Spectral Zeta Function of the Three-Sphere: Closed Forms and Applications to Gauge Coupling Constants

Closed-form evaluation of the unweighted spectral zeta function of the scalar Laplacian on the three-sphere S^3, with applications to gauge coupling constants in the Vacuum Mechanics framework. Perturbative expansion structure and comparison with experimental determinations are presented. Supersedes v1 (10.5281/zenodo.19247293). Developed with AI assistance (Claude by Anthropic for computation and manuscript drafting). All physical reasoning and formula identification are the author's responsibility.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-27
DOI
https://doi.org/10.5281/zenodo.19247721
Primary Topic
Quantum and Classical Electrodynamics
Type
article
Field-Weighted Citation Impact
0.00
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article

Spectral Zeta Function of the Three-Sphere: Closed Forms and Applications to Gauge Coupling Constants

Luqman Omar Mahmood
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
article

Spectral Zeta Function of the Three-Sphere: Closed Forms and Applications to Gauge Coupling Constants

Luqman Omar Mahmood
article en

Abstract

Closed-form evaluation of the unweighted spectral zeta function of the scalar Laplacian on the three-sphere S^3, with applications to gauge coupling constants in the Vacuum Mechanics framework. Perturbative expansion structure and comparison with experimental determinations are presented. Supersedes v1 (10.5281/zenodo.19247293). Developed with AI assistance (Claude by Anthropic for computation and manuscript drafting). All physical reasoning and formula identification are the author's responsibility.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Quantum and Classical Electrodynamics
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Spectral Zeta Function of the Three-Sphere: Closed Forms and Applications to Gauge Coupling Constants — Luqman Omar Mahmood · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS