What are the applications for GF(3) conservation?

It is used to maintain balanced states in triadic systems, such as ensuring agent interactions in a '3-MATCH' game reach a stable Nash equilibrium.

How does the involution principle work?

It utilizes the mathematical property where applying a transformation twice returns the system to its original state (ι ∘ ι = id), ensuring consistency across perspective shifts.

What is 'unworlding' in this context?

Unworlding is the process of extracting frame-invariant structures from interaction dynamics, allowing the system to observe structure independently of its specific evaluation context.

How does this relate to Perceptual Control Theory (PCT)?

It implements hierarchical control where each level controls its own perception by minimizing the error between a reference value and what is observed, rather than simply controlling outputs.

Unworlding Involution Dynamics

Name: Unworlding Involution Dynamics
Author: plurigrid

byplurigrid

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Developer Tools

Implements frame-invariant self-inverse logic patterns and best-response dynamics for complex system modeling.

About

The Unworlding Involution skill provides Claude with a specialized framework for extracting and applying frame-invariant structures from interaction dynamics. By utilizing the mathematical principle of involution (ι ∘ ι = id), it enables the modeling of systems that remain stable across perspective shifts. This skill is particularly effective for developers and researchers working with game theory, Nash equilibria, triadic color spaces, and hierarchical systems based on Perceptual Control Theory (PCT).

Key Features

Triadic color space and Nash equilibrium calculations
Frame-invariant pattern extraction (Unworlding)
2 GitHub stars
GF(3) conservation for best-response dynamics
Self-inverse logic implementation (ι ∘ ι = id)
Hierarchical Perceptual Control Theory (PCT) modeling

Use Cases

Modeling game theory interactions and stable equilibrium states
Implementing self-correcting state transformations in complex workflows
Developing frame-independent system architectures

About

Key Features

Triadic color space and Nash equilibrium calculations
Frame-invariant pattern extraction (Unworlding)
2 GitHub stars
GF(3) conservation for best-response dynamics
Self-inverse logic implementation (ι ∘ ι = id)
Hierarchical Perceptual Control Theory (PCT) modeling

Use Cases

Modeling game theory interactions and stable equilibrium states
Implementing self-correcting state transformations in complex workflows
Developing frame-independent system architectures