ANTMUX-X72 Bridge

VEXAGON OVS v3.0 · 12-channel ordered Givens coupling · 479,001,600 orders sampled, never enumerated

unitary · ±θ locked

Input Z · 12 channels

N10.29
N20.29
N30.29
N40.29
N50.29
N60.29
N70.29
N80.29
N90.29
N100.29
N110.29
N120.29
‖Z‖1.0000

Ordered coupling · 12 nodes + hub

HUBB_i · HASH-ONLYN10.13N20.29N30.29N40.39N50.29N60.29N70.29N80.29N90.29N100.29N110.29N120.29
G(N4, N10, ±0.45)step 1/11 · route #0 · seed 1337 · aac77b0a

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

Z_G49.5Hz

C(+θ) Z · saturn lock

10.13
20.28
30.29
40.22
50.29
60.46
70.29
80.29
90.29
100.26
110.28
120.29

‖·‖ 1.0000

Z_D174Hz

C(−θ) Z · venus overlay

10.39
20.29
30.29
40.25
50.29
60.18
70.29
80.29
90.29
100.31
110.28
120.29

‖·‖ 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 residual
N10.26-0.13
N20.29-0.00
N30.29-0.00
N40.23-0.01
N50.29-0.00
N60.320.14
N70.29-0.00
N80.29-0.00
N90.29-0.00
N100.28-0.02
N110.28-0.00
N120.29-0.00
reconstruction exactmax |G − (B+A)| = 2.78e-17 · max |D − (B−A)| = 5.55e-17

B_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

input norm‖Z‖1.0000
saturn branch‖Z_G‖1.0000
venus branch‖Z_D‖1.0000
center norm‖B‖ · drives V-Coin0.9819
residual norm‖A‖0.1896
center retention‖B‖ / ‖Z‖ measured0.9819
energy account‖B‖² + ‖A‖² vs ‖Z‖²1.0000 / 1.0000
mixing efficiencyentropy / ln 121.000 → 0.953

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.

honeycomb coupling · livedomains → channels 11/12 non-lockedintegrity 100%sync 0%core ‖B‖ 0.992 GB → 0.9920 Vledger 3,334,544.14 Vflow clean

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.

Citation & scope · ANTMUX-X72

experimental module

Experimental mathematical / software architecture — as of 20 Sept 2026.

Implemented as software math only. It does not claim biological, religious, neurological, or physical law. Every figure on these pages is a pure function of the seed, the angle and the input state.

◈C(θ) is the ordered product of Givens rotations over a 12-channel state vector Z.

◈Route space is exactly 12! = 479,001,600 orderings, sampled deterministically — never enumerated.

◈Stereo-Z: Z_G = C(+θ)Z and Z_D = C(−θ)Z from the same input on the same tick. Conservative / unitary.

◈Da'at layer: B_i = (G_i + D_i)/2 center, A_i = (G_i − D_i)/2 residual; G_i = B_i + A_i and D_i = B_i − A_i reconstruct with no loss.

◈Mapping: B_i → center hub (hash-only proof of transit), A_i → the twelve peripheral eyes; G_i → Saturn 49.5Hz lock path, D_i → Venus 174Hz overlay path.

◈V-Coin accounting runs off the B_i norm at 1 V = 1 GB transit.

◈Honeycomb coupling: each pair rotates by θ · (1 + (m_i + m_j)/2), where m is the live domain state of the two channels in that pair — all eyes open reproduces C(θ) exactly, and every rotation stays orthogonal.

channels 12route space 479,001,600saturn 49.5Hzvenus 174Hzcassiel lock 900sobserve mode · hash-only