How does GF(3) conservation work in this skill?

It ensures a balanced channel where the sum of participants' states (Speaking +1, Listening 0, Muted -1) equals 0 mod 3, maintaining systemic equilibrium across the network.

Can I use this for production audio applications?

Yes, the skill is production-ready and includes integrations for NATS messaging and macOS virtual audio drivers via WhiteHole for real-world implementation.

What is a UWD in the context of voice communication?

An Undirected Wiring Diagram (UWD) models participants as boxes and the audio mix as a central junction, allowing audio to be treated as a composable mathematical resource.

What is the purpose of the Arena Protocol integration?

The Arena Protocol provides a formal framework based on Parametrised Lenses for handling the forward 'play' pass (audio output) and backward 'coplay' pass (feedback and mixed input) in a communication loop.

Voice Channel UWD

Name: Voice Channel UWD
Author: plurigrid

byplurigrid

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Collaboration Tools

Models and orchestrates real-time voice communication using categorical undirected wiring diagrams and GF(3) conservation laws.

Voice Channel UWD provides a formal mathematical framework for managing real-time audio communication through the lens of category theory. By treating participants as boxes in an Undirected Wiring Diagram (UWD) and audio mixing as a colimit operation (oapply), it ensures state consistency and balanced communication flows using GF(3) trit logic. This skill is ideal for developers building decentralized communication systems, specialized audio routing engines, or researchers applying compositional frameworks to real-time signal processing and distributed systems.

Key Features

01NATS message broker integration for distributed voice signaling

02GF(3) trit conservation for balanced speaking, listening, and muted states

03Categorical audio mixing via UWD colimits and oapply operations

04macOS WhiteHole virtual audio driver bindings for real-time I/O

05Implementation of the Arena Protocol for parameterized lens-based communication

068 GitHub stars

Use Cases

01Building decentralized, mathematically verified voice chat applications

02Designing complex audio routing systems with formal state guarantees

03Researching compositional models for real-time collaborative environments

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi voice-channel-uwd

For use in Claude.ai and ChatGPT

Download Skill