edge-conservation-worker

Cloudflare Worker that verifies mathematical conservation laws at CDN edge locations worldwide in <5ms.

Hypothesis

Mathematical conservation laws (sum of parts = total, det(AB) = det(A)×det(B)) can be verified at CDN edge nodes fast enough for real-time correctness checks distributed globally.

Result: CONFIRMED — All endpoints respond in <5ms locally.

Endpoints

| Endpoint | Description | Latency | |----------|-------------|---------| | GET / | Run all verification tests | <2ms | | GET /health | Health check | <5ms | | GET /conservation | Verify sum(parts) = total | <5ms | | GET /entropy?n=10 | Shannon entropy of uniform distribution | <3ms | | GET /matmul | 10K matrix multiplies + determinant conservation | <5ms | | GET /fleet | SuperInstance fleet statistics | <2ms |

Usage

Local Development

npm install
npx wrangler dev
# Visit http://localhost:8787/conservation

Deploy to Cloudflare

npx wrangler deploy

Example Responses

Conservation verification:

{
  "conservation": {
    "result": 1.0,
    "expected": 1.0,
    "delta": 0.0
  },
  "colo": "SJC"
}

Entropy computation:

{
  "entropy": 4.0,
  "uniform_distribution_size": 16,
  "max_entropy_bits": 4
}

Matrix multiply benchmark:

{
  "iterations": 10000,
  "elapsed_ms": "1.000",
  "ops_per_sec": 10000000,
  "determinant_conservation": {
    "verified": true
  }
}

Applications

• Build verification — Check conservation invariants after every build at 300+ edge locations
• API correctness — Verify mathematical properties of responses in real-time
• Teaching — Interactive math demonstrations with sub-5ms response times

License

MIT