Exact Derivation of the Fine-Structure Constant from the S³ Spectral Zeta Function
Year: 2026
Type: article
Abstract: Historical research notice - 8 October 2026. This early exploratory release is retained unchanged for transparent citation and scrutiny. Subsequent work has identified errors and has corrected, narrowed, or withdrawn multiple claims in the early framework. The original files should not be read as a validated physical theory or an established derivation of measured constants. Reopening access is not a renewed endorsement of their conclusions. Current mathematical preprints, with their own explicit assumptions and limitations, are indexed at Mathematics papers by Luqman Mahmood; they do not validate every earlier physics claim. File access was reopened on 8 October 2026. This notice does not establish or backdate the first public availability of any formula. Original files, DOI, and bibliographic dates are preserved. Original description follows. 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.
Author: Mahmood, Luqman
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7141239300