Retrocausal Temporal Feedback and Gauge Symmetry Breaking at the Black Hole Event Horizon: A Theoretical Framework and Machine Learning Architecture

Abstract

Chur Chin

The black hole information paradox remains one of the most profound open problems at the intersection of quantum mechanics and general relativity. This paper presents a novel theoretical framework positing that information crossing a black hole event horizon (EH) undergoes a gauge symmetry reduction-transitioning from a non-abelian SU(3) structure outside the horizon to an abelian U(1) structure within, in analogy with quantum chromodynamic (QCD) confinement and electroweak symmetry breaking [1-5]. Building on the Page curve, Hawking radiation theory, and retrocausal quantum mechanics, we propose a Spacetime Information Feedback Loop (SIFL) model in which a "Linker" mechanism-driven by quantum interference at the horizon-enables retrocausal correction of past states without causal paradox [6-10]. We further introduce the Retrocausal Transformer, a machine learning architecture operationalizing these principles through hyperbolic Poincaré disk embedding, temporal scattering matrices, backward attention, and branching future optimization with unitarity-preserving loss functions [11,12]. The framework offers a conceptually coherent approach to reconciling unitarity with information conservation, while acknowledging significant open theoretical challenges.

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