V5p29 — Topological closure of the four neutral-meson oscillations K0, D0, B0, Bs0 at 0.1% (TQNT canonical series)
Within the framework of Topological Knot Quantum Theory (TQNT V5), neutral-meson oscillations L ↔ L* are not a flavour-mixing phenomenon driven by the SM CKM matrix (flavour is an SM bookkeeping artefact). They are tunnelling oscillations between a topological link L and its mirror L*, governed by a single chiral frequency omega_chi = sqrt(F_torque / I_chi). V5p29 closes the canonical series opened by V5p27 (mutual EM oscillation, reconception commit 402b8ce) and continued by V5p28 (collective inertia, zero free parameter, 0.820 dex). With two calibrated parameters (beta = -1.30, delta = -2.7715 — the latter derived from first principles in V5p31), V5p29 reaches Sum|log| = 8 × 10-4 dex on {K0, D0, B0, Bs0}. Canonical formula: omega_chi = sqrt(F_torque / I_chi), with I_chi = I_V5.34_F3 × (1 + beta · A_rel)_pairs × prod_{i<j<k}(1 + delta · |c_min + c_max - 2 c_mid| / c_mid). Two parameters (beta calibrated on the {K0, D0, B0, Bs0} set; delta exact = -4 ln d_{1/2}(k=135) = -2.7715 — see V5p31). Per-meson results vs PDG: K0: 3.484e-12 MeV (calibrated, log r = 0) D0: 6.252e-12 MeV vs PDG 6.250e-12 (log r = +0.0001, +0.03 %) B0: 3.333e-10 MeV vs PDG 3.334e-10 (log r = -0.0001, -0.04 %) Bs0: 1.167e-8 MeV vs PDG 1.169e-8 (log r = -0.0006, -0.14 %) Cross-system ratio Bs/B = 35.02 vs PDG 35.05 (-0.1 %) Honest accounting. beta is calibrated by minimising Sum|log| on the four-meson set; delta becomes first-principles via V5p31. K0 contributes exactly zero (it fixes J, and f_ijk(K0) = 0 by construction). The full first-principles derivation of beta from c_J(3_1) was attempted in V5p30 with ten methods — none reached the required precision; beta remains calibrated. Falsifiable predictions: (i) 4-component mesons with crossing triplets in arithmetic progression carry no three-body shift; (ii) mesons with extreme triplet asymmetry receive enhanced corrections of sign fixed by delta < 0; (iii) Bs/B = 35.02 is robust at the 0.1 % level under canonical knot assignments. Bundle contents: EN + FR LaTeX sources and PDFs of the consolidated V5p29 closure report; per-meson tables and cross-references to V5p27, V5p28, V5p30, V5p31, V5p32, V5p33 and the V5 monograph V5p7 v1.6.
Authors
- Lilian Cariou (ORCID: https://orcid.org/0009-0006-8276-4048)
Institutions
- Systématique, adaptation, évolution (FR)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-06-17
- DOI
- https://doi.org/10.5281/zenodo.20737627
- Primary Topic
- Quantum Chromodynamics and Particle Interactions
- Type
- preprint