CRT Mesh Network

How It Works

Traditional mesh: assign addresses, design routing, bolt on encryption, add ECC.
CRT mesh: the ring Z/970200Z already IS a network.

ADDRESSING:
  Each node = one element n of Z/970200Z. That's its address.
  CRT decomposes: n -> (n mod 8, n mod 9, n mod 25, n mod 49, n mod 11)
  5 independent channels. The address IS the route IS the error code.

ROUTING (Rose):
  coupling(n) = N / gcd(n, N). High coupling = backbone relay.
  Packets route through highest-coupling neighbors.
  No routing tables. No OSPF. No BGP. The algebra decides.

PRIVACY (algebraic, not cryptographic):
  Each relay sees ONE CRT residue. Not the full address.
  5 residues needed to reconstruct. Information-theoretic security.
  No keys. No certificates. No encryption. Just decomposition.

ERROR CORRECTION (L=11):
  5th CRT channel = free ECC. 100% single-channel error detection.
  No CRC. No Reed-Solomon. The ring structure IS the code.

Hardware: 3 ESP32 boards, $15 total. ESP-NOW protocol.
  Board 1: element 1 (sigma = backbone, coupling = 970200)
  Board 2: element 2 (D = bridge, coupling = 485100)
  Board 3: element 3 (K = closure, coupling = 323400)

1. Network Topology

Nodes join as ring elements. Coupling determines their role. Click "Add Node" or pick specific elements.

Add Random Node Add Element: Add Triangle (1,2,3) Reset

2. CRT Packet Inspector

Select source and destination. Watch the packet decompose into 5 channels.

From: To: Send Packet Send Corrupt (inject error)

3. Algebraic Privacy

Each relay in the route sees only ONE residue. Reconstruct requires ALL 5.

Destination element: Show Decomposition

4. Rose Routing Simulation

Watch a packet route through high-coupling relays to its destination.

Simulate Route Broadcast (dst=0)

5. Coupling Hierarchy

The ring assigns network roles algebraically. No election. No authority.

Show Key Elements

6. Ring Scaling

The same protocol works at every scale. 108 rings in the lattice. Same lambda=420.

7. CRT vs Traditional Mesh