Hawking Radiation as Residual Channel Coupling: A Structural Reinterpretation from Binary Partition Geometry

Persistent channel coupling is structurally inevitable; Hawking radiation may be a physical realization of this coupling. This note presents a structural reinterpretation of Hawking radiation based on a conserved binary partition framework. A system is modeled as a normalized partition into a dominant classical channel and a subordinate quantum channel, coupled through a geometric-mean mediator. The partition defines a compact constraint manifold on which the mediator is strictly non-vanishing for any finite asymmetry, guaranteeing persistent coupling between channels. Within this framework, we identify a cubic self-consistency boundary separating quantum-dominated and classical-amplification regimes. Extreme classical configurations—interpreted here as black-hole–like states—lie deep in the classical regime but retain nonzero mediator coupling, implying unavoidable leakage from the classical channel to the quantum channel. Hawking radiation is interpreted as this residual channel coupling, which structurally drives the system back toward balance on the compact manifold. The analysis is purely geometric and kinematic. It does not derive the Hawking temperature, radiation spectrum, or evaporation rate, nor does it invoke quantum gravity, AdS/CFT, or microscopic dynamics. Instead, it establishes that complete decoupling of quantum degrees of freedom is impossible in any conserved binary partition with geometric-mean mediation. Unitarity follows from the compactness and invertibility of the partition map. The results are offered as a structural interpretation that parallels known features of black-hole evaporation, not as a replacement for established quantum-field-theoretic treatments. Related work: De Jesus, Elias. (2026). Geometric Constraints on Cosmological Density Parameters: The Matter-Dark Energy Asymmetry and the Natural Logarithm Base. Zenodo. https://doi.org/10.5281/zenodo.18446081