Muon g−2 Beyond the Crisis Paradigm: Hadronic Vacuum Polarization, Lattice-QCD Windows, and Testable Topological Dumbbell Correspondences in Universal Physics

Abstract The 2026 hybrid lattice-QCD determination of leading-order hadronic vacuum polarization (LO-HVP) by Boccaletti et al. yields aμ(LO-HVP) = 715.1(2.5)(2.3)[3.4] × 10⁻¹⁰ and a Standard Model prediction consistent with the world-average muon g−2 measurement at approximately 0.5 standard deviations. We reassess the mechanical interpretation proposed in the published Universale Physik – U. P. (UP I) and its later formal extension in UP II (ahead of publication), separating established quantum-field results, phenomenological Wolf-angle notation, and unverified hypotheses concerning topological electromagnetic dumbbell nodes. A complete numerical comparison distinguishes the 2025 and 2026 Standard Model baselines, while a multi-window reference table records the independent lattice-QCD benchmarks. We derive two conditional electromagnetic helicity identities: vanishing boundary transport prohibits a nonzero volume-integrated static E·B, and a closed helicity-periodic cycle forces its time average to vanish. Neither identity proves a particular 1π half-cycle inversion or the existence of a stable matter knot. A high-precision calculation across electron and muon anomalies quantifies the difference between arcsin(aℓ) and the UP II convention arctan(aℓ); the ratios to experimental uncertainties test numerical precision, not physical hypotheses. We introduce complementary Euclidean-window and future space-like μe-scattering (MUonE) tests for a hypothetical, independently derived UP current correlator. Finally, we distinguish the verified scope of a dated FX-32 report from more recent author-reported solver checkpoints, neither of which constitutes a calculation of the Pauli form factor F₂(0). This work offers an explicit, falsifiable programme while preserving the priority and evidential limits of its sources.