Discrete Topological Torsion Theory: Standard Model Overdetermination Tally (DTTT BATCH-2.2 SM-TALLY)

SM-Tally is the corpus-wide overdetermination scorecard of the Discrete Topological Torsion Theory (DTTT) research program. Where the per-constant papers (BATCH-2. 1 ALPHA, BATCH-2. 3 HIGGS-MASS, the BATCH-3 sub-papers) each derive a single dimensionless Standard Model parameter from the DTTT substrate (a Cosserat-elastic medium with quaternionic-valued microrotation field ω ∈ ℍ, with trefoil-knot topology T (2, 3) on the ℝℙ³-ambient projective layer; see), SM-Tally's role is to certify that those individual derivations cohere as an overdetermined tally, to commit to falsifiable forward statements about that coherence, and to enumerate honestly what is not yet derived. Structural content. (a) Census stratification at the SM-26 canonical bar (3 gauge couplings + θQCD + 2 Higgs sector + 9 charged-fermion masses + 3 neutrino masses + 4 CKM + 4 PMNS) per F-447/F-448 (session 111): 5 of 26 DERIVED-or-better, 12 of 26 (≈ 46%) DERIVED-form-or-better; θQCD = 0 at THEOREM tier, sin²θW = 3/13 and the αₛ leading β-function coefficient b₀ = 9/ (4π) at DERIVED tier, α⁻¹ = 4π³+π²+π at FORCED-FORM + THEOREM-c₃ + AXIOM- (1, 1) -INPUT tier (see). (b) Extended-catalogue count of ≈ 33 of SM-26 + 18 structural constants matched at various confidence levels per Block 44. 27, with the multi-route convergence diagram explicitly distinguishing structural multi-route entries (D-PIS-13 routes) from computational lensing entries. (c) Honest-residue ledger including the one un-derived dimensionless SM-26 entry sinθ₂3CKM (equivalently Wolfenstein A; Block 44. 54 + Block 44. 62) with the current 3. 18σ PDG-vs-DTTT tension explicitly catalogued (DTTT predicts A = 1 − 2/ (3π) = 0. 7878; PDG 2024 A = 0. 826). (d) Methodology discipline: F-346 anti-numerology audit at every entry; L41 substrate-discrimination disclosure (the tally is ℍ-valued Cosserat-microrotation specific, not pattern-matched) ; D-PIS-13 lenses-vs-routes register; tier-discipline per V5 Methodology Ch. 8 with no auto-promotion (§A. 14 of Block 44. 202 canonical anchor). Predictions and falsifiers. The paper carries three load-bearing forward predictions (LOCK-3 Option C;): P1 — at least 30 tallied entries survive a 5-year experimental update window (2026–2031) with their DTTT overdetermination intact; falsifier = systematic drift in ≥ 5 parameters beyond DTTT ranges. P2 — sinθ₂3CKM reaches binary outcome: either DERIVED via Reidemeister–Turaev cascade on T (2, 3) holonomy lifts in, or explicitly identified as HN with disclosed reason; falsifier = Wolfenstein A tightened by PDG to > 0. 85 at > 3σ with no DTTT route. P3 — the Higgs identity mH = e^4/9⋅MW = 125. 245 GeV (current 0. 09% residual versus PDG) survives the next two ATLAS+CMS Run-3 high-luminosity combined-fit releases (anticipated 2026–2028) within the released uncertainty bands; falsifier = central value drifts outside 124. 7, 126. 0 GeV at > 2σ (see for the per-paper derivation). Dependency on BATCH-1. The substrate axiom, 5-tuple operator algebra finality, 14-layer hierarchy and α-assembly identity are inherited from BATCH-1. 1 FOUNDATIONS-SYNTHESIS () ; the axiom statement and Hurwitz-closure finality argument are inherited from BATCH-1. 2 AXIOMS () ; the publication-cascade convention is inherited from BATCH-1. 3 MANIFESTO (). All cross-paper references are by DOI macro, not by paper number, per Block 44. 202 LOCK-1. Status. Tier-β (Block 44. 202 publication-phase classification): canonical paper source (26 TeX files, 10 PDFs, 155 MD notes, 64 Python verifiers, 18 JSON metadata) is content-complete, but the figures column is the major outstanding gap — 0 figures in the canonical source as of bundle assembly (Block 44. 202). Recommended figure dispatch (see STATUS. md): (i) SM-26 parameter coverage chart (tier-stratified bar chart by sector) ; (ii) overdetermination histogram (count of tallied entries by tier, with multi-route vs lensing breakdown) ; (iii) 5-year survival-clock visualization for P1. Citation TIER-0 baseline cleared. Honest-residue register reconciled across the SM-26 census. T8 external-LLM audit pending (user-side cross-validation).