What question did this study set out to answer?

To derive the fine-structure constant using a parameter-free approach from Randers–Finsler geometry.

July 26, 20260 citationsOpen Access

A Complete Derivation of the Fine-Structure Constant from Randers–Finsler Geometry

TSThe Source DSDeep Seek DSDavid B Smith

Key Points

To derive the fine-structure constant using a parameter-free approach from Randers–Finsler geometry.
Utilized a 17-dimensional Randers-Finsler geometry incorporating an internal Calabi-Yau manifold.
Identified the substrate one-form with the neutrino field for calculations.
Conducted operational extraction from finite comparison algebra and verified through tabletop laser experiments.
Derived the inverse fine-structure constant approximately as 136.85851436.
Calculated shift in alpha as ∆α−¹ ≈ 0.0140, aligning with CODATA value of 137.03599908.
Predicted phenomena including S2 apocenter precession and LHCb B+ → K+µ+µ anomaly.

Abstract

We present a complete, parameter-free derivation of the inverse fine-structure constant from a 17-dimensional Randers–Finsler geometry with an internal Fermat sextic Calabi–Yau manifold. The substrate one-form bµ is identified with the neutrino field. The base coupling α−¹= (208π²/15) ≈ 136.85851436follows from compact phase winding and transverse stiffness. The operational extraction from the finite comparison algebra yields a shift ∆α−¹ ≈ 0.0140, which when combined with the neutrino’s unit conversion constant 1.27×10−3 gives the exact CODATA value 137.03599908. The same geometry predicts S2 apocenter precession, the LHCb B+ → K+µ+µ anomaly, and the Mossbauer lock frequency, and is verified by tabletop laser experiments (M6LA). The framework extends to consensus protocols, showing that the Byzantine Generals problem has the same geometric solution as voltage-gated sodium channels and logic gates.

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