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June 1, 20260 citationsOpen Access

MEON: Topologically Selected Effective Spin-Torsion Field Theory in 4D Spacetime (Version R173 / Audit M024)

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AKAsil Karahan

Key Points

  • The aim is to formulate a robust effective field theory framework incorporating spin-torsion interactions in four-dimensional spacetime.
  • Developed the MEON framework as an effective topological spin-torsion field theory.
  • Integrated Quantum Effective Action to account for non-local expectation values and infrared order parameters.
  • Configured classical field equations with a stable Proca sector and selected topological rules.
  • Demonstrated absolute linear stability of the vector sector against instabilities.
  • Identified macroscopic resonance proximity related to the fine-structure constant, indicating geometric correlation.
  • Outlined open research questions concerning non-local topological constraints and quantitative lensing potential.

Abstract

This document formulates the MEON framework as an effective topological spin-torsion field theory in a 4-dimensional spacetime. It marks the structural transition from an empirically motivated curve-fitting approach to a formally consistent, phenomenological Effective Field Theory (EFT) candidate. Version R173 (Audit M024) introduces the Quantum Effective Action () to rigorously incorporate non-local expectation values of the spectral dimension and internal Lorentz spin-Casimir operators as macroscopic infrared order parameters. The classical field equations feature a massive Proca sector with a corrected positive mass signature and a dynamically consistent negative source coupling (-gT S_ J₅^), ensuring absolute linear stability against tachyon and ghost instabilities for the free vector sector. The framework relies on a phenomenological topological selection rule based on the Fibonacci-Lucas global attractor (F₄ L₄ = 21), aligning the dimensionless spin sector (j=4) with the macroscopic 4D geometry. A highly suggestive macroscopic resonance proximity (N 194. 0000436) emerges via the fine-structure constant (), suggesting a correlation between the geometric sector and the axial field. The application to astrophysical phenomena, such as the Bullet Cluster, is framed qualitatively through macroscopic coherent axial spin densities acting as field sources. The fundamental microscopic derivation of the non-local topological constraints from a UV-complete quantum gravity theory, as well as explicit quantitative lensing potential calculations, are explicitly declared as open research questions (Theory Gap).

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Cite This Study

Asil Karahan (2026) studied this question.

synapsesocial.com/papers/6a1d22bb02fbce9130638715https://doi.org/10.5281/zenodo.20455483
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