SPEC 001 · Revision A
The 47-dimensional invariant.
Kartekeya is the E47 spectral coprocessor for V₂⊗³. This lab runs the exact finite algebra: selector K = (C−6I)(C−30I), kernel rank 47, coherence fraction 47/125, and the Richardson filter that contracts every off-kernel mode by 15/17 per step.
Ωc
0.376
47/125
dim ker K
47
of 125
ρ*
0.882353
15/17
ε*
1/99144
Richardson
Live carrier
cycle 0r⊥ 0.8334w(E47) 30.5504%Q4.28 Δ 1.207e-8
Construct
V = V₂⊗³, dim 125. Total Casimir C = J_tot² has spectrum {0, 2, 6, 12, 20, 30, 42}. The selector annihilates J = 2 and J = 5, leaving E₄₇ = E₆ ⊕ E₃₀. Discrete dynamics Γ_ε = I − ε K² with ε* = 1/99144 is strictly contractive on the complement: ‖Γⁿ − P₄₇‖ = (15/17)ⁿ.
J=0 dim 1J=1 dim 9J=2 dim 25J=3 dim 28J=4 dim 27J=5 dim 22J=6 dim 13
Open the bench
μ⁺_min = 11664 · μ_max = 186624 · Ωc = 0.376 · hardware clocks and phonon lock are SPEC targets (H0/S0), not measured silicon.