CHAMBER CMB-III-FULL v1.2.0 — Phase 3 Integration

rotationpassive ZYZ — locked, inherited from GEO v0.2.x

P1000 permutations (frozen)

seedseed_full = geo_seed ^ 0xC0BF00D

randomizationphase_randomize_conjugate

φphi_v1 — |u₂·u₃| quadrupole-octopole alignment

S(L)C_L/(2L+1) normalized angular power

R(L)C_L/C₂ power ratio vs quadrupole

α0.05

DATA INPUT

A — GEO EXPORT JSON · CMB-III-GEO v0.2.x

no file

B — STAB EXPORT JSON · CMB-III-STAB v0.2.0

no file

C — RAW aℓm JSON · ℓ=2,3 required · ℓ=4,5 optional

no file

PROTOCOL (FROZEN)

P1000

α0.05

randomizationphase_randomize_conjugate

seed chaingeo_seed ^ 0xC0BF00D

L values[2, 3, 4, 5]

φ idphi_v1

INVARIANT STATUS

CONVENTION SEED STAB PASS θ23 RECHECK

convention—

geo seed—

stab seed—

stab pass—

θ23 (geo)—

θ23 (recheck)—

Δθ23—

COMPUTATION LOG

φ — QUADRUPOLE-OCTOPOLE ALIGNMENT · phi_v1

—

φ = |u₂ · u₃| = |cos θ₂₃| · range [0, 1]

AWAITING RUN

φ NULL TEST (P=1000)

φ observed—

null mean—

null σ—

null min/max—

effect size d—

magnitude—

z-score—

p-value—

p SE—

p 95% CI—

verdict—

S(L) — NORMALIZED ANGULAR POWER

S(L) = C_L / (2L+1) = Σ_m |a_{Lm}|² / (2L+1)

L	S(L) obs	null μ	null σ	d	p	verdict
awaiting run…

R(L) — POWER RATIO VS QUADRUPOLE

R(L) = C_L / C₂ (L=2 → R=1 by definition)

L	R(L) obs	null μ	null σ	d	p	verdict
awaiting run…

NULL DISTRIBUTION SUMMARY

awaiting run…

IMPORTS — GEO

chamber—

version—

θ₂₃—

u₂ axis—

u₃ axis—

rng_seed—

overall_pass—

IMPORTS — STAB

chamber—

version—

D_internal—

K—

ε—

convention—

overall_pass—