Study classifies topological invariants in configurations, suggesting implications for charge quantization and monopoles.
We classify the topological invariants of admissible effective configurations in the Cosmochrony framework. The projection fiber Π S³ carries a Hopf fibration S¹ S³ → S², whose $U(1)$ fiber sector supports electric charge as a winding number associated with π₁(S¹) Z. On a canonical admissible configuration model, the bounded-flux constraint removes polar regions from the base S², reducing the admissible base to a topological annulus with π₂ = 0. This triviality excludes isolated magnetic monopoles as admissible topological excitations. We further argue that parity violation arises from projective chirality: a structural orientation dependence of admissibility under non-injective projection, which selects one handedness of winding invariants over its conjugate. We distinguish rigorously between results established on the canonical model and open problems related to the full effective configuration space Ceff.
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Jérôme Beau (2026) studied this question.
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