unworlding-involution

npx skills add majiayu000/claude-skill-registry --skill unworlding-involution --agent claude-code

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

# Unworlding Involution Skill **Status**: ✅ Production Ready **Trit**: 0 (ERGODIC - self-inverse) **Principle**: ι∘ι = id (involution is its own inverse) **Frame**: Invariant under observation --- ## Overview This skill demonstrates **unworlding** - extracting frame-invariant self-structure from interaction dynamics. The key insight: > **Unworlding** = Observing structure without caring about evaluation context The **involution** ι: Self → Self satisfies ι∘ι = id, meaning: - Apply once: transform to "other" perspective - Apply twice: return to original (fixed point) ## Core Concept: Frame-Invariant Self In a 3-MATCH task, three agents observe each other. The **best response dynamics** converge to a Nash equilibrium where each agent's color is the best response to the others. ``` Agent A observes (B, C) → best response → Color A' Agent B observes (C, A) → best response → Color B' Agent C observes (A, B) → best response → Color C' Fixed point: (A', B', C') = (A, B, C) when GF(3) conserved ``` The **frame invariance** means: regardless of which agent you ARE, the dynamics look the same. This is the "self" that persists across frames. ## Involution Structure ```ruby # The involution: ι

Run unworlding demo
just unworlding-demo
Test involution (ι∘ι = id)
just involution-test
Best response dynamics
just best-response seed=1069
Full 3-MATCH with unworlding
just three-match-unworld