The Reflexive Spiral: Geometry, Cosmology, and the Structure of Self Reference

Changes to this version: Section 1.4A added (neutron expreiment) This version of The Reflexive Spiral: Geometry, Cosmology, and the Structure of Self‑Reference has been re‑edited and structurally refined to improve readability, reduce page count, and streamline the presentation of core results. The scientific content is unchanged, but the exposition has been reorganized for clarity: redundant passages were removed, notation was standardized, and several sections were compressed without loss of detail. Numerical demonstrations and appendices have been consolidated, and the overall flow has been tightened to make the framework easier to navigate for researchers encountering it for the first time. The reflexive spiral framework proposes that the universe is a self‑referential manifold stabilized by two structural constants: a minimal asymmetry \kappa and a finite recursion depth N_{\mathrm{trunc}}. These constants are not tunable parameters but emergent equilibria of recursive geometry. From this structure arise unified explanations for black‑hole information preservation, non‑thermal Hawking radiation, Page‑curve turnover, gravitational‑wave echoes, dark matter as topological residue, dark energy as expansive lean, and vacuum‑energy suppression. This refined edition preserves all mathematical derivations, physical predictions, and numerical models from the full manuscript, while presenting them in a more compact and accessible form. It is intended for physicists, mathematicians, and theorists working at the intersection of recursion, holography, cosmology, and the limits of self‑reference.