Electron g-2 Closure from Aether-Unit Holonomy in QMU

Electron g-2 Closure from Aether-Unit Holonomy in QMU This record archives the manuscript and source files for a QMU-first (ledger-first) derivation program for the electron magnetic-moment anomaly\(a_e := (g_e-2)/2\), formulated as a dimensionless holonomy defect of Aether-unit geometry. Core hypothesis (holonomy identity). The anomaly is identified with a forward-time holonomy invariant on the electron chronovibrational path:\[a_e = Δ_H, Δ_H := 1/2π∮γ_+δω,δω := γ_+^ ω_5 - γ_+^ ω_4.\]Here \(ω_5\) is an intrinsic 5D transport connection, \(ω_4\) is its induced 4D projection, and \(γ_+\) is the forward-time (4D-visible) leg of the chronovibrational cycle. The 5D ledger closes on the full cycle, while observation samples only \(γ_+\), yielding a nonzero defect. Charge conversion entry point for \(α\) (CCF, square-charge basis). In QMU, \(α\) enters as a conversion weight between square-charge primitives, not as an SI coupling:\[e^2 = 8π\,α\,{e_emax}^2.\]Accordingly, the defect is treated as a conversion-controlled holonomy series\[Δ_H(α) = c_1α + c_2α^2 + c_3α^3 + ⋯,\]with coefficients \(c_k\) determined by Aether-unit geometry, projection, and packing topology. Leading scale from one-wrap transport. A minimal explicit connection ansatz yields the observed leading scale\[a_e ≈ α/2π\]when the forward-time loxodrome carries one azimuthal wrap. What is new here (explicit bridge term in Milestone M5). This version makes explicit that a finite-thickness cardioid-tube support for the CCF-induced U(1) twist contributes a multiplicative gate correction.Imposing the toroidal invariance constraint \(Rr={λ_C}^2\) (major radius \(R\), minor radius \(r\)), the natural normalized tube-area scale is\((2π R)(2π r)=4π^2(Rr)=4π^2{λ_C}^2\).The corresponding gate factor is written as the simplest nontrivial fractional-turn uplift:\[ηgate := 1+1/4π^2.\]This term is used as the explicit bridge that closes the diagnostic gap between an underlying rotation-sampling factor near \(0.257\) and the extracted \(ηᵣₒₜ≈ 0.264\), via a factorization of the sampled defect into time-window sampling and tube-gating. Program structure (Milestones). The manuscript is intentionally a program paper: it defines the holonomy invariant, establishes ledger closure for the connection-level construction, and specifies a falsifiable pipeline (Milestones M1-M7) linking:(1) explicit connections \((ω_5,ω_4)\),(2) chronovibration restriction (forward-time sampling),(3) octant-domain taxonomy and seam spectrum,(4) integer wrap and obstruction indices,(5) CCF-induced U(1) connection with finite-thickness gating,(6) dimensionless closure tests against \(g_e\) and independent recoil \(α\),(7) a transfer principle to EDM and CLFV sectors using a shared holonomy kernel. Data comparison used in the draft. The numerical diagnostics use a high-precision Penning-trap electron magnetic moment measurement and independent atom-recoil determinations of \(α\) (Cs and Rb). All comparisons are performed in dimensionless form.