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#projectivegeometry — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #projectivegeometry, aggregated by home.social.

  1. α ≈ 1/137 is a cross-ratio — a count of quantum heartbeats in an electron's light-crossing time. The Arithmetic Gauge reveals projective invariants surviving the choice between smooth and discrete geometry, and the geometric origin of prime gap randomness. doi.org/10.5281/zenodo.20137343 #Physics #Mathematics #NumberTheory #ProjectiveGeometry #ArithmeticGauge

  2. The fine-structure constant alpha ~ 1/137.036 is one of the most precisely measured numbers in physics, yet its origin remains unexplained. A new preprint reframes alpha not as an abstract coupling constant, but as a projective cross-ratio: the classical electron radius divided by the reduced Compton wavelength.

    Full preprint: doi.org/10.5281/zenodo.20100109

    #Physics #QuantumMechanics #Mathematics #ProjectiveGeometry #Science #Research #Academic #ParticlePhysics