Muon Anomalous Magnetic Moment from Aperture-Well Geometry: A Geometric Estimate with Zero Free Parameters
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2026
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| _version_ | 1866901394809683968 |
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| author | Oshields, Brian Oshields, Brian |
| author_facet | Oshields, Brian Oshields, Brian |
| contents | <p>We apply Aperture-Well Unification Theory (AWUT) to the muon anomalous magnetic moment a_μ = (g_μ − 2)/2. AWUT derives all physics from a single axiom — time leads space by π/2, chained to the Planck-Stop boundary — without Standard Model fields, virtual particles, or perturbative expansions.</p> <p>In AWUT the muon is a one-twist spatial loop of spacetime fabric carrying n_μ ≈ 207 harmonic wave modes fixed by Ka-Boom throat geometry. Traversing a closed orbit, this loop accumulates a fractional holonomy defect from discrete Planck-scale spacetime bubbles (Purple bubbles) at the cosmic background rate Π_P = 7/26. The same universal defect operator that gives the electron anomaly a_e = α/2π (0.015% error at leading order), the Lamb shift (0.08%), and the 21-cm hyperfine line (0.04%) applies to the muon with its mode-structured loop path.</p> <p>From two Ka-Boom anchors (f_R = 9.2557 GHz, r_p = 0.8409 fm) and zero fitted parameters: the muon mode count n_μ = 206.47 (0.14% error vs observed m_μ/m_e = 206.768) is fully derived. The core's leading-order geometric estimate is Δa_μ ≈ 33.5 × 10⁻¹¹ [BOUNDED APPROXIMATION], falling within the experimental band (21.9 ± 6.3) × 10⁻¹¹ under the WP2025 revised SM baseline. The absolute scale will sharpen to a point prediction when two named open integrals are evaluated: the Ka-Suck ODE (local Purple bubble density near baryonic apparatus) and the two-encounter routing integrals C₂, C₃.</p> <p>Under WP2025 incorporating BMW lattice QCD hadronic vacuum polarization, SM tension with Fermilab reduces to ~0.6σ — effectively zero. This paper makes no claim against that revised baseline. A prior standalone calculation using N_μ = 116.3882 is fully retracted; that primitive is not in the current AWUT derivation chain and the calculation contained an unaccounted factor of ~77. All results in this paper carry complete arithmetic. A self-contained Python verification script is included.</p> <p>Full framework: AWUT Integrated Edition 2026, DOI 10.5281/zenodo.19447331.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20033202 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Muon Anomalous Magnetic Moment from Aperture-Well Geometry: A Geometric Estimate with Zero Free Parameters Oshields, Brian Oshields, Brian muon anomalous magnetic moment muon g-2 anomalous magnetic moment geometric QED hadronic vacuum polarization <p>We apply Aperture-Well Unification Theory (AWUT) to the muon anomalous magnetic moment a_μ = (g_μ − 2)/2. AWUT derives all physics from a single axiom — time leads space by π/2, chained to the Planck-Stop boundary — without Standard Model fields, virtual particles, or perturbative expansions.</p> <p>In AWUT the muon is a one-twist spatial loop of spacetime fabric carrying n_μ ≈ 207 harmonic wave modes fixed by Ka-Boom throat geometry. Traversing a closed orbit, this loop accumulates a fractional holonomy defect from discrete Planck-scale spacetime bubbles (Purple bubbles) at the cosmic background rate Π_P = 7/26. The same universal defect operator that gives the electron anomaly a_e = α/2π (0.015% error at leading order), the Lamb shift (0.08%), and the 21-cm hyperfine line (0.04%) applies to the muon with its mode-structured loop path.</p> <p>From two Ka-Boom anchors (f_R = 9.2557 GHz, r_p = 0.8409 fm) and zero fitted parameters: the muon mode count n_μ = 206.47 (0.14% error vs observed m_μ/m_e = 206.768) is fully derived. The core's leading-order geometric estimate is Δa_μ ≈ 33.5 × 10⁻¹¹ [BOUNDED APPROXIMATION], falling within the experimental band (21.9 ± 6.3) × 10⁻¹¹ under the WP2025 revised SM baseline. The absolute scale will sharpen to a point prediction when two named open integrals are evaluated: the Ka-Suck ODE (local Purple bubble density near baryonic apparatus) and the two-encounter routing integrals C₂, C₃.</p> <p>Under WP2025 incorporating BMW lattice QCD hadronic vacuum polarization, SM tension with Fermilab reduces to ~0.6σ — effectively zero. This paper makes no claim against that revised baseline. A prior standalone calculation using N_μ = 116.3882 is fully retracted; that primitive is not in the current AWUT derivation chain and the calculation contained an unaccounted factor of ~77. All results in this paper carry complete arithmetic. A self-contained Python verification script is included.</p> <p>Full framework: AWUT Integrated Edition 2026, DOI 10.5281/zenodo.19447331.</p> |
| title | Muon Anomalous Magnetic Moment from Aperture-Well Geometry: A Geometric Estimate with Zero Free Parameters |
| topic | muon anomalous magnetic moment muon g-2 anomalous magnetic moment geometric QED hadronic vacuum polarization |
| url | https://doi.org/10.5281/zenodo.20033202 |