V5p28 — Collective chiral inertia via linking number (zero-free-parameter step of the TQNT oscillation closure)

Within Topological Knot Quantum Theory (TQNT V5), V5p28 is the second step of the canonical oscillation series. It introduces a collective chiral inertia Ichi based on the inter-component linking numbers of a knot link L, with zero free parameter. Starting point. V5p27 (mutual EM oscillation) lifted the scalar-prefactor plateau (~1. 05 dex) to ~1. 05 dex via pair-wise EM coupling, but B0 remained mis-predicted because the pair coupling cannot capture the rotational moment of inertia of a heterogeneous link. V5p28 reformulates Ichi as a sum IV5. 34F3 over the linkings Lk (Kᵢ, Kⱼ) of the components, weighted by their individual quantum dimensions. The result is purely topological: no calibration is performed. Result. Plugging IV5. 34F3 into omegachi = sqrt (Fₜorque / IV5. 34F3) lowers Sum|log| to 0. 820 dex on K0, D0, B0, Bs0 — a 0. 23 dex improvement over V5p27 with no parameter added. The residual gap (0. 8 dex) is then closed by V5p29 via the three-body multiplicative renormalisation. Honest accounting. The 0. 820 dex plateau means that linking-based inertia alone is insufficient: it captures the bulk of the meson hierarchy but misses the fine structure of heterogeneous triplets (asymmetric crossing counts cₘin, cₘid, cₘax). The V5p29 paper (calibrated beta, delta) closes the residue; V5p30–V5p33 derive the parameters from first principles. Bundle contents. EN + FR LaTeX sources and PDFs of the V5p28 collective-inertia paper; per-meson tables vs PDG; references to V5p27, V5p29, V5p33 weight system and the V5 monograph V5p7.