Topological invariants from self-sweeping flow axiom

Daimon Zhang
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Axiomatic geometric model yields unique topological invariants N=39, nm=22, SL=137 via two convergent paths. No free parameters. Full math preprint linked.
Hello everyone,

This post presents a rigorous mathematical construction based on a single self-sweeping flow axiom, which yields unique topological invariants without any free parameters.

Key results include:
- Minimal self-avoiding winding number: N=39
- Casson invariant from SU(2)_3 TQFT: nm=22
- Total self-linking number: SL=137
- Full convergence between geometric and algebraic derivations

This is the mathematical foundation for the Standard Model gauge group structure and related physical predictions.

The complete mathematical proof, including axioms, topological constructions, and detailed derivations, is available in my preprint:

DOI: https://doi.org/10.5281/zenodo.19971347

Thank you for your time.
 

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