Contraintes structurelles sur l'angle de Weinberg dans un cadre effectif minimal

ZEN05 — Summary Structural constraints on the Weinberg angle in a minimal effective framework This work examines structural constraints imposed on the Weinberg angle within a minimal effective framework with few parameters. Without postulating an exact value or introducing ad hoc numerical relations, we show that the framework naturally restricts the accessible domain of sin²θ_W to a bounded interval compatible with experimental measurements. KEY FINDING: The Weinberg angle cannot take arbitrary values within the considered framework. Stable configurations concentrate within a bounded interval: 0.22 ≤ sin²θ_W ≤ 0.24 Outside this interval, the effective framework ceases to produce coherent or stable configurations. This suggests the electroweak angle is not freely adjustable but subject to internal model limitations. METHODOLOGY: Minimal effective framework describing electroweak interactions Standard definition of Weinberg angle θ_W via electroweak coupling constants Exploration of parameter space to identify stability domains Characterization of bounded interval for sin²θ_W Robustness verification under normalization convention variations STRUCTURAL CHARACTERISTICS: Bounded domain: sin²θ_W is constrained to a finite interval Internal attractor: An attractor can be identified within this interval, without its central value being imposed a priori No fine-tuning required: The bound persists under reasonable parameter variations Structural mechanism: Constraint emerges from framework consistency, not contingent adjustment NATURE OF CONSTRAINT: The constraint does not fix a unique value of sin²θ_W but defines an accessible domain compatible with experimental measurements (sin²θ_W ≈ 0.231). This differs from both exact numerical relations and hierarchical bounds observed in other sectors. SCOPE: This study complements the analysis of attractor structures (ZEN02), sectorial numerical relations (ZEN03), and constrained hierarchies (ZEN04), preparing a more general synthesis in a subsequent theoretical framework. PRIORITY: This deposit establishes public priority for the identification of structural constraints on the Weinberg angle. Contact: toq.research@laposte.net ORCID: 0009-0003-7926-4331 DOI: 10.5281/zenodo.18444618