A Minimal Self-Organizing Source Model for Emergent Horizons and Radiative Scaling

Abstract

A Minimal Self-Organizing Source Model for Emergent Horizons and Radiative Scaling develops and tests a source-first deterministic model for horizon-like structure and emission. Rather than beginning with a prescribed horizon-bearing geometry, flow, or causal boundary, the construction asks whether a compact organizing source can generate its own finite scale, stationary transition, one-way characteristic surface, intrinsic dynamics, and exterior radiative response. The model begins with a scale-covariant two-state variational source. A conserved global source quantity selects a finite radius \(R_*\) from the stationary dilation family. The projected source metric gives the selected scale finite dynamical inertia and produces an intrinsic mode with frequency proportional to \(R_*^{-1}\). A source-dependent coherence-flow law generates a one-way characteristic surface at the selected transition, while conservative coupling to the outgoing characteristic channel allows source relaxation to produce exterior radiative transport. The coupled system is tested using conservative finite-volume evolution, boundary-accounted energy transport, retarded detector comparisons, spatial and outer-domain convergence, independent time- and frequency-domain pole extraction, finite-energy channel normalization, and source-family robustness tests. For fixed conservative source action, exact scale covariance gives \(\omega\propto R_*^{-1}\), \(E\propto R_*^{-1}\), and \(P\propto R_*^{-2}\). The Zenodo record includes the Version 1.0 paper and the frozen HorizonSource v0.9 research package used for the reported calculations. The package contains the core Python implementation, automated tests, verification and convergence scripts, stored numerical outputs, and paper-figure generation materials. It is provided for inspection, reproducibility, modification, and independent testing. The construction is not presented as a microscopic model of an astrophysical black hole or as a derivation of Hawking radiation. Its purpose is to establish how much horizon-like organization and radiative behavior can arise as related outputs of a compact deterministic source. Internal Reference: CGI-RSR-000035