Omnisyndetic Geometric Classification Audit Tables — Deterministic Register Scan — Version 1.8

Omnisyndetic geometric classification audit

Deterministic register scan, forward mass-band tables, reverse catalogue recovery, and deviation audit.

View tier

Samples per tier

System status Engine ready Deterministic mode

⌁Coherence window

C window— ε min1 / 6 κ min1 / 36 κ max3 − 2√2

λλ scan support

λ min— λ max1.000000 rangeλmin → 1 Global Λ[√2 − 1, 1]

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◌λ band key endpoints

λ01 / √2 arc midpoints7 tier scanQ = 0, 1, 2 samples—

◎Scan status

StatusReady Count— tier scanQ = 0, 1, 2 λ scan supportλmin → 1

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ΣRows generated

Forward bands— Reverse rows— Deviation rows— Mean |Δ_mid|—

◇Audit result

PASS

Within band— Failures— Verificationrow-by-row

Reproduction protocol deterministic sequence of 18 steps

1Declareconstants

2Coherencewindow

3Solvecharge angle

4Buildλ intervals

5Declarearc midpoints

6Assignsamples / tier

7Computesector map

8Oppositearc twins

9Formdual-arc seat

10Rejectfails / rules

11Scan tiers& samples

12Stitchmass bands

13Print forwardmass-band

14Reversecatalogue

15Read sectorfrom seat

16Deviationtables

17Failurerules

18Verification

Declared constants

ε min1 / 6 κ min1 / 36 κ max3 − 2√2 Λ[√2 − 1, 1] λ01 / √2 λmax1

Coherence window (C)

00.250.500.751

C min0.842339 C max0.972604

Key equations

κ = a_dev² + r_dev² C = exp(−κ) D = √(1 − C) E_dir(λ) = 6 · IES · C / λ E_echo(λ) = Δ_div · α · (1 + D) · M0^(E) E_tot(λ) = E_dir(λ) + E_echo(λ)

R1 chargeR2 coherenceR3 arcsR4 dual seatR6 bandsR8 audit

Full rule key

Atlas of the classification board six-site return

Witness sites
six-site return Curvature ring
κ constant Arc twin
same-mass branch Band index
⟨L, U⟩ Seat index
Q-sector label Q = 0, 1, 2 · λ support: λmin → 1

Selected row inspector

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Name —

Seat —

Band — MeV

Δ_mid —

Recovered identity

Code—

Group—

Sector—

Flavour—

Contrast—

m*—

Intervals and bounds

Band min—

Band mid—

Band max—

λ supportλmin → 1

Formula chain and rules

λ* = arg min |E_tot(λ,Q) − m*| m* ∈ [E_min,E_max]

Rules usedR1–R9

AForward mass-band table stitched bands

BReverse catalogue table from PDG inputs

CCatalogue deviation table audit

DPredictive continuation outside primary PDG audit · Ωccc++ → ⟨7,7⟩

CandidateΩ_ccc⁺⁺

Flavourccc

Q/e+2

Spin-parity3/2⁺

Recovered seat⟨7, 7⟩

Step vector(4, 4, 4)

λ support shownλ_min → 1

Mass window4711.62–4850.98 MeV

This row is kept separate from the reverse PDG catalogue: the 56-row audit uses confirmed in-scope states, while Ω_ccc⁺⁺ is the forward predictive continuation returned at seat ⟨7,7⟩. In v1.5+ the forward scan retains the diagonal ⟨7,7⟩ row directly under global λ support.