What is 'Unworlding' in the context of this skill?

Unworlding is the process of observing and extracting invariant structure from interaction dynamics while ignoring the specific evaluation context.

How does this skill handle color dynamics?

It uses GF(3) conservation to ensure that in a triadic system, the sum of color trits is conserved, creating a stable Nash equilibrium (triadic harmony).

What does the involution principle ι∘ι = id signify?

It means the transformation is its own inverse; applying the logic once shifts to an 'other' perspective, and applying it twice returns you to the original fixed point.

What is the benefit of frame invariance for AI coding?

Frame invariance ensures that logic remains consistent regardless of which agent or perspective is being modeled, allowing for more robust multi-agent simulations.

Unworlding Involution Logic

Name: Unworlding Involution Logic
Author: plurigrid

byplurigrid

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開発者ツール

Implements frame-invariant self-inverse patterns and triadic color dynamics using mathematical involution.

Unworlding Involution provides a specialized framework for extracting invariant structures from complex interaction dynamics by leveraging the principle of involution (ι∘ι = id) and GF(3) conservation. This skill enables Claude to maintain stable identity and 'self' across different observational frames, particularly in triadic systems and 3-MATCH games. It is highly effective for developers working with game theory, complex system modeling, and hierarchical control systems based on Perceptual Control Theory (PCT) to ensure fixed-point convergence in multi-agent environments.

主な機能

01Extracts frame-invariant structures from interaction dynamics

02Calculates 3-MATCH color equilibria via GF(3) conservation

03Identifies fixed points for Nash equilibrium simulations

04Implements self-inverse derivation patterns where ι∘ι = id

05Models hierarchical control using Perceptual Control Theory (PCT)

067 GitHub stars

ユースケース

01Modeling stable multi-agent systems where perspectives must remain consistent across frames

02Designing recursive system logic that requires self-correcting or self-inverse transformations

03Generating triadic color harmonies and balanced UI palettes using mathematical conservation

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi unworlding-involution

For use in Claude.ai and ChatGPT

Download Skill