Neutrino Mixing Angles and QCD String Tension from the Rendering Friction: Complete PMNS Matrix and Confinement Geometry from Five Axioms
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2026
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| _version_ | 1866901084797140992 |
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| author | Lim, Han-Jun |
| author_facet | Lim, Han-Jun |
| contents | <p>Abstract<br>The three neutrino mixing angles of the PMNS matrix are derived from the<br>five-axiom set {12, π, γ1, ln 2, φ} of Array Cosmology with zero free parameters.<br>(1) sin2 θ12 = Zπ = (π − 3)π ln 2 = 0.3083 (NuFIT 5.2: 0.307 ± 0.013, 0.4%, 0.1σ).</p> <p>(2) sin2 θ23 = (1 + Z)/2 = 0.5491 (NuFIT 5.2: 0.546 ± 0.021, 0.6%, 0.1σ).</p> <p>(3) sin2 θ13 = Zπ/γ1 = 0.02181 (NuFIT 5.2: 0.02220 ± 0.00068, 1.7%, 0.6σ). The hierarchy sin2 θ13/ sin2 θ12 = 1/γ1 is controlled by the Riemann anchor (Axiom 3). </p> <p>Combined with the CP-violating phase δCP = 194.7◦ (Paper XVI), the PMNS matrix is fully determined. Additionally, the QCD string tension √ σ = mππ = 438.5 MeV is derived (lattice range: 410–460 MeV).</p> <p>The framework implicitly predicts normal neutrino mass ordering. These results, combined with Papers XXX– XXXI, bring the total to 12 independent non-perturbative predictions from five axioms spanning mesons, nucleons, neutrinos, and confinement.</p> <p> </p> |
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| id | zenodo_https___doi_org_10_5281_zenodo_19287996 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Neutrino Mixing Angles and QCD String Tension from the Rendering Friction: Complete PMNS Matrix and Confinement Geometry from Five Axioms Lim, Han-Jun <p>Abstract<br>The three neutrino mixing angles of the PMNS matrix are derived from the<br>five-axiom set {12, π, γ1, ln 2, φ} of Array Cosmology with zero free parameters.<br>(1) sin2 θ12 = Zπ = (π − 3)π ln 2 = 0.3083 (NuFIT 5.2: 0.307 ± 0.013, 0.4%, 0.1σ).</p> <p>(2) sin2 θ23 = (1 + Z)/2 = 0.5491 (NuFIT 5.2: 0.546 ± 0.021, 0.6%, 0.1σ).</p> <p>(3) sin2 θ13 = Zπ/γ1 = 0.02181 (NuFIT 5.2: 0.02220 ± 0.00068, 1.7%, 0.6σ). The hierarchy sin2 θ13/ sin2 θ12 = 1/γ1 is controlled by the Riemann anchor (Axiom 3). </p> <p>Combined with the CP-violating phase δCP = 194.7◦ (Paper XVI), the PMNS matrix is fully determined. Additionally, the QCD string tension √ σ = mππ = 438.5 MeV is derived (lattice range: 410–460 MeV).</p> <p>The framework implicitly predicts normal neutrino mass ordering. These results, combined with Papers XXX– XXXI, bring the total to 12 independent non-perturbative predictions from five axioms spanning mesons, nucleons, neutrinos, and confinement.</p> <p> </p> |
| title | Neutrino Mixing Angles and QCD String Tension from the Rendering Friction: Complete PMNS Matrix and Confinement Geometry from Five Axioms |
| url | https://doi.org/10.5281/zenodo.19287996 |