HDGL Manifold - Physical Infrastructure - eta from Omega x (1-delta) - D_n from Code

Hot z=0 - 4 shells - 3 threads - Tesla-valve
Cold z=-2 - pi-flip - counter-flow
Toroid n=4 - X(-1)=0 null gate - Omega=0.722
Hot coil CW - 8 turns
Cold coil CCW - counter-flow
Particle speed driven by Omega(r_h) per shell

eta = Omega x (1-delta) - from hdgl_analog_v33.cu

D_n = sqrt(phi x F_n x 2^n x prod_Pk) [gra_rn_closed]
Omega(r_h) = (1 + sin(pi x {Lambda_phi} x phi)) / 2
delta(i) = |cos(pi x beta x phi)| x ln(n+2) / phi^(n+beta)
eta_n = Omega_n x (1 - delta_n) -> eta_mean = 0.8219
n=5 r_h=773 cells=5 eta=0.9899
n=6 r_h=4988 cells=6 eta=0.8335
n=7 r_h=37074 cells=6 eta=0.9999
n=8 r_h=290471 cells=6 eta=0.5707
Toroid n=4 r_h=128 (null gate) eta=0.7154 (gate)
eta_mean (shells) 0.8219 = 82.2%

Live Shell State

Shell / mode n-
GRA r_h = D_n(raw)-
Lambda_phi depth-
Omega resonance-
delta(i) correction-
eta_n = Omega x (1-delta)-
S(p) resonance score-
T-steps T(X)=1+1/X to phi-
eta = Omega x (1-delta) from the kernel code, not classical physics. Omega=1: shell at resonance node of L. delta=0: classical limit, 1_eff=1. eta=1: perfect resonance, no correction needed.

Toroid n=4: Omega=0.722. Low by design - it is the X(-1)=0 null gate. Destructive interference zone. Hot and cold meet here and annihilate before N(Phi^-1) in {-1,+1} routes exit.

eta_mean 82.2% across n=5..8. n=7 is near-perfect (Omega=0.9999, eta=0.9999). n=8 drags the mean (Omega=0.571). Repositioning to r_h~37994 (Omega=0.981) would raise eta_mean to ~92%.