CAT'S THEORY: THE COMPLETE FRAMEWORK — Topological Emergence of the Standard Model from the Triadic Invariant
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2026
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| _version_ | 1866902036737425408 |
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| author | Trout, Coty Austin |
| author_facet | Trout, Coty Austin |
| contents | <p>**CAT’S Theory Capstone (Nov2025-Mar2026):** Complete zero-parameter derivation of the Standard Model lepton sector from topological self-confinement of EM radiation on $S^3$.</p> <p> </p> <p>**Key Results:**</p> <p>- Charged leptons: muon 0.13%, tau 0.02% PDG2024 (post-QED dressing)</p> <p>- PMNS matrix: all angles $≤1σ$, $delta_{CP}=202.5^circ$ ($0.2σ$)</p> <p>- Neutrino sum: $sum m_</p> <p>u approx 59.7$ meV (factor 2 below bounds)</p> <p>- Quark charges: $2/3$, $-1/3$ from $T(3,q)$ writhe (no color invented)</p> <p> </p> <p>**Core Math:**</p> <p>- Triadic axiom $mathcal{R}=Psi\timesmathcal{I}\timesmathcal{P}</p> <p>eq0$ → E-L coupling</p> <p>- Mass exponent $n=26/7$ via **4 routes**: spectral zeta (Bar/APS), triadic dims, bosonic $D_mathrm{crit}$, QCD $\beta$ ($b_1/b_0$)</p> <p>- Hopf solitons $T(p,q)$: helicity/dual-gate stable (Cho/Niemi/Witten)</p> <p> </p> <p>**Falsifiables (8):**</p> <p>1. Normal hierarchy only (DUNE)</p> <p>2. $m_{</p> <p>u_e}=0.82$ meV (KATRIN)</p> <p>3. $delta_{CP}=202.5^circ$ (HyperK)</p> <p>4. GW proxy 8.37 Hz (LIGO)</p> <p>[... full list in paper]</p> <p> </p> <p>**Full registry** Appendix tracks every claim to proof/DOI. Builds: [10.5281/zenodo.18905443](https://doi.org/10.5281/zenodo.18905443), [10.5281/zenodo.18911645](https://doi.org/10.5281/zenodo.18911645).</p> <p> </p> <p>**Code/CSVs** in repo. hep-ph/arXiv ready.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18916085 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | CAT'S THEORY: THE COMPLETE FRAMEWORK — Topological Emergence of the Standard Model from the Triadic Invariant Trout, Coty Austin CAT'S Theory, topological TOE, Hopf solitons, zero-parameter SM, n=26/7, QCD beta convergence, PMNS predictions, neutrino hierarchy, Higgs-collapse boundary <p>**CAT’S Theory Capstone (Nov2025-Mar2026):** Complete zero-parameter derivation of the Standard Model lepton sector from topological self-confinement of EM radiation on $S^3$.</p> <p> </p> <p>**Key Results:**</p> <p>- Charged leptons: muon 0.13%, tau 0.02% PDG2024 (post-QED dressing)</p> <p>- PMNS matrix: all angles $≤1σ$, $delta_{CP}=202.5^circ$ ($0.2σ$)</p> <p>- Neutrino sum: $sum m_</p> <p>u approx 59.7$ meV (factor 2 below bounds)</p> <p>- Quark charges: $2/3$, $-1/3$ from $T(3,q)$ writhe (no color invented)</p> <p> </p> <p>**Core Math:**</p> <p>- Triadic axiom $mathcal{R}=Psi\timesmathcal{I}\timesmathcal{P}</p> <p>eq0$ → E-L coupling</p> <p>- Mass exponent $n=26/7$ via **4 routes**: spectral zeta (Bar/APS), triadic dims, bosonic $D_mathrm{crit}$, QCD $\beta$ ($b_1/b_0$)</p> <p>- Hopf solitons $T(p,q)$: helicity/dual-gate stable (Cho/Niemi/Witten)</p> <p> </p> <p>**Falsifiables (8):**</p> <p>1. Normal hierarchy only (DUNE)</p> <p>2. $m_{</p> <p>u_e}=0.82$ meV (KATRIN)</p> <p>3. $delta_{CP}=202.5^circ$ (HyperK)</p> <p>4. GW proxy 8.37 Hz (LIGO)</p> <p>[... full list in paper]</p> <p> </p> <p>**Full registry** Appendix tracks every claim to proof/DOI. Builds: [10.5281/zenodo.18905443](https://doi.org/10.5281/zenodo.18905443), [10.5281/zenodo.18911645](https://doi.org/10.5281/zenodo.18911645).</p> <p> </p> <p>**Code/CSVs** in repo. hep-ph/arXiv ready.</p> |
| title | CAT'S THEORY: THE COMPLETE FRAMEWORK — Topological Emergence of the Standard Model from the Triadic Invariant |
| topic | CAT'S Theory, topological TOE, Hopf solitons, zero-parameter SM, n=26/7, QCD beta convergence, PMNS predictions, neutrino hierarchy, Higgs-collapse boundary |
| url | https://doi.org/10.5281/zenodo.18916085 |