Albertian Channel Memory in Black-Hole Evaporation

TL;DR

This paper explores a novel algebraic-quantum framework for black-hole evaporation, revealing a retained memory effect that challenges the traditional AMPS paradox assumptions.

Contribution

It introduces an Albertian algebraic-quantum description of black-hole horizons, leading to a new understanding of memory effects in evaporation beyond tensor-factorization.

Findings

Identifies a spectral-overlap two-time coherence in emitted radiation.

Reconstructs the Page curve from an exceptional memory perspective.

Proposes a transfer kernel with superstatistical limits in Euclidean time.

Abstract

The AMPS paradox assumes a globally associative tensor-product stage for the early radiation, the exterior Hawking mode, and the interior partner. We study a retained attractor sector of octonionic magical supergravity whose horizon symbols form the Albert algebra J3(O). This induces an Albertian algebraic-quantum description: states are positive normalized functionals, events are Jordan idempotents, reversible motions are algebra automorphisms, and ordinary quantum mechanics is recovered on associative readout blocks. Peirce theory then splits the horizon data into a hidden exceptional complement, an interface relay, and a two-helicity exterior detector. Eliminating the relay gives a source-fixed Volterra memory law on a neutral-source fixed-charge Reissner--Nordstrom evaporation trajectory. In real time, the leading one-time occupation follows the sourced evaporation clock, while the retained-memory imprint appears as a spectral-overlap connected two-time coherence of windowed helicity/Stokes observables in the emitted history. In Euclidean time, the Peirce--Volterra kernel becomes a transfer kernel with two branchwise superstatistical limits: a regular-opening Tsallis/Lomax onset and a near-extremal shifted-Levy residence branch. The lower admissible envelope of the endpoint actions then reconstructs the Page-curve envelope. The result is an ordinary emitted readout with exceptional memory, not a restored AMPS tensor factorization.