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May 31, 20260 citationsOpen Access

State Locality Theory 2 — Derivation of the Fine-Structure Constant (Version 2)

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MBMikhail Bespoyasov

Key Points

  • This research aims to derive the fine-structure constant from the geometric structure of the electron node using State Locality Theory 2.
  • Derivation of the fine-structure constant using local stability constant and electromagnetic channel fraction.
  • Establishment of the SLT2 invariant I=1/2 through SIC-POVM tetrahedral geometry.
  • Derivation of the electron depth ne=6 from the combinatorial structure of the regular tetrahedron.
  • The derived value of the fine-structure constant matches experimental values within 0.056%.
  • Demonstrated self-consistency relation confirmed the geometric correction of the model is valid.
  • The analytic proofs replaced numerical inputs, enhancing the theoretical basis of SLT2.

Abstract

State Locality Theory 2 (SLT2) derives the fine‑structure constant from the internal geometric structure of the electron node. The prediction combines the local stability constant, the electromagnetic channel fraction, and the hierarchical attenuation associated with the node depth ne=6. The resulting value matches experiment at the 0.056% level. Version 2 replaces the three key numerical inputs with analytic proofs. It establishes the SLT2 invariant I=1/2 from the SIC‑POVM tetrahedral geometry of the two‑dimensional complex state space; it derives the electron depth ne=6 from the combinatorial structure of the regular tetrahedron in the composite space C2⊗C2; and it shows that the total geometric correction satisfies an exact self‑consistency relation tied to the manifestation threshold of the node. These results strengthen the internal coherence of SLT2 and provide a fully analytic foundation for the fine‑structure constant prediction.

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Cite This Study

Mikhail Bespoyasov (2026) studied this question.

synapsesocial.com/papers/6a1bd1745783ba022b6fd0cahttps://doi.org/10.5281/zenodo.20442098
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1State Locality Theory 2 — Derivation of the Fine-Structure Constant2026
  2. 2State Locality Theory 2 — Derivation of the Fine-Structure Constant (Version 2)2026
  3. 3State Locality Theory 2 — Part II: Dynamics Fundamental Field, Node Stability and Localization Dynamics (Version 2)2026
  4. 4Geometric Origin of the Fine-Structure Constant from Event Exclusion2026
  5. 5Geometric Origin of the Fine-Structure Constant from a Unified Substrate Framework2026