The Reflexive Spiral (Abbreviated Edition): A Minimal Geometric Framework for Vacuum Suppression, Black‑Hole Information Flow, and the Neutron Lifetime Anomaly

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Authors: Marius Grobler
Cited by: 0

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