Coverage-first audit release demonstrates improved mass geometry for mesons using PDG features.
This release (v16.6) extends the Two-Energy Theory (TDE) “octant ladder” mass geometry: a discrete lattice built from fixed hardware constants k = 4π + 1 and the fine-structure constant α, defining energy quanta E1 = α^(-1)/4, E0 = k·E1, and E2 = E1/k. Hadron masses are represented on a quantized grid M = A·E0 + B·E1 + C·E2 with A,B ∈ 0.5·Z and integer C. The forward map F assigns (A,B,C) using only PDG features (quark content, charge, J^P, and state labels such as 1S/2S/1P where available). Mass values are not used as inputs; reverse-lookup to the nearest lattice node is provided for diagnostics only. Compared to v16.5, v16.6 increases forward coverage by adding a class-based rule for heavy–light P-wave (L=1) mesons (D0*, D1, D2*; B2*, Bs2*), and hardens the quark-content parser to prevent accidental family misclassification from free-form PDG strings (e.g., “Maybe non-qq”). Audit summary (PDG-derived table, N=527):- Forward covered-set: 96 states (coverage 18.22%)- Covered-set error: MAE 4.616 MeV, RMSE 5.891 MeV, MAPE 0.234% This “coverage-first audit” is intended to be falsifiable: rules are defined from labels/quantum numbers, then evaluated against the PDG reference masses.
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Michał Karol Surowiecki (2026) studied this question.
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