What is a 'relevant operator' in this framework?

A relevant operator is a diagnosis for a symmetry violation where the Markov blanket remains intact but the trit sum is non-zero, requiring a mathematical counterterm for correction.

How does the skill map hex colors to trits?

It converts hex codes to hue angles (0-359°) and maps them into three 120-degree sectors, corresponding to trit values 0, 1, and 2 in the GF(3) field.

What is a Ward identity in the context of this skill?

A Ward identity expresses symmetry conservation where the sum of state trits (GF(3)) must equal zero (mod 3) at every renormalization group level to ensure system stability.

What is the significance of a Markov blanket violation?

A violation indicates that the statistical boundary between internal and external states has been compromised, signifying a 'leak' that can destabilize the agent or system.

Ward Identity Checker

Name: Ward Identity Checker
Author: plurigrid

byplurigrid

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Data Science & ML

Verifies GF(3) symmetry conservation and Markov blanket integrity across renormalization group flows for cybernetic system stability.

About

The Ward Identity Checker is a specialized diagnostic tool designed for systems modeled as topological chemputers or active inference agents. It enforces the principle of symmetry conservation by ensuring that the sum of GF(3) trits—mapped from hex color states—remains zero (mod 3) across different renormalization levels. By monitoring Markov blanket separation and detecting 'relevant operators' that break symmetry, this skill provides a rigorous mathematical framework for maintaining compositional coherence, identifying boundary leaks, and stabilizing renormalization group (RG) flows in complex cybernetic architectures.

Key Features

GF(3) Trit Conservation: Validates that state sums maintain mod 3 symmetry across system levels.
Violation Diagnosis: Automatically categorizes failures as boundary leaks, relevant operators, or full symmetry breaks.
2 GitHub stars
RG Flow Tracking: Monitors symmetry and 'leakage' across multiple organizational scales.
Color-to-Trit Mapping: Programmatically converts hex color codes into algebraic trit values via hue analysis.
Markov Blanket Verification: Ensures statistical independence between internal and external states via sensory and active boundaries.

Use Cases

Ensuring integrity in active inference agents and cybernetic-immune systems.
Detecting non-self markers and anomalies in topological data structures.
Validating color-chain derivations and state transitions in complex system modeling.

About

Key Features

GF(3) Trit Conservation: Validates that state sums maintain mod 3 symmetry across system levels.
Violation Diagnosis: Automatically categorizes failures as boundary leaks, relevant operators, or full symmetry breaks.
2 GitHub stars
RG Flow Tracking: Monitors symmetry and 'leakage' across multiple organizational scales.
Color-to-Trit Mapping: Programmatically converts hex color codes into algebraic trit values via hue analysis.
Markov Blanket Verification: Ensures statistical independence between internal and external states via sensory and active boundaries.

Use Cases

Ensuring integrity in active inference agents and cybernetic-immune systems.
Detecting non-self markers and anomalies in topological data structures.
Validating color-chain derivations and state transitions in complex system modeling.