This research derives the fine-structure constant in a geometric framework, suggesting implications for fundamental physics.
We derive the fine-structure constant α−¹ = 137.036 from geometric consistency requirements of a Finsler–Randers substrate. The key result is a Spinor Transport Closure Theorem: a spacetime supporting globally consistent spin-1/2 transport must satisfy the structural identity κnbare = 1, where nbare is the density of minimal transport loops and κ is the normalized Randers flag curvature. The integer nbare = 24 is derived from the dimensionality, orientation structure, and transverse curvature modes of spin transport in four dimensions. A topological instanton associated with gradient relaxation then fixes the electromagnetic coupling, yielding α = 2C/e^π²/2, where C = 1.014667 is a one-loop determinant computed using the Gel’fand–Yaglom method. No free parameters or fitted constants appear.
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David B Smith (2026) studied this question.
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