Canonical Field Matrix Derivation of Higher-Order QED Anomalies, Perturbative Divergence Bridge, and C 5 Soliton Closure

AbstractWe present a parameter-free, first-principles derivation of electron anomalous magnetic moment radiative corrections (C2,C3,C4,C5), bypassing multi-loop perturbative Feynman diagram combinatorial expansion. Modeling space-time as a discrete aperiodic quantum matrix mapped by prime numbers and structured via Fibonacci phyllotaxis (αg = 2π/ϕ2), we introduce a spinor evolution operator F^spinor = F^0 ⊗ M^1/2 accounting for SU(2)→SO(3) double-cover Riemann layers. The frame-reset entropic cost yields ΔS=α/2π for C2. Higher orders emerge as topological ray-intersection and Riemannian volume integrals, reproducing C2 ≈ −0.328479, C3 ≈ −0.464762, and C4 ≈ −1.8365 within standard QED tolerance. Extending the 5D topological soliton contour locked to π5 and ϕ5, we derive the strict analytical prediction C5,Canon spinor =+13.72772, resolving the UV/IR truncation blindness of perturbative expansions like Kinoshita's effective limit (A5 ≈7.795).

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-30
DOI
https://doi.org/10.5281/zenodo.23067125
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Canonical Field Matrix Derivation of Higher-Order QED Anomalies, Perturbative Divergence Bridge, and C 5 Soliton Closure

Долгий Александр
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Canonical Field Matrix Derivation of Higher-Order QED Anomalies, Perturbative Divergence Bridge, and C 5 Soliton Closure

Долгий Александр
preprint en

Abstract

AbstractWe present a parameter-free, first-principles derivation of electron anomalous magnetic moment radiative corrections (C2,C3,C4,C5), bypassing multi-loop perturbative Feynman diagram combinatorial expansion. Modeling space-time as a discrete aperiodic quantum matrix mapped by prime numbers and structured via Fibonacci phyllotaxis (αg = 2π/ϕ2), we introduce a spinor evolution operator F^spinor = F^0 ⊗ M^1/2 accounting for SU(2)→SO(3) double-cover Riemann layers. The frame-reset entropic cost yields ΔS=α/2π for C2. Higher orders emerge as topological ray-intersection and Riemannian volume integrals, reproducing C2 ≈ −0.328479, C3 ≈ −0.464762, and C4 ≈ −1.8365 within standard QED tolerance. Extending the 5D topological soliton contour locked to π5 and ϕ5, we derive the strict analytical prediction C5,Canon spinor =+13.72772, resolving the UV/IR truncation blindness of perturbative expansions like Kinoshita's effective limit (A5 ≈7.795).

Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
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