plurigrid nashator-plurigrid-interleave
Trit: 0 (wire — this skill is the wire between NASHator engineering and Plurigrid categorical semantics).
Thesis
NASHator is the first production Plurigrid instance. Each bridge transfer is an open-game tick carrying a GF(3) charge; the bridge network is an ordered locale of DERs (NASH supply on each chain) coordinated by a transactive market (coop.hive) whose payoff is the energy-balance conservation bonus.
Map
| Plurigrid primitive | NASHator realization |
|---|---|
| DER | NASH on Base/Aptos/Solana/Namada |
| Nexus node | Wormhole NTT + IBC relayer + :9999 indexer |
| Transactive energy market | coop.hive (PufferLib env + OpenSpiel solvers) |
| Arena CRDT | Namada MASP as commutative privacy merge |
| Open game (Hedges–Ghani) | bridge tick X → Y with R = β·μ(g) or −κ |
| Compositional energy balance | Σ trits ≡ 0 mod 3 per triad, additive across composed triads |
| Ordered locale | successor ontology Σ : Ω_n ↦ Ω_{n+1} |
| Autopoietic ergodicity | Fokker–Planck stationary p*(θ, g) |
| Capability security | MintCap / multi-ed25519 / MASP spending key |
| Public-goods funding | Namada PGF → Tenderloin Fund, closure-rate gated |
Source of truth
~/i/nashator-omnichain/spec/:
Gf3.juvix— Trit type,sumMod3,conserved,coherenceOk.PayloadLayout.juvix— byte-exact 114-byte NTT payload spec.Gf3Test.juvix— conservation + coherence vectors.diff_harness.clj— runs vectors against Move / Sol / Rust / VampIR.
Juvix compiles to Geb (topos model); same source targets VampIR (Taiga circuits), and hand-ports to Move + Solidity are verified by the diff harness. One truth, many runtimes.
Composition preserved
Claim (proved per-triad, extended by colimit):
Σ_i trits(leg_i) ≡ 0 mod 3 (local)
⇒ Σ_i trits over (T_a ⊗ T_b) ≡ 0 mod 3 (parallel)
⇒ Σ_i trits over colim Ω_n ≡ 0 mod 3 (global)
i.e. energy doesn't leak at composition boundaries.
GF(3) triads this skill closes
nashator(0) ⊗ gehirn-neural-regulatory(0) ⊗ catcolab-regulatory-networks(−1)— wait, three zeros + one −1 ≠ triad. Correction: this skill (0) pairs withcatcolab-regulatory-networks(−1) ⊗ nashator-plurigrid-interleave(0) ⊗ bci-phenomenology(+1)— sums 0 mod 3 ✓crn-topology(−1) ⊗ nashator-plurigrid-interleave(0) ⊗ alife(+1)— 0 ✓
So the interleave inherits the wire slot in the same triads where
catcolab-regulatory-networks sits as inhibitor.
Practical hooks
boris-hedges— export bridge tick as Hedges–Ghani open game; import coop.hive PSRO population as the strategy space.zig-syrup/src/propagator.zig::neurofeedback_gate— take GCP trit as parallel entropy source alongside BCI.monad-bayes-asi-interleave— RMSMC posterior over GCP latent coherence feeds solver policies via the fund-signal channel.catlab-asi-interleave— ACSets express the signed-graph double theory shared with regulatory-networks + gehirn.
What this skill is not
- Not an endorsement to post / promote the Solana pump.fun mint
4DQsMSkeKc3Mcij1BE4Z8oqU3QeV45QQ3Psn3CNDpump(registered as a tracked leg in T₁ only; no market-making, no marketing). - Not a claim that GCP 2.0's "collective consciousness" hypothesis is validated — treated strictly as a public entropy channel with declared noise model.
- Not a coordination-inauthentic-behavior enablement layer — Plurigrid's capability discipline explicitly excludes sockpuppet dynamics.
Open questions
- Can we prove colimit preservation of GF(3) closure in Narya ∞?
(Candidate: extend
asi/skills/narya-proofs.) - What's the closed form of Fokker–Planck stationary
p*(θ,g)under monotone μ schedule? (Candidate:coop_hive/ou_fit.py.) - When is the Namada PGF closure-rate gate itself an open game, not just a measurement? (Candidate: Hedges morphism from indexer strategy space to payout space.)