The Principle of Topological Constraint

An M. Rodriguez (ORCID), Fred Nedrock, Leera Vale, Max Freet, Alex Mercer, Elias Thorne

Preferred Frame Writing — January 2026

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One-Sentence Summary

We propose the Principle of Topological Constraint, which unifies Causality, Fluid Regularity, and Mass as the inevitable geometric consequences of a conserved field topology that is strictly forbidden from being static, torn, or untied.

Summary

We propose the Principle of Topological Constraint: the axiom that physical evolution is strictly the local reorganization of a conserved field topology in the present time slice. By enforcing the preservation of non-trivial topological invariants, we derive Causality, Regularity, and Mass not as separate laws, but as inevitable consequences of a field that is not allowed to be static, torn, or untied.

Keywords

Keywords: Topological Constraint, Yang-Mills Mass Gap, Navier-Stokes Regularity, Emergent Time, Maxwell Universe, PNP Theory, Causal Geometry, Geometric Inertia

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