The grid is a cubic cell lattice carrying the FCC even-parity sub-lattice: transactions
arm only on even-parity cells (x+y+z)&1==0. Each node owns QChannels=26
directional channels — one per Moore-stencil neighbor — mapped onto the rhombic-dodecahedral FCC
coordination cell (octahedral symmetry Oh).
| Channels | Role | Neighbors |
|---|---|---|
0–5 | face axes (±x ±y ±z) | 6 face neighbors, distance 2 |
6–17 | transport edges (packets fly here) | 12 edge neighbors, distance √2 |
18–25 | corner/structural registers | 8 corner neighbors, distance √3 |
The 12 edge channels are the only packet-flight channels — each points at an FCC nearest neighbor.
Bound structure (winding) lives on all 26 channels as directed pairs
(2e, 2e+1) — a forward/backward ledger per axis.
| Register | Type | Meaning |
|---|---|---|
winding[26] | u16 | committed traffic per direction — the structural ledger |
dd | derived | signed imbalance winding[2e]−winding[2e+1] — circulation direction |
packet[26] | u8 | free quanta in flight per channel (count) |
packetNu[26] | u8 | packet frequency — the arm/confirm energy |
packetBorn[26] | u8 | birth tick — age for decay/phase |
incip[26] | u8 | armed incipient transactions (offered, not yet confirmed) |
incipBorn[26] | u8 | incipient age → session maturity |
incipNu[26] | u8 | incipient energy + stim flag (bit7) |
mass | u16 | parked structural mass — condensed binding |
massFlight[26] | u16 | structural mass in transit (slugs) |
charge | i8 | parked signed charge register |
chargeFlight[26] | i8 | signed charge in transit (recoil) |
heat | u16 | thermal residue — the entropy ledger |
phase | u8 | Jacobi-relaxed scalar field (dead register — kept for compat) |
bondDist[8] | u8 | measured reach per edge pair — ACK-delivered bond memory |
≈220 B per node × double buffer. Vacuum cells are skipped via an 8³ chunk ledger.
One tick executes the following local phases in order, single-buffered into grid_next:
Every packet hops exactly one edge channel to its neighbor — the literal speed of light. Free quanta are dispersion-free; the front advances +1 hop per tick.
A packet arriving at an even cell arms an incipient transaction if it passes the gates:
catch gate, on-band line match (nu % line == 0, line = (mass + winding>>2)>>2),
phase gate, and channel occupancy. Off-band packets fly on and eventually decay to heat
(ev7).
Held incipients confirm (session maturity via incipBorn). The confirmed
nu splits three ways:
share = nu·vol_share>>8 — volumetric deposit onto the dominant member of
the top committed edges (direction-following)dep = nu − share — lands on the arrival pair, split by signed
dir_bias (>0 forward/travel, <0 toward the offerer)cnu = nu·chain_share>>8 — the chained re-offerThe dominant directed edge absorbs feed = dd·nu>>9 redirected from the
biased deposit member — momentum feeds circulation without minting winding. (Pre-fix this
term was added on top of the deposit — the pump that drove the dimer to 7.7M.)
The confirm re-offers a packet on the dominant-dd channel — the signal hops
node-to-node along the structure's own rail. The re-offer is funded by a surplus toll:
it draws only the margin above the pair's committed floor min(a,b). The bond is
protected; traffic pays for traffic.
Excited sites (level ≥ 2) shed a rung via site_unwind: with
res_emit=1 the packet carries nu = line (the site's own frequency —
resonant emission); else nu = shed>>1. Channel pick prefers bond → dominant-dd
(chiral/dipole emission) → random. A mass-bearing site instead condenses winding→mass when
mass×8 < Σ committed. The rule sets a 1:8 nucleation floor,
but competing thermodynamic rates (radiation shedding vs. condensation) drive the actual
equilibrium to ~1:3.4 (188/644).
String-break: a saturated >128 tube of ≥12 contiguous nodes fractures at the tube head — endpoints pair-produce mass + chargeFlight recoil. Mass-flight transport, charge drift, heat drain (−1/128/tick) close the tick.
Off-shell arming: the nu%line resonance gate moved from
arm to confirm — a packet arms an incipient without needing the receiver's gap;
settling still requires a real level. Armed-but-unconfirmed offers persist ~6 ticks
(incipBorn expiry), then pay Landauer dust to heat
on erasure. The standing-offer cloud is the substrate's field.
eff_dd — held-offer steeringEvery dominance pick (emission channel, conduction imbalance, chain re-offer,
internal routing, charge feed) reads effective dd = committed
winding imbalance + parity-weighted held offers
(incip × incipNu × incipPar). An unanswered offer steers routing —
influence without answer.
packetPar, incipPar)Emitted quanta carry ±1 parity = the sign of their channel's dd
(PAR_SIGN), merged by majority vote (PAR_MERGE). The deposit's
circulation direction reads the carried parity (dir_bias magnitude still sets the
split). Emission debits the emitter's dd by 1 per parity quantum —
the spin-flip ledger; flight-parity is censused by moore26_sum(9).
qParFlip lets a standing offer invert parity in the negotiation realm
(mass ↔ transaction density).
rail_gate)A node with a dominant member ≥ qRailGate is a rail: arriving packets
skip arming AND density decay (incl. the floor drip), and are re-channeled onto the
dominant member — the rail can turn; the stream rides the curve. On confirm, the
returning ack paves the rail: 1 committed winding unit redistributed
from the node's freest channel onto the return pair (conserved transfer).
Verified: 12 packets circulate a closed {111} rail loss-free for 2000t.
| Knob | Default | Measured effect (300t knot, dd) |
|---|---|---|
dir_bias | −256 | master switch — dd=12 at 0 vs ~245 at ±256 |
chain_share | 0 | volumetric routing share; with toll: mild drag (182→78) |
vol_share | 0 | volumetric deposit fraction; dilutes dd (259→25) |
commit_min | 32 | commitment floor; 128 kills dd entirely |
catch_gate | 8 | arm gate; 32 starves dd (227→86) |
confirm_cap | 16 | confirm rate cap; mild optimum at 4 |
fusion_wall | 256 | pair-production threshold from bare vacuum |
dd_shift | 2 | dd accumulation rate (163→240) |
bend_shift | 7 | impedance-gated turn cost |
rad_shift | 6 | bend radiation split (ev33) |
phase_gate | 64 | emission phase window |
res_emit | 0 | resonant emission nu=line (spectral closure) |
ground_floor | 512 | ground-state floor |
deflect_align | 128 | deflection alignment weight |
rail_gate | 0 | waveguide threshold; 64 circulates a {111} stream |
par_flip | 0 | incipient helicity-inversion rate (0-255) |
| Constant | Value | Status |
|---|---|---|
| v/c | 1.00 hop/tick | confirmed under locked rules |
| dimer binding locked | +219 dd → 519 plateau | conserved (surplus toll) |
| mass:bond locked | ≈1:3.4 (188/644) | flat 1000→5000t |
| fusion wall | 256 | pair-production threshold |
| string-break | ≥12-node saturated tube | 2·768+128=1664 exact ledger |
| charge recoil | ±8 (string-break) / ±75 (fusion) | process-dependent, not a quantum |
| closed-box conservation audited | 99.999% over 500t | vent=127 (designed h>>7 sink), dust=−5 register precision |