A registered result in its source context

Original ledger classification: Identity/Numerical [I]/[N] (structural firewall)

Recorded statement: WITNESS-INDEPENDENCE / GENERATOR-ECONOMY AUDIT (2026-06-21): the STRUCTURAL anti-numerology firewall complementing the v100 phenomenological null test. [E] GENERATOR ECONOMY: 13 headline integers (|mu4|=4, g_car=5, |Z2|=2, N_fam=3, dim…

Statement, assumptions and sources

Paper context: Red-team audit

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WITNESS.ECON.01

Original ledger classification: Identity/Numerical [I]/[N] (structural firewall)

Original claim text

WITNESS-INDEPENDENCE / GENERATOR-ECONOMY AUDIT (2026-06-21): the STRUCTURAL anti-numerology firewall complementing the v100 phenomenological null test. [E] GENERATOR ECONOMY: 13 headline integers (|mu4|=4, g_car=5, |Z2|=2, N_fam=3, dim S+=16, rank E8=8, |R(E8)|=240, dim E8=248, |2I|=120, h(E8)=30, |W(D5)|=1920, Omega_adm=48, gap exponent 6) are all documented images of the single anchor a=(1,1,2) (e=(4,5,2), p_n=2+2^n; v23/v228), with pi the only transcendental primitive (ARCH.CORE.01) => 13 atoms / 2 free primitives = 6.5x compression made EXPLICIT; the recurring 2/3=|Z2|/N_fam and (2/3)^6 are ONE ratio, not many. [E] WITNESS INDEPENDENCE: E8, g_car and the anchor are overdetermined (>=3 structurally distinct derivations sharing only leaf inputs: v1/v15/v77+v92; v2/RR/reverse-glue), while the 5 pure-seed readouts (theta12/theta13/beta/Omega_b/lambda_C) are single-witness (multiplicity 1) = correlated, NOT 5 independent confirmations. [E] CORRELATION HONESTY: the 9 phi0-sharing scorecard observables must be scored JOINTLY (v100 fixes phi0 in MC-A), never as p^9. [E] NEG/POWER: alpha^-1's '137' is foreign to the anchor family (prime; no e_k/p_n/product) = an INDEPENDENT witness (F_U1 cubic, v3), and foreign integers stay un-generated (the map discriminates). Structural bookkeeping that quantifies the compression and correlation so neither masquerades as independent evidence; NOT a new physical claim and NOT a proof the anchor is forced (P2/v23/v228).

Original classification detail

[I]/[N] the generator-economy images + the 6.5x compression ratio + the witness-multiplicity bookkeeping + the shared-seed correlation map + the foreign-integer negative control. Makes the compression and correlation explicit; does NOT add physics and does NOT upgrade any status.

Dependencies as recorded

ANCHOR.GEN.01; REG.FREEZE.01; DATA.SCORECARD.01

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Location recorded in the ledger

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Red-team audit
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Sections that explicitly cite this claim

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2026-06-21 (adversarial-review follow-ups: a structural anti-numerology firewall, an out-of-sample seed cross-validation, an operational data watchdog, and the Target-A holomorphy kill test: v305– v307)Research changelog; TFPT — Introduction and reading guide

Navigation through a shared verification script

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Layer 3 — the over-determination map (multiply vs.\ compress)Verification safeguards
2026-07-01 ( v465 — the cross-sector one-parameter seed test: a CMB birefringence angle and a quark Cabibbo angle point to the same seed within [formula in source] , the [formula in source] -independent externally-runnable slice of v306)Research changelog; TFPT — Introduction and reading guide
2026-06-25 ( v428 — honest self-correction of the over-determination map)Research changelog; TFPT — Introduction and reading guide
Layer 2 — no free pattern, and the reverse auditVerification safeguards
OutcomeRed-team audit
2026-06-22 (the REVERSE numerology audit, and what the golden ratio means: of [formula in source] 's 8 Casimir invariants only [formula in source] feed a primary readout and [formula in source] are hull overhead; the golden ratio is UNMAPPED structure, so it cannot be numerology: v354)Research changelog; TFPT — Introduction and reading guide
Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
Summary — the layered defenseVerification safeguards

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Registered verification modules

v305_witness_independence.pyRegistered verification module · registry
Read the description recorded in the module registry
Witness-independence / generator-economy audit (structural anti-numerology firewall, companion to v100): every headline integer (4,5,2,3,16,8,240,248,120,30,1920,48,6) is a documented image of the single anchor a=(1,1,2) with pi the only transcendental primitive -> 13 atoms / 2 free primitives = 6.5x compression made explicit (the recurring 2/3=|Z2|/N_fam and (2/3)^6 are ONE ratio); E8/g_car/anchor are overdetermined (>=3 structurally independent witnesses), the 5 pure-seed readouts single-witness (correlated, scored jointly by v100); alpha^-1's 137 is foreign to the anchor family = an independent witness, so the map discriminates

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