The Reflexive Spiral (Abbreviated Edition): A Minimal Geometric Framework for Vacuum Suppression, Black‑Hole Information Flow, and the Neutron Lifetime Anomaly
Abstract
This abbreviated academic paper presents a condensed formulation of the Reflexive Spiral framework, a geometric approach developed in full detail in the accompanying 70‑page foundational manuscript. The framework models spacetime as a reflexive Postnikov–Gödel tower with incomplete self‑reference, yielding two emergent structural invariants: a minimal geometric asymmetry K\sim 0.015–0.02 and a finite recursion depth N_{\mathrm{trunc}}\sim 120–130. These constants arise independently from recursive equilibrium, Standard Model trace‑anomaly matching, holographic encoding limits, and vacuum‑energy suppression. Finite recursion depth suppresses vacuum energy as \rho _{\mathrm{vac}}\sim K^2/N_{\mathrm{trunc}}^{\, p} with p\approx 55.9, reproducing the observed 10^{-120}M_{\mathrm{Pl}}^4 without invoking new particles or symmetries. The same invariant governs non‑thermal Hawking deviations, Page‑curve turnover, and late‑time gravitational‑wave echoes. Topological residues of the reflexive mismatch behave as cold dark matter, while incomplete closure induces a small positive vacuum pressure consistent with dark energy. The neutron bottle‑beam discrepancy yields an effective asymmetry K_{\mathrm{eff}}\sim 0.01, providing an empirical projection of the invariant. This abbreviated version summarizes the core results, derivations, and predictions, while the full 80‑page theory provides the complete mathematical development and proofs. For the full theory visit https://zenodo.org/records/18479810
Fields of Study & Subjects
Black Holes and Theoretical Physics
Cosmology and Gravitation Theories
Relativity and Gravitational Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 13 February 2026
- Language
- EN