# Nashator Plurigrid Interleave

> NASHator omnichain × Plurigrid compositional-energy framing. Bridge triads (burn/wire/mint) as open games; GF(3) closure as energy balance; successor ontology Σ as ordered-locale DER composition; coop.hive + Fokker–Planck as transactive-energy dynamics; Namada PGF as recursive funding of the coordination layer.

- Skill: `plurigrid/nashator-plurigrid-interleave` (Agent Skill, multi-file: 2 files)
- Install (CLI): `npx skillmds@latest add plurigrid/nashator-plurigrid-interleave`
- Raw SKILL.md: https://api.skillmd.com/api/skills/plurigrid/nashator-plurigrid-interleave/raw
- Safety review: pending
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: plurigrid (https://skillmd.com/u/plurigrid)
- Updated: 2026-09-17
- Page: https://skillmd.com/skills/plurigrid/nashator-plurigrid-interleave

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# 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<NASH> / 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 with
- `catcolab-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

1. Can we prove colimit preservation of GF(3) closure in Narya ∞?
   (Candidate: extend `asi/skills/narya-proofs`.)
2. What's the closed form of Fokker–Planck stationary `p*(θ,g)` under
   monotone μ schedule? (Candidate: `coop_hive/ou_fit.py`.)
3. 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.)