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 I_chi 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 I_chi as a sum I_V5.34_F3 over the linkings Lk(K_i, K_j) of the components, weighted by their individual quantum dimensions. The result is purely topological: no calibration is performed. Result. Plugging I_V5.34_F3 into omega_chi = sqrt(F_torque / I_V5.34_F3) 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 c_min, c_mid, c_max). 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.

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Publication Details

Journal
Open MIND
Published
2026-06-17
DOI
https://doi.org/10.5281/zenodo.20733592
Primary Topic
Topological Materials and Phenomena
Type
preprint
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V5p28 — Collective chiral inertia via linking number (zero-free-parameter step of the TQNT oscillation closure)

Lilian Cariou
Open MIND
Topological Materials and Phenomena
preprint

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

Lilian Cariou
preprint en

Abstract

Within Topological Knot Quantum Theory (TQNT V5), V5p28 is the second step of the canonical oscillation series. It introduces a collective chiral inertia I_chi 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 I_chi as a sum I_V5.34_F3 over the linkings Lk(K_i, K_j) of the components, weighted by their individual quantum dimensions. The result is purely topological: no calibration is performed. Result. Plugging I_V5.34_F3 into omega_chi = sqrt(F_torque / I_V5.34_F3) 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 c_min, c_mid, c_max). 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.

Open MIND
Systématique, adaptation, évolution (FR)
Topological Materials and Phenomena
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V5p28 — Collective chiral inertia via linking number (zero-free-parameter step of the TQNT oscillation closure) — Lilian Cariou · Open MIND (2026) | TGRS Research Map | TGRS