The photon sphere (R = 3GM/c²) has been identified as a critical boundaryin black hole physics, acting as a quantization bottleneck that processes infallingmatter into discrete Planck-scale units. Here we propose a concrete physicalmechanism driving this quantization: intense gravitational pressure at the photonsphere compresses matter until it reaches the Planck density, forcing a transition toa quantized state. The result comes as a dense, reflective shell of unquantized mat-ter provides the physical origin of the gravitational wave echo barrier. We derivedthe critical pressure, the density profile, the high reflectivity, and the quantizationtimescale. Then, we extended the model to rotating (Kerr) black holes, derivedthe spin dependent echo time delay and showed how the pressure-driven barriernaturally quenches the ergoregion instability, partly via the ejection of the stablePlanck-mass black holes. Finally, we computed the modification of the greybodyfactor due to the photon-sphere shell and showed that it yields a characteristiccomb-like structure in the Hawking radiation spectrum and a potential electromag-netic counterpart for the Event Horizon Telescope. This work bridges the micro-physics of the quantum gravity with macroscopic observables, linking gravitationalwave echoes, black hole thermodynamics, and the information paradox.
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MIM A.B.M MASUM BILLAH
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MIM A.B.M MASUM BILLAH (Thu,) studied this question.
www.synapsesocial.com/papers/6a00205ec8f74e3340f9b3a4 — DOI: https://doi.org/10.5281/zenodo.20071428
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