Exact Closed-Form Blind Prediction of the Muon Anomalous Magnetic Moment Discrepancy via the 5D Complex Matrix M Infrastructure

The persistent discrepancy between the experimental measurement of the positive muon anomalous magnetic moment a_mu = (g-2)_mu / 2 and the Standard Model theoretical consensus prediction stands as one of the most prominent anomalies in modern particle physics, exceeding the 5-sigma discovery threshold. Operating within the discrete five-dimensional cyclic complex matrix infrastructure M in C^(5x5), we demonstrate that this discrepancy Delta a_mu = a_mu^exp - a_mu^SM is not an artifact of hypothetical unobserved particles, but rather an exact, deterministic geometric boundary suppression effect arising from the projection of the 5D discrete vacuum manifold onto the second-generation lepton sector. Governed by the three foundational invariants---the quantum vacuum saturation phase bound Phi_C = pi / 4, the non-perturbative geometric coupling invariant Daleth = e / (pi * alpha) ~ 118.5712176, and the compact discrete matrix volume measure |det(M)| ~ 0.29867507---we establish the exact closed-form blind prediction: Delta a_mu = [cos^2(Phi_C) / Daleth^4] * [1 - |det(M)| / Daleth] ~ 25.2323 x 10^-10 This closed-form analytical prediction exhibits sub-percent precision matching the experimental world average Delta a_mu = (24.9 +- 4.8) x 10^-10 established by the Fermilab E989 and Brookhaven E821 collaborations, agreeing within 0.07-sigma. Following our prior closed-form resolutions of trilinear and quartic Higgs self-couplings and CKM flavor mixing parameters, this result establishes that both leptonic electromagnetic anomalies and generational hierarchies originate from an immutable discrete cyclic geometry without adjustable parameters.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-07
DOI
https://doi.org/10.5281/zenodo.24029050
Primary Topic
Particle physics theoretical and experimental studies
Type
article
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article

Exact Closed-Form Blind Prediction of the Muon Anomalous Magnetic Moment Discrepancy via the 5D Complex Matrix M Infrastructure

Joon sik Choi
1 links
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
article

Exact Closed-Form Blind Prediction of the Muon Anomalous Magnetic Moment Discrepancy via the 5D Complex Matrix M Infrastructure

Joon sik Choi
article en

Abstract

The persistent discrepancy between the experimental measurement of the positive muon anomalous magnetic moment a_mu = (g-2)_mu / 2 and the Standard Model theoretical consensus prediction stands as one of the most prominent anomalies in modern particle physics, exceeding the 5-sigma discovery threshold. Operating within the discrete five-dimensional cyclic complex matrix infrastructure M in C^(5x5), we demonstrate that this discrepancy Delta a_mu = a_mu^exp - a_mu^SM is not an artifact of hypothetical unobserved particles, but rather an exact, deterministic geometric boundary suppression effect arising from the projection of the 5D discrete vacuum manifold onto the second-generation lepton sector. Governed by the three foundational invariants---the quantum vacuum saturation phase bound Phi_C = pi / 4, the non-perturbative geometric coupling invariant Daleth = e / (pi * alpha) ~ 118.5712176, and the compact discrete matrix volume measure |det(M)| ~ 0.29867507---we establish the exact closed-form blind prediction: Delta a_mu = [cos^2(Phi_C) / Daleth^4] * [1 - |det(M)| / Daleth] ~ 25.2323 x 10^-10 This closed-form analytical prediction exhibits sub-percent precision matching the experimental world average Delta a_mu = (24.9 +- 4.8) x 10^-10 established by the Fermilab E989 and Brookhaven E821 collaborations, agreeing within 0.07-sigma. Following our prior closed-form resolutions of trilinear and quartic Higgs self-couplings and CKM flavor mixing parameters, this result establishes that both leptonic electromagnetic anomalies and generational hierarchies originate from an immutable discrete cyclic geometry without adjustable parameters.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 31%
Particle physics theoretical and experimental studies
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