unworlding-involution

Derive frame-invariant self via involution dynamics in triadic agent observations.

60|13|Updated Dec 22, 2025
One-click install
npx skills add https://github.com/plurigrid/asi --skill unworlding-involution
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: unworlding-involution
Source: https://github.com/plurigrid/asi/tree/main/skills/unworlding-involution
Command: npx skills add https://github.com/plurigrid/asi --skill unworlding-involution

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Self-inverse derivation patterns where ι∘ι = id for frame-invariant self, demonstrating stable fixed points across perspectives.

Core Features & Use Cases

  • Involution principle: ι∘ι = id and frame invariance in triadic observer/generator setups.
  • Best-response dynamics: GF(3) conserved color dynamics leading to Nash equilibria.
  • Concrete demonstrations: demo data and code exemplifying fixed points and involution.

Quick Start

just unworlding-demo

Frequently Asked Questions about unworlding-involution

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do frame-invariant involution dynamics apply to multi-agent systems?

Frame-invariant involution uses self-inverse mappings (ι∘ι = id) to derive stable agent representations across different observer perspectives. Applied to triadic interactions, it models how agents converge to Nash equilibria while preserving behavioral invariances regardless of the observation frame.

What is GF(3) color conservation in best-response dynamics?

GF(3) color conservation enforces galois-field arithmetic constraints on agent state transitions during best-response interactions. This mechanism ensures that triadic agent dynamics maintain invariant properties while driving convergence toward equilibrium configurations.

Can I use involution principles to expose fixed points across perspectives?

Yes. Frame-invariant involution identifies fixed points that remain stable under perspective changes in triadic observer-generator setups. The self-inverse property guarantees that applying the transformation twice returns the original state, exposing invariant structures.

How do I get started with the 3-MATCH framework for triadic observations?

Run `just unworlding-demo` to execute concrete demonstrations of involution, best-response dynamics, and fixed-point extraction. The demo exemplifies how frame invariance and GF(3) color conservation operate in triadic agent interaction patterns.

What makes involution suitable for Nash equilibrium convergence?

Involution's self-inverse structure and frame invariance ensure that best-response trajectories in triadic systems stabilize at equilibrium points that are invariant across observer frames, avoiding perspective-dependent artifacts in convergence analysis.

Does this approach work with existing multi-agent frameworks?

This Skill has no external dependencies and integrates with the 3-MATCH gadget for pattern extraction and testing. It operates independently to derive frame-invariant self-representations from interaction dynamics without requiring external multi-agent libraries.