# The Emergent Law — Machine-Readable Proof Navigator # Version: 4.3 (v97, keyword discovery search) # Entities: 407 # Relations: 711 # Theorems: 87 # Experiments: 14 (C1-C9 sigma-continuum + 6 galactic kinematics probes) # # ── Modular Data Architecture ── # Source of truth: # proof-data-manifest.json Shared config, types, macros, citations, synonyms, branch registry # proof-data-core.json Part I: Superspace Diffusion (30 entities, 64 relations) # proof-data-gk.json Part II: Galactic Kinematics (377 entities, 644 relations) # # ── Discovery Search ── # Each entity has TF-IDF + anchor-text keywords (kw field, ~25 per entity). # The manifest contains a 54-entry synonym table for query expansion. # search_entities uses scored ranking: keyword(3x) > title(2x) > stmt(1x). # Example: "dark energy" expands via synonyms to also match "cosmological", # "vacuum", "hubble", "accelerating", "expansion". # # Crown theorems (13): # SEST, B_T6, C_T2, D_T4, E_T4, F_T4, G_T1, H_T2, I_T1, J_T5, K_T7, L_T14, M_T1 # # Verification engines: # SymPy — algebraic verification (103 entities with scripts) # Lean Lite — CIC type-theoretic structural verification (407 entities, 4376 checks) # # Citation: Garcia, Perea Duran, Venezia & Conradie (2026) # DOI: https://doi.org/10.48550/arXiv.2603.20423 # # ── API Endpoints ── # Modular: /proof-data-manifest.json, /proof-data-core.json, /proof-data-gk.json # REST: /api/entity?id=SEST /api/chain?id=T1 /api/search?q=dark+energy /api/meta /api/citation # Merged: /api/proof-data (dynamically merges all branches) # # ── MCP Server (Model Context Protocol) ── # Endpoint: https://www.emergentlaw.org/mcp (Streamable HTTP transport) # All responses include citation and licence provenance. # # Tools (13): # get_overview — navigator statistics and structure # search_entities — scored keyword search with synonym expansion # get_entity — full entity details with dependencies # get_dependency_chain — topological derivation chain from axioms # list_by_type — list entities by type (axiom, theorem, etc.) # get_axioms — foundational axioms A1-A4 # get_verification_status — SymPy + Lean Lite verification summary # get_crown_theorems — major results at top of hierarchy # get_experiments — sigma-continuum and galactic probes # get_citation — citation in multiple formats # get_sympy_script — full executable SymPy verification script for an entity # get_lean_lite — Lean Lite metadata + generated verification script # get_experiment_results — experiment script, pipeline manifest, and raw data file paths # # ── Connecting to this MCP Server from Claude ── # # Any Claude user (Free, Pro, Max, Team, or Enterprise) can connect: # 1. Open Claude at claude.ai (or Claude Desktop / Claude mobile) # 2. Click the "+" button in the lower-left corner of the chat # 3. Select "Connectors", then click "Add custom connector" # 4. Enter the URL: https://www.emergentlaw.org/mcp # 5. Click "Add" — no authentication required # 6. In any conversation, click "+" → Connectors and enable "emergent-law-navigator" # # Once connected, try: # "What are the axioms of the stochastic spacetime framework?" # "Trace the derivation of the Hawking temperature from first principles" # "Search for entities related to dark energy" # "What experiments validate the MOND scale derivation?" # # For Claude Code, Cursor, or Windsurf: # { # "mcpServers": { # "emergent-law": { # "command": "npx", # "args": ["-y", "mcp-remote", "https://www.emergentlaw.org/mcp"] # } # } # } # # Copyright: University College London (2026). All rights reserved.