IndisputableMonolith.Verification.QuarkSectorAudit
Audit module comparing two incompatible coordinate conventions for placing quarks on the Recognition Science phi-ladder. Convention A uses absolute rungs; Convention B uses residue classes. Records that generation spacing, reference points, and rung typing disagree, so no unified quark-sector mass map is proved yet. Cited by anyone checking whether the RS mass formula closes on u,d,s,c,b,t.
claimTwo quark coordinate schemes on the $\varphi$-ladder: Convention A assigns absolute rungs $r_q$; Convention B assigns residues modulo the generation spacing. The module records that the schemes use different references, different rung types, and unequal generation spacings, and that a reconciliation proof is not yet available.
background
Recognition Science places particle masses on a discrete $\varphi$-ladder via the mass formula yardstick $\cdot,\varphi^{r-8+\mathrm{gap}(Z)}$. Quarks are the hardest sector because light-quark masses are strongly renormalized and the three generations must sit on a single self-similar ladder forced by T6.
This verification module isolates two competing coordinate conventions that have appeared in RS drafts. Convention A works with absolute rung integers. Convention B works with residue classes relative to a generation period. The module also imports the RS-native constants layer ($\tau_0=1$ tick) so numerical accuracy checks can be stated in the same units as the rest of the monolith.
Sibling declarations flag concrete mismatches: different reference anchors, different rung-type interpretations, and unequal generation spacings. Accuracy predicates distinguish light-quark fits from skeleton-only (heavy-quark) fits.
proof idea
Definition and status module, not a proof module. It introduces the two convention types, a unified-sector placeholder, and propositional flags (different references, different rung types, generation-spacing mismatch, light-quark vs skeleton accuracy). A reconciliation-proof interface is declared and immediately witnessed as uninhabited (no_reconciliation_yet). No algebraic derivation is attempted; the file only records the audit state.
why it matters in Recognition Science
Quark masses are a required closure test for the RS mass ladder and the forcing chain (T5 J-cost, T6 $\varphi$, T7 eight-tick structure). Until the two coordinate conventions are either identified or one is discarded, claims that the ladder predicts $u,d,s,c,b,t$ remain conditional. The module therefore sits in Verification as a gate: downstream mass-spectrum theorems cannot honestly cite a unified quark sector while no_reconciliation_yet holds. No parent theorems currently import it (used_by empty); it is an audit checkpoint rather than a lemma feeder.
scope and limits
- Does not prove either convention equals measured quark masses.
- Does not derive generation spacing from T6 or the eight-tick octave.
- Does not supply a reconciliation map between rung and residue coordinates.
- Does not address CKM angles, confinement, or QCD running.
- Does not claim the audit is exhaustive of all RS quark drafts.
depends on (1)
declarations in this module (13)
-
inductive
QuarkConvention -
structure
UnifiedQuarkSector -
def
currentStatus -
structure
ConventionA_Rungs -
structure
ConventionB_Residues -
theorem
different_references -
theorem
different_rung_types -
theorem
generation_spacing_differs -
def
light_quark_accuracy -
def
skeleton_only_accuracy -
structure
ReconciliationProof -
theorem
no_reconciliation_yet -
theorem
quark_problem_blocks_full_verdict