What does the 'Ergodic' Trit 0 designation mean?

Within the GF(3) algebraic framework, Trit 0 represents a neutral/ergodic state that ensures the sum of trits remains conserved across skill triplets, following modular arithmetic principles.

What is Phase Space Transformation in the context of Claude Code?

It is a specialized skill that allows Claude to assist in modeling and transforming coordinates in dynamical systems while ensuring the underlying dynamics remain invariant.

How does this skill interact with Julia's ecosystem?

The skill includes specific implementation patterns for AlgebraicDynamics.jl, facilitating the development of compositional dynamical systems and resource-sharing machines.

When should I use the Non-Backtracking Geodesic Qualification?

This feature is used when you need to ensure that skill invocation chains do not revisit states, utilizing Möbius inversion to cancel out backtracking paths in complex system analysis.

Phase Space Transformation

Name: Phase Space Transformation
Author: plurigrid

byplurigrid

•

Data Science & ML

Implements coordinate changes that preserve system dynamics within complex dynamical systems and manifolds.

About

Phase Space Transformation provides a robust framework for analyzing the qualitative behavior of differential equations and flows on manifolds by applying coordinate changes that preserve underlying dynamics. Built for use with AlgebraicDynamics.jl, this skill enables researchers and developers to explore local behaviors near equilibria, analyze global structures, and identify parameter-dependent bifurcations. It is uniquely integrated with GF(3) triadic composition and supports non-backtracking geodesic qualification, making it ideal for high-integrity topological computing and complex system modeling where ergodicity and conservation laws are paramount.

Key Features

Dynamic-preserving coordinate transformations
Compositional dynamical system modeling via AlgebraicDynamics.jl
Analysis of local behavior near equilibria and invariant sets
Non-backtracking geodesic traversal with Möbius squarefree filtering
GF(3) triadic logic integration for ergodic system conservation
2 GitHub stars

Use Cases

Modeling complex topological 'chemputer' systems and chemical reactions
Developing resource-sharing machines within compositional dynamical architectures
Analyzing stability and bifurcations in high-dimensional mathematical manifolds

About

Key Features

Dynamic-preserving coordinate transformations
Compositional dynamical system modeling via AlgebraicDynamics.jl
Analysis of local behavior near equilibria and invariant sets
Non-backtracking geodesic traversal with Möbius squarefree filtering
GF(3) triadic logic integration for ergodic system conservation
2 GitHub stars

Use Cases

Modeling complex topological 'chemputer' systems and chemical reactions
Developing resource-sharing machines within compositional dynamical architectures
Analyzing stability and bifurcations in high-dimensional mathematical manifolds