C window—
e min1 / 6
κ min1 / 36
κ max3 - 2√2
λλ scan support
λ min—
λ max1.000000
rangeλmin → 1
Global λ[√2 - 1, 1]
—
λλ band key endpoints
λ01 / √2
arc midpoints7
tier scanQ = 0, 1, 2
samples—
SScan status
StatusReady
Count—
tier scanQ = 0, 1, 2
λ scan supportλmin → 1
—
SRows generated
Forward bands—
Reverse rows—
Deviation rows—
Mean |Δmid|—
?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
e 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 = v(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
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
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]
CandidateOccc++
Flavourccc
Q/e+2
Spin-parity3/2+
Recovered seat[7, 7]
Step vector(4, 4, 4)
λ support shownλmin → 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 Occc++ 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.