-д хадгалсан:
| Үндсэн зохиолч: | |
|---|---|
| Формат: | Recurso digital |
| Хэл сонгох: | Eн |
| Хэвлэсэн: |
Zenodo
2026
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| Нөхцлүүд: | |
| Онлайн хандалт: | https://doi.org/10.5281/zenodo.19451865 |
| Шошгууд: |
Шошго нэмэх
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
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Агуулга:
- <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>