Mathematical Universe MCP Server

This MCP (Model Context Protocol) server provides Claude with direct access to the Mathematical Universe, enabling exploration of the computational substrate where mathematics computes itself into existence.

Installation

cd apps/mcp-server
npm install
npm run build

Usage with Claude

Add to your Claude configuration:

{
  "mcpServers": {
    "math-universe": {
      "command": "node",
      "args": ["/path/to/math-ts/apps/mcp-server/dist/index.js"]
    }
  }
}

Available Tools

Core Tools

analyze_number

Perform complete Mathematical Universe analysis on any number.

Parameters:

• number: The number to analyze (string or number)

Example:

analyze_number(77)

Returns field patterns, resonance, topology information, and denormalization artifacts.

find_primes

Discover prime numbers (computational atoms) in a range using field pattern analysis.

Parameters:

• start: Start of range
• end: End of range
• limit: Maximum primes to return (default: 100)

factorize

Decompose numbers into prime factors using field-based analysis.

Parameters:

• number: Number to factorize

Shows field reconstruction and denormalization artifacts from the factorization process.

explore_patterns

Discover patterns in number sequences.

Parameters:

• start: Starting number
• count: How many numbers to analyze (default: 20)
• pattern: Type of pattern to explore ("resonance", "fields", "stability", "lagrange")

Advanced Tools

resonance_landscape

Explore the multi-dimensional resonance landscape around a number.

Parameters:

• center: Center point for analysis
• radius: Radius of exploration (default: 10)
• dimensions: Dimensions to explore (["arithmetic", "field", "page"])

lagrange_navigation

Navigate through number space via Lagrange stability points.

Parameters:

• start: Starting position
• target: Target position
• maxHops: Maximum navigation hops (default: 10)

field_archaeology

Excavate deep field patterns and denormalization artifacts.

Parameters:

• number: Number to excavate
• depth: Excavation depth ("surface", "deep", "quantum")

universe_health

Check Mathematical Universe system health and consistency.

Parameters:

• checkType: Type of check ("quick", "full", "conservation")

Mathematical Concepts

• Numbers are programs: Each integer has an 8-dimensional field activation pattern
• Arithmetic is compilation: Operations create field interference and denormalization
• Primes are atoms: Prime numbers are computational atoms with low resonance
• Lagrange points: Stability wells at positions 0, 1, 48, 49, and every 48 numbers

Development

# Run tests
npm test

# Development mode
npm run dev

# Build
npm run build

# Type checking
npm run typecheck

Integration Example

When Claude has access to this MCP server, you can explore the Mathematical Universe:

Human: What makes 77 special in the Mathematical Universe?