Input Z · 12 channels
Ordered coupling · 12 nodes + hub
order · 1·4·10·11·2·3·12·8·9·7·5·6
mapping · B_i → hub (hash-only) · A_i → N1–N12 eyes · G_i → 49.5Hz lock · D_i → 174Hz overlay
Stereo-Z · bilateral source
C(+θ) Z · saturn lock
‖·‖ 1.0000
C(−θ) Z · venus overlay
‖·‖ 1.0000
unitary check · ‖Z_G‖ − ‖Z_D‖ = 0.00e+0 → both branches conserve the input norm on the same tick.
Da'at layer · center / differential
B_i center A_i residualB_i = (G_i + D_i)/2 · A_i = (G_i − D_i)/2 → G_i = B_i + A_i · D_i = B_i − A_i · reversible, no loss.
Live invariants
θ = 0.45 · 12 channels · the center mode carries cos θ of the coupled pair and the residual carries sin θ, so ‖B‖² + ‖A‖² returns the input energy per pair. Retention above is measured on this state, not assumed.
N1
TIME
0.29
N2
TIME
0.28
N3
TIME
0.27
N4
TIME
0.29
N5
TIME
0.30
N6
TIME
0.27
N7
LOCK
0.26
N8
TIME
0.31
N9
TIME
0.29
N10
TIME
0.29
N11
TIME
0.29
N12
TIME
0.30
each pair's angle is θ·(1 + m) where m is the mean domain state of the pair — all eyes open reproduces the plain ordered coupling exactly. Hash-only proof of transit — the center hub.
ordered coupling · route 0 of a 1·4·10·11·2·3·12·8·9·7·5·6 order · every value is a pure function of Z, θ and the seed
Based in part on ANTMUX-X72 by Gabriel St-Pierre — DOI: 10.5281/zenodo.22865069. Additional implementation and modifications by Dominion Log / Nicholas Marchesi.