Topological soliton coherence scale: one parameter across seven physical domains

AbstractWe develop the hypothesis that fundamental fermions are topological solitonsof a compact phase field Θ ∈ [0, 2π), possessing a single coherence scale a fixed bytopology and energy finiteness. This one parameter produces calculable, falsifiablecorrections across seven independent physical domains: (i) the electron anomalousmagnetic moment g−2, (ii) the hydrogen Lamb shift, (iii) the 1S–2S transition frequency, (iv) Lorentz symmetry emergence, (v) galactic dark matter rotation curvesvia critical slowing of the phase memory field, (vi) quantum decoherence and theBorn rule, and (vii) the selection of gauge rank r = 3 from soliton moduli counting.A three-tier atomic constraint ladder pins a ≤ 0.003 fm (Λcore ∼ 73 GeV), coincident with the electroweak scale. The dark matter mechanism bridges 41 orders ofmagnitude from the microscopic anchor τ0 = a/c to galactic dynamical times viaKosterlitz–Thouless critical slowing, with no new free parameters. We derive a forward prediction |δ(g/2)| ∼ 4.4×10−16 testable by future precision experiments, andan interferometric visibility function V (a, T) with a distinctive linear-plus-Gaussiandecay signature distinguishable from standard decoherence models. The gravitational coupling emerges as the linearized susceptibility of the background action,not an independent parameter. Throughout, a is constrained by data, never fitted.