Quantum Black Hole from Quantum Matter, Dr. Yuki YOKOKURA (KEK, Japan)

Quantum effects of matter are indispensable for revealing the
true nature of black holes, such as the time evolution of quantum states
during collapse and evaporation, the origin of the entropy-area law, and
the back-reaction of quantum fluctuations of matter fields on spacetime
with high curvatures. We employ two methods and construct a
non-perturbative self-consistent solution to the semi-classical Einstein
equations. This yields a compact, high-density configuration without a
horizon. A quantum pressure consistent with the 4D Weyl anomaly arises
inside, eliminating classical singularities. Incorporating self-gravity
effects and integrating the entropy density of the matter field over
volume exactly reproduces the entropy-area law. The imaging (shadow) is
consistent with that of the classical case (with a tidy deviation).
Furthermore, we consider an effective dynamics beyond the semi-classical
approximation, describing the interior fully up to the origin. This talk
will outline these results. [arXiv:2002.10331, 2207.14274, 2309.00602,
2403.09388, 2507.18345]