no_reconciliation_yet
plain-language theorem explainer
No mathematical reconciliation currently exists between the two quark mass coordinate conventions (integer rungs versus quarter-ladder residues). Auditors of the fermion mass pipeline cite this as the honest blocker status. The proof is the trivial inhabitant of True, recording absence rather than deriving a positive identity.
Claim. It is currently true that no reconciliation proof equates the canonical integer-rung quark mass law $m = \mathrm{yardstick}(\mathrm{Sector})\,\varphi^{r-8+\mathrm{gap}(Z)}$ with the quarter-ladder hypothesis $m = m_e^{\mathrm{struct}}\,\varphi^{R}$ ($R\in\tfrac14\mathbb{Z}$).
background
The Quark Sector Audit module records the main blocker to an end-to-end mass-framework verdict: two coexisting quark coordinate systems that are not mathematically equivalent and have not been fused into one forward pipeline.
Convention A (canonical core) uses integer rungs from cube geometry, with formula $m = \mathrm{yardstick}\times\varphi^{r-8+\mathrm{gap}(Z)}$, rungs ${4,15,21}$ for both up- and down-type, and sector yardsticks from the counting layer. Convention B (hypothesis module) places quarks on a quarter-integer $\varphi$-ladder relative to the electron structural mass, with PDG-tuned residues such as top $=23/4$, bottom $=-8/4$.
The companion reconciliation module states explicitly that the two conventions are not meant to be equivalent. Until one non-circular, parameter-free quark pipeline matches the lepton chain, "correct for all fermions" is not defensible. Related status strings elsewhere (RS-native units, gap-45 derivation, discrete Lichnerowicz) track other closed or open sectors; this declaration is the quark-side honesty bit.
proof idea
Term-mode proof of True by trivial. No lemmas are applied. The body is a status comment: the reconciliation module documents the gap and does not close it. The theorem exists only as a machine-checkable flag that no equating proof has been supplied.
why it matters
Inside Recognition Science, lepton masses sit on a clean $\varphi$-ladder with yardstick and gap structure forced by the T0–T8 chain and the mass formula $\mathrm{yardstick}\times\varphi^{\mathrm{rung}-8+\mathrm{gap}(Z)}$. Quarks do not yet share that footing. This declaration is the audit marker that prevents overclaiming a fully correct fermion mass framework.
Downstream impact (module note): the quark dual-coordinate problem means the mass-framework verdict cannot be "fully correct." No parent theorem currently consumes the flag (used_by is empty); it is a leaf status fact for human and CI auditors. Closing path would be one of the three mutually exclusive resolutions sketched in the module doc: retire Convention B, derive B from A without PDG targets, or replace both by a single geometric coordinate system.
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