This randomised trial examines Skyrmions and calibrates coupling constants for theoretical implications.
This release contains the complete source code, numerical results, figures, and paper for a study of the B=1 Skyrmion in the hedgehog ansatz and a phenomenological calibration of Standard Model coupling constants from the resulting soliton parameters.The dimensionless Skyrme equation is solved numerically (shooting method and BVP solver), yielding a dimensionless energy epsilon = 72.949 (literature value 73.0, deviation < 0.07%) and topological charge B = 1.0000. The Skyrme parameters (F_pi = 130.26 MeV, e = 5.494) are calibrated against nucleon and Delta resonance masses. Two phenomenological scaling relations -- g_W = e/(2*pi) and sin^2(theta_W) = 3/(8*pi) -- yield predictions for the fine structure constant alpha(M_Z) = 1/137.06 (deviation -0.03%), the Weinberg angle sin^2(theta_W)(M_Z) = 0.23042 (deviation -0.35%), and the axial-vector coupling g_A = 1.2717 (deviation -0.04%).Important caveat:The core scaling relations g_W = e/(2*pi) and sin^2(theta_W) = 3/(8*pi) are phenomenological, not derived from first principles. This work is positioned as exploratory discovery, not established theory. All numerical verifications test the self-consistency and precision of these relations.The release includes: (1) the paper in DOCX and PDF formats (Chinese v2), (2) seven Python source files for the numerical calculations, (3) four JSON data files with all numerical results, (4) ten PNG figures, and (5) a README with reproduction instructions.
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卫星 梁 (2026) studied this question.
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