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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20326436 |
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Table of Contents:
- <p><strong>Abstract</strong></p> <p>We present a firstprinciples derivation of the finestructure constant \alpha within the Generalized Mass as Twisted Time (GMaTT) framework. Using only the intrinsic geometry of the exceptional Lie group G_2 and the octonions, we obtain the leading term \alpha^{-1} = 12^2 - 7 = 137 from the total number of roots in the G_2 root system (12) and the dimension of the imaginary octonion space (7). A small geometric correction arising from the 14 generators of \mathfrak{g}_2 and the longtoshort root length ratio \sqrt{3} yields the full experimental value \alpha^{-1} = 137.035999206. In this picture, \alpha is not an empirical coupling constant but the square of the maximal phasecoherence margin (\sqrt{\alpha}) allowed by the TwistUntwist Threshold (TUT) window in the cutandproject construction from the G_2 root lattice. No free parameters are introduced; the result follows directly from the geometry of the pregeometric pThe Geometric Origin of the Fine-Structure Constant: α as the G₂ Phase-Coherence Margin in GMaT</p>