CHAMBER CMB-III-GEO Geometry Isolation Layer — ℓ=2/3 Rotation Invariance PHASE 1 OF 3 GEOMETRY ONLY · NO STATISTICS v0.2.0 · Wigner-D passive ZYZ · STF + AngMom
scopeu2 + u3 extraction · rotation tests only
u2 methodSTF tensor · Fibonacci N=2000 · Jacobi eigen
u3 methodang-mom dispersion · Fibonacci N=4096 · max D₃
rotationpassive ZYZ · D = e−imα d(β) e−im′γ
conventionCondon-Shortley · HEALPix · flat schema supported
test Alocked rotation → θ₂₃ invariant
test Brelative rotation → θ₂₃ changes
tolerance AΔθ < 2.0° (grid resolution limit)
rng seed0x9E3779B9 (deterministic)
θ₂₃ ref~11.56° (Planck 2018)
DATA INPUT
aℓm JSON (ℓ=2,3) — flat or nested schema
Flat: {"2_0":[re,im], "2_1":[re,im], ...}
Nested: {"alm":{"2":{"-2":[re,im],...},...}}
RUN
ready — load lowell_alm.json then press RUN
PHASE MAP
◆ CMB-III-GEO v0.2.0 ← HERE
Wigner-D · u2 · u3 · θ₂₃ · rotation tests
◇ CMB-III-STAB v0.2.0
D_internal · K=32 perturbations · ε=1°
◇ CMB-III-FULL v1.0.0
φ · S(L) · R(L) · permutation test
No results — load lowell_alm.json and press RUN CMB-III-GEO