M23b Black Holes in the Garycki Manifold: NC Coordinates, τ-Branch Singularity Resolution, Three Micro-Dimensions and Information Preservation, Hawking Radiation from RC= ±i, the Kerr Black Hole, AdS/CFT, and the G2 M-Theory Connection & the collection of early papers

This work presents a structural resolution of the black hole information problem within the Operational Standard Model (OSM). The resolution is achieved algebraically, without invoking external degrees of freedom. The core result is that black hole formation, evaporation, and interior evolution are unitary when described on the full τ‑extended, rank‑resolved operational manifold. What appears as information loss in classical spacetime is shown to be a projection artifact arising from restricting dynamics to a single sheet of the τ‑surface and to real rank coordinates only. In this framework, the Schwarzschild singularity is identified as a τ‑branch point rather than a terminal boundary. Geodesic incompleteness is resolved by continuation across τ‑sheets, where information flows into adjacent operational sectors instead of being destroyed. Hawking radiation emerges as a rank‑statistical transfer process: information is redistributed through the imaginary Rank Coordinate via Bose–Einstein and Fermi–Dirac channels, preserving global unitarity while appearing thermally mixed to single‑sheet observers. Crucially, no information is encoded on a horizon in the traditional sense. The event horizon corresponds to a rank‑identity locus (u = 0 in logarithmic coordinates), and entropy arises from rank degeneracy and cloning structure, not from microscopic horizon states. This bypasses the conventional paradox between no‑hair, thermality, and unitarity. The synthesis shows that black holes act as algebraic routers in rank‑space: collapsing information is neither lost nor scrambled irreversibly but re‑expressed across τ and complex rank dimensions. From the OSM perspective, the information paradox dissolves rather than being “solved” by compensating mechanisms. (((attached also the source paper from the 11th of April about the information paradox, and from 9th of April about singularity resolution of the BH; several other mini papers of April; the synthesis monograph is from May, and streamlines the early results)))