Heavy-flavour Branching Ratios Derived From Discrete Three-ledger Rules on the Hqiv Null-lattice Carrier
Year: 2026
Type: article
Abstract: Heavy-flavour branching ratios are read out from discrete combinatorial rules on the fixed HQIV three-ledger null-lattice spine, using only the proved monogamy coefficient γ = 2/5, γ-rational CKM/OZI ledger weights, spine-discharge contacts, phase space, and normalization. Laboratory masses and PDG branching fractions enter exclusively in a quarantined comparison layer and never as inputs to partial-width formulas or open-flavour seed priors. The same upstream-derived discrete carrier that fixes the dynamic mass spectrum and weak widths in prior works generates the hidden quarkonium electromagnetic contact factor fEM = 1/γ + 1 + γ/2 = 37/10 as a theorem of the monogamy bookkeeping on the fixed carrier. With hadronic/radiative width pooling, the readout gives B(J/ψ → e+e−) ≈ 5.97% on the quarantined comparison layer. Programmatic channel generation: daughter pools, kinematic filter, ledger assignment, and property-generated spanning sets... produces 567 open-channel readouts with zero structural failures on the 81-witness suite; a curated panel of 17 channels lies within 3σ (mean 0.22σ, maximum 0.86σ) after Monte Carlo witness propagation. This note extends the three-ledger decay structure already used for nuclear β tipping [6] to open and hidden heavy flavour. The excited-state panel compares the global readout to 85 PDG-listed states beyond the ground π/K and baryon octets. The primary comparison metric is scale-free mass error: mean |∆|/M ≈ 0.14% (median 0.13%, maximum 0.52% on K∗0 from PDG isospin-averaging). Listed PDG mass uncertainties are often far smaller than the discrete readout resolution; raw listed-σ pulls are ill-posed on Type A rows. On the 11 rows whose listed σ exceeds 1% of mass (assignment-level spectroscopy bands), all 11/11 lie within 1σ under listed σ. Table 6 reports diagnostic ˜nσ = |∆|/ max(σ, 0.01M ); this floor is not a claim about experimental precision. Branching comparisons use Monte Carlo σpred with a 0.001 |B| floor in quadrature with PDG σref . Twenty-six HQIV-only rows appear as explicit, falsifiable predictions of the discrete carrier. This is a finite-patch readout calculation within a discrete ontology—a combinatorial derivation on the proved three-ledger carrier—not a derivation of continuum QCD matrix elements or differential spectra from the continuum Lagrangian.
Author: Ettinger, Steven Jr
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7165490258