Numerical observation identifies a relation involving the inverse fine-structure constant, suggesting deeper connections in physics.
We report a numerical observation concerning the inverse fine-structure constant 1/α. We find that the following relation holds to within the experimental uncertainty of CODATA 2018: 9/α + (35/2π)α³ = 236 × ln(6π³). The residual error is 1.3 × 10⁻⁹, within the CODATA 2018 experimental uncertainty on α. The coefficients 236, 9, 35, and the arguments 6 and π³ share structural elements with a previously reported perturbative series for mp/me. No theoretical derivation is offered. Is related to : https://doi.org/10.5281/zenodo.18693489
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Judicael Brindel (2026) studied this question.
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