Temperature Dependent Width
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abstract
A quantum Schwarzschild black hole is described, at the mini super spacetime level, by a non-singular wave packet composed of plane wave eigenstates of the momentum Dirac-conjugate to the mass operator. The entropy of the mass spectrum acquires then independent contributions from the average mass and the width. Hence, Bekenstein's area entropy is formulated using the $\langle \text{mass}^2 \rangle$ average, leaving the $\langle \text{mass} \rangle$ average to set the Hawking temperature. The width function peaks at the Planck scale for an elementary (zero entropy, zero free energy) micro black hole of finite rms size, and decreases Doppler-like towards the classical limit.
fields
gr-qc 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
After Minkowski breaking in collapsing matter, the quantum potential in the Raychaudhuri equation strongly opposes collapse to the Schwarzschild singularity.
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Canonical quantization of all minisuperspaces with consistent symmetry reductions
All minisuperspaces from symmetry reductions of the Einstein-Hilbert Lagrangian that obey the principle of symmetric criticality are canonically quantized and their Wheeler-DeWitt equations are solved.
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On gravitational collapse and integrable singularities
After Minkowski breaking in collapsing matter, the quantum potential in the Raychaudhuri equation strongly opposes collapse to the Schwarzschild singularity.