Particle topology · 2026

Topological Nucleon Magnetic Moments

R. G. Measey

Abstract

A magnetic-moment relation μ_p = p³/(q cos β) from T(2,3) geometry. The bare topological value 8/3 is 4.5% off the measured 2.7928; the proton match requires one fitted deformation angle ε per nucleon (ε_p ≈ 0.297 from exact match), so it is a one-parameter fit, not a zero-parameter derivation. The neutron ratio μ_n/μ_p = −2/3 is the ν=2 case of the standard SU(6) two-term spin-flavour moment operator μ(B) = (4/3)μ_maj − (1/3)μ_min (not a spatial charge modulation); the framework supplies only the Casimir weight 4/3 = 1/C₂(j=½). The same operator reproduces the whole baryon octet — fitting three quark moments to p, n, Λ predicts Σ±, Ξ⁰, Ξ⁻ and Σ⁰→Λ to standard SU(6)-breaking accuracy — and implies latent, hard-to-measure targets (Σ⁰ static moment ≈ +0.79 μ_N, Δ⁺⁺ ≈ +5.6 μ_N). Quark-moment magnitudes are inputs; the absolute magnitude of μ_n remains open.

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