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This volume aims to create a cohesive understanding of black hole quantum information using R-layer Mode Theory.

June 26, 2026Open Access

R-layer Mode Theory (RLMT) XLI‑J: RLMT and Black Hole Quantum Information — An R-layer Resolution of the Information Paradox

Key Points

This volume aims to create a cohesive understanding of black hole quantum information using R-layer Mode Theory.
Develops a framework integrating Small-AUP/MUP modes and emergent geometry from tension fields.
Reinterprets Hawking radiation and maps black hole interior instabilities to mode imbalance fluctuations.
Applies the island formula and entanglement wedge reconstruction within the R-layer context.
PTA-band suppression is identified as an observational consequence.
CMB B-mode modifications correlated with R-layer dynamics.
Interferometer-scale corrections reveal GW–neutrino correlations associated with R-layer effects.

Abstract

This volume develops a unified description of black hole quantum information within the framework of R-layer Mode Theory (RLMT). Microscopic information is encoded in conserved Small-AUP/MUP modes, while macroscopic geometry emerges from the tension field σ(x) and its R-wave excitations. Hawking radiation is reinterpreted as a dimensional reduction of R-wave dynamics with backreaction encoded in a scale-dependent dissipation kernel TR(k). The instability of black hole interiors, emphasized by Hotta, is mapped to fluctuations in the mode imbalance and the dissipative dynamics of the tension field. The island formula and entanglement wedge reconstruction are given an R-layer interpretation, where islands arise as portions of the R-layer entanglement wedge. Observational consequences include PTA-band suppression, CMB B-mode modifications, interferometer-scale corrections, and GW–neutrino correlations.

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