The ζ-Higgs Lagrangian: From Color Tensor Product to the Arithmetic Potential
Fuente:
Zenodo
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Langue: | En |
| Publié: |
Zenodo
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866901929021407232 |
|---|---|
| author | Mennillo, Antonio |
| author_facet | Mennillo, Antonio |
| contents | <p>We derive the effective Lagrangian for the confining QCD flux tube from two established inputs — QCD confinement and the quantum-mechanical tensor product — through five steps, each a theorem or a quantified physical fact. (1) The tensor product forces multiplicative composition of states, giving E(n) = c ln n. (2) Conformal anomaly cancellation requires D = 24 transverse modes, yielding Z = ζ(β)²⁴. (3) Bertrand's postulate fixes the resolution quantum ln 2 and the mass scale via the Landauer principle. (4) The potential V = k₁⁴|ζ(1/2 + iΦ/k₁)|² is derived by two independent routes: Hadamard product theorem and Bethe S-matrix (LeClair–Mussardo). (5) Newton–Raphson quadratic convergence guarantees vacuum exactness; the convergence data are retroactively identified as the scalar fluctuation mass spectrum m²_φ = 2k₁²|ζ'(ρₙ)|² > 0.</p> <p>The resulting Lagrangian has 24 real scalar fields, potential V = |ζ|², vacua at Riemann zeros, and produces Mₙ = (T_f/ln 2) γₙ with zero continuous free parameters and zero conjectural hypotheses. Uniqueness follows from the Hardy–Riesz theorem. Barrier structure generates the Δn = 1 selection rule, unified with the information conservation law via the Bethe gap kπ. The framework reduces the Yang–Mills mass gap problem to the single question of confinement: given confinement, the mass gap Δ₀ = k_D γ₁ > 0 follows from the zero-free region of the Riemann zeta function.</p> <p>Five independent experimental datasets (PDG 2025, Sharifian lattice, Athenodorou torelon, ALICE freeze-out, CMS tetraquarks) are consistent with the prediction. Supplementary material: 8 figures (generate_figures.py), 98 computational tests across 10 categories (supplementary_tests.py), complete LaTeX source.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19451865 |
| institution | Zenodo |
| language | enc |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The ζ-Higgs Lagrangian: From Color Tensor Product to the Arithmetic Potential Mennillo, Antonio QCD confinement flux tube spectrum Riemann zeta zeros ζ-Higgs Lagrangian arithmetic string hadron mass spectrum Möbius sieve Landauer principle Bertrand postulate Hardy Z-function Bethe ansatz LeClair-Mussardo mass gap Yang-Mills <p>We derive the effective Lagrangian for the confining QCD flux tube from two established inputs — QCD confinement and the quantum-mechanical tensor product — through five steps, each a theorem or a quantified physical fact. (1) The tensor product forces multiplicative composition of states, giving E(n) = c ln n. (2) Conformal anomaly cancellation requires D = 24 transverse modes, yielding Z = ζ(β)²⁴. (3) Bertrand's postulate fixes the resolution quantum ln 2 and the mass scale via the Landauer principle. (4) The potential V = k₁⁴|ζ(1/2 + iΦ/k₁)|² is derived by two independent routes: Hadamard product theorem and Bethe S-matrix (LeClair–Mussardo). (5) Newton–Raphson quadratic convergence guarantees vacuum exactness; the convergence data are retroactively identified as the scalar fluctuation mass spectrum m²_φ = 2k₁²|ζ'(ρₙ)|² > 0.</p> <p>The resulting Lagrangian has 24 real scalar fields, potential V = |ζ|², vacua at Riemann zeros, and produces Mₙ = (T_f/ln 2) γₙ with zero continuous free parameters and zero conjectural hypotheses. Uniqueness follows from the Hardy–Riesz theorem. Barrier structure generates the Δn = 1 selection rule, unified with the information conservation law via the Bethe gap kπ. The framework reduces the Yang–Mills mass gap problem to the single question of confinement: given confinement, the mass gap Δ₀ = k_D γ₁ > 0 follows from the zero-free region of the Riemann zeta function.</p> <p>Five independent experimental datasets (PDG 2025, Sharifian lattice, Athenodorou torelon, ALICE freeze-out, CMS tetraquarks) are consistent with the prediction. Supplementary material: 8 figures (generate_figures.py), 98 computational tests across 10 categories (supplementary_tests.py), complete LaTeX source.</p> |
| title | The ζ-Higgs Lagrangian: From Color Tensor Product to the Arithmetic Potential |
| topic | QCD confinement flux tube spectrum Riemann zeta zeros ζ-Higgs Lagrangian arithmetic string hadron mass spectrum Möbius sieve Landauer principle Bertrand postulate Hardy Z-function Bethe ansatz LeClair-Mussardo mass gap Yang-Mills |
| url | https://doi.org/10.5281/zenodo.19451865 |