Spectral Graph Unification: A Geometric Solution to the Yang-Mills Mass Gap and the Particle Generational Hierarchy
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| Format: | Recurso digital |
| Langue: | anglais |
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2026
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| _version_ | 1866901789255663616 |
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| author | Pirolo, Andres Sebastian |
| author_facet | Pirolo, Andres Sebastian |
| contents | <p dir="ltr">A non-perturbative framework based on Spectral Graph Theory that solves the <strong>Yang-Mills Mass Gap </strong>and unifies the Standard Model particle generations.</p> <p dir="ltr">By modeling hadrons as complete graphs (K_N), we derive the scaling law M prop. N(N-1), proving spectral confinement ( λ_2=3) for the proton (K_3) and accurately predicting the tetraquark mass at 1876 MeV (matching the f_0(1710) candidate).</p> <p dir="ltr">Furthermore, we identify a universal geometric scaling factor G ≈ 30 across all fermions, derived from the symmetric breaking of SO(32) <em><strong>string topology</strong></em>. This framework precisely reproduces the gauge coupling constants (α_s ≈ 0.1176), mixing angles (sin² θ13} ≈ 0.022), and the Higgs VEV ratio. Crucially, the model <strong>predicts the Normal Neutrino Hierarchy</strong> with a sum E m_\nu ≈ 0.063 eV, theoretically ruling out the Inverted Hierarchy via cosmological bounds.</p> <p dir="ltr">Extended predictions include a QCD axion mass of m_a ≈ 56 , μ eV and a SUSY breaking scale (Gravitino) at m3/2 ≈ 5.18 TeV.</p> <p dir="ltr"> </p> <p dir="ltr">Feed back: apirolo@abc.gob.ar</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18357988 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Spectral Graph Unification: A Geometric Solution to the Yang-Mills Mass Gap and the Particle Generational Hierarchy Pirolo, Andres Sebastian Gravitino Tetraquark f0(1710) QCD Confinement Yang-Mills Mass Gap High Energy Physics <p dir="ltr">A non-perturbative framework based on Spectral Graph Theory that solves the <strong>Yang-Mills Mass Gap </strong>and unifies the Standard Model particle generations.</p> <p dir="ltr">By modeling hadrons as complete graphs (K_N), we derive the scaling law M prop. N(N-1), proving spectral confinement ( λ_2=3) for the proton (K_3) and accurately predicting the tetraquark mass at 1876 MeV (matching the f_0(1710) candidate).</p> <p dir="ltr">Furthermore, we identify a universal geometric scaling factor G ≈ 30 across all fermions, derived from the symmetric breaking of SO(32) <em><strong>string topology</strong></em>. This framework precisely reproduces the gauge coupling constants (α_s ≈ 0.1176), mixing angles (sin² θ13} ≈ 0.022), and the Higgs VEV ratio. Crucially, the model <strong>predicts the Normal Neutrino Hierarchy</strong> with a sum E m_\nu ≈ 0.063 eV, theoretically ruling out the Inverted Hierarchy via cosmological bounds.</p> <p dir="ltr">Extended predictions include a QCD axion mass of m_a ≈ 56 , μ eV and a SUSY breaking scale (Gravitino) at m3/2 ≈ 5.18 TeV.</p> <p dir="ltr"> </p> <p dir="ltr">Feed back: apirolo@abc.gob.ar</p> |
| title | Spectral Graph Unification: A Geometric Solution to the Yang-Mills Mass Gap and the Particle Generational Hierarchy |
| topic | Gravitino Tetraquark f0(1710) QCD Confinement Yang-Mills Mass Gap High Energy Physics |
| url | https://doi.org/10.5281/zenodo.18357988 |