What question did this study set out to answer?

This research aims to refine the understanding of collective chiral inertia using inter-component linking numbers in knots.

June 19, 2026Open Access

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

Key Points

This research aims to refine the understanding of collective chiral inertia using inter-component linking numbers in knots.
Reformulated collective chiral inertia as a sum of linking numbers weighted by quantum dimensions.
Improved upon prior model (V5p27) without introducing additional parameters.
Utilized torque equation to analyze the effects of linking-based inertia on particle behavior.
Achieved a 0.23 dex improvement in predictive accuracy over V5p27 using linking-based inertia.
Identified a residual gap of 0.8 dex that can be addressed in future work.
Established that linking-inertia alone is insufficient for capturing the complexity of heterogeneous meson triplets.

Abstract

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.

Read Full Paperexternally

Mark Helpful

Bookmark

Relay

View Full Paper