Topological Quantization of Coupling Constants: Derivation of the Weinberg Angle from Axiomatic Completeness
Year: 2026
Type: preprint
Abstract: We extend the cohesive ∞-topos framework for unified physics (Benamara, 2026) by resolving a key limitation: the status of coupling constants as empirical inputs. Building upon Axiom 8 (Topological Completeness), we propose that gauge coupling strengths are determined by the categorical complexity of the obstruction classes they vanish. Specifically, we derive the Weinberg angle θW as a ratio of topological invariants associated with the U(1)Y and SU(2)L gauge factors. This yields a prediction of sin2 θW = 3/8 (or 1/4) at the topological scale, moving the Weinberg angle from empirical parameter to derived structural feature. We discuss the relationship between this topological value and low-energy measurements via categorical renormalization flow.
Author: Benamara, Djilali
Institution: Université de Saida Dr Moulay Tahar
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7130834643