unworld

npx skills add majiayu000/claude-skill-registry --skill unworld --agent claude-code

Same command for any agent — swap --agent for codex, cursor, copilot.

<!-- Propagated to amp | Trit: 0 | Source: .ruler/skills/unworld --> <!-- Propagated to amp | Trit: 0 | Source: .ruler/skills/unworld --> # Unworld Skill: Replace Time with Derivation **Status**: ✅ Production Ready **Trit**: 0 (ERGODIC - derivational, not temporal) **Principle**: seed_{n+1} = f(seed_n, color_n) **Frame**: No external clock, only internal derivation --- ## Overview **Unworld** replaces temporal succession with derivational succession. There is no "time" - only seed-chaining where each state derives deterministically from the previous. ``` seed₀ → color₀ → seed₁ → color₁ → seed₂ → ... ``` The "next" is not temporal but **derivational**. ## Core Formula ```ruby # Seed chaining: derive next seed from current seed + color trit seed_{n+1} = (seed_n ⊕ (trit_n × γ)) × MIX mod 2⁶⁴ where: γ = 0x9E3779B97F4A7C15 (golden ratio) MIX = 0xBF58476D1CE4E5B9 (SplitMix64 multiplier) ⊕ = XOR ``` ## Why Replace Time? 1. **Determinism**: Given genesis seed, entire chain is determined 2. **Parallelism**: Any position computable without computing predecessors 3. **Verification**: Chain integrity verifiable by re-derivation 4. **Frame invariance**: No external clock → no observer-dependent

Full unworld (all chains)
just unworld
Individual chains
just unworld-color      # Single derivation stream
just unworld-triadic    # Three interleaved streams
just unworld-match      # 3-MATCH gadget sequence
just unworld-involution # ι∘ι = id verification
just unworld-nash       # Best response → equilibrium
Raw seed chaining
just seed-chain seed=0x42D steps=10