Horizon-Like Emission from Curvature-Bound Coherence Fields

This paper investigates horizon-like emission from curvature-regulated coherence fields within the Coherence Geometry (CG) framework. Using a multi-phase Lagrangian with curvature stiffness and phase-locking interactions, the paper numerically simulates relaxation of a confined coherence region bounded by a curvature rim. The resulting outward flux exhibits robust inverse-square scaling with boundary radius, \(F_{\mathrm{avg}} \propto R_c^{-2}\), across the simulated geometries. This scaling arises from deterministic local geometric interactions and conserved exterior flux, without invoking statistical, quantum, or thermodynamic assumptions. The paper includes detailed appendices on energy density and flux in CG, including canonical stress-energy, local energy balance, rim boundary contributions, radial specialization, and a complete Noether-theoretic derivation for the higher-derivative bulk Lagrangian and boundary power. This document should be read as a CG-native horizon-like emission study focused on geometric flux generation and inverse-square dilution. The paper does not reproduce the standard semiclassical quantum-field-theoretic derivation of Hawking radiation. Instead, it uses a deterministic curvature-bound coherence simulation to show how horizon-like interfaces can generate outward radiative flux with \(R_c^{-2}\) scaling. The record includes research-artifact computational materials: the radial action-flux simulator notebook, a combiner notebook, the analysis notebook, the combined rim-power dataset, and the original per-radius output archive. The included rim_power_all.csv file allows the main scaling plots to be reproduced without rerunning the full simulator. The included notebooks also generate time-resolved visual frames of the radiating coherence field, making the emission process inspectable as a geometric evolution rather than only as an inferred statistical or semiclassical effect. Internal reference: CGI-RSR-000023.