Geometric Standard Model: Part III. Topological Heuristics and the Derivation of Fundamental Constants
Year: 2026
Type: preprint
Abstract: This paper investigates the geometric origins of fundamental physical constants within a constrained 3+1+2 multitemporal spacetime manifold. By modeling elementary fermions as energy-minimizing developable Möbius knots and gauge interactions as topological reconnections, we heuristically derive the scales of four fundamental constants from first principles without empirical parameters. Utilizing spatial-to-temporal dimensional ratios and the Wunderlich aspect ratio limit for isometric embeddings, we analytically project the fine-structure constant (\alpha \approx 1/137), the muon-to-electron mass ratio (m_\mu/m_e \approx 205.1), the electroweak mixing angle (\sin^2\theta_W \approx 0.222), and the anomalous magnetic moment (a_e \approx \alpha/2\pi). The remarkable convergence of these geometric derivations with experimental data provides a strong proof-of-concept that the phenomenological parameters of the Standard Model are deterministic macroscopic manifestations of underlying topological constraints.
Author: Cho, Changho
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204911905
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