Cubix Markonium

Project Summary: Cubic Blockchain Protocol (CBP)

A 3D blockchain leveraging geometric determinism, zk-SNARKs, and quantum-resistant cryptography to solve the trilemma. Transactions are organized into growing cubes, with consensus, state management, and privacy anchored in spatial rules.

1. Core Architecture

Cubic Geometry

• Digital Root Positioning:
  • Each transaction’s hash is mapped to a 3x3 face via its digital root (1–9).
  • Example: tx_hash → DR=5 → row=2, column=2.
• 3D Layering:
  • hash % 3 determines layer (front=0, middle=1, back=2).
• Hierarchy:
  • 1x1x1 (transaction) → 3x3x3 (block) → 9x9x9 (super-block).

Consensus

• Modified HotStuff BFT:
  • Leader Rotation: Stake-weighted validators propose super-blocks.
  • Finalization: 2/3 votes on super-block validity (SNARKs + Verkle roots).
  • Liveness: Parallel cube construction + pipelined voting.

State & Validation

• Verkle Trees:
  • Sparse Merkle trees for global state (balances, identities).
  • Stateless Clients: Verify updates with logarithmic proofs.
• zk-SNARKs:
  • Circuit 1: Validate cubic positioning + digital root rules.
  • Circuit 2: Batch-verify 729 transactions in a super-block.
  • Tools: Halo2 + Circom for recursive proofs.

2. Cryptography

Quantum Resistance

• MAYO Signatures:
  • Key Sizes: 64–128 bytes (signatures), 1–10 KB (public keys).
  • One-Time Keys: Derived from master seed + positional vectors.
• Deterministic Rotation:
  • sk_i = HASH(S || HASH(X,Y,Z,x,y,z)) (vector-bound keys).

Privacy

• Stealth Addresses: Diffie-Hellman key exchange for receiver privacy.
• zk-SNARKs: Hide sender/receiver metadata in asset transfers.

3. Networking

• Peer Discovery:
  • Kademlia DHT: Find nodes by cube coordinates (e.g., /ip4/.../cube/1,2,0).
  • GossipSub: Broadcast partial cubes and proofs.
• Data Syncing:
  • Request-Response: Fetch missing transactions by digital root.

4. Staking & Incentives

• Validation Tasks:
  • Users stake tokens to propose/validate cubes.
  • Matching Rule: digital_root(tx_id) == current_epoch % 9.
• Slashing:
  • 5% Penalty: For invalid proofs or double-signing.
  • Rewards: Transaction fees + block rewards (in genesis token).

5. CLI & User Interaction

Commands

# Create identity (MAYO keypair)
cube-cli identity create --name alice  

# Send 100 tokens to Bob (with stake)
cube-cli tx send --to bob --amount 100 --stake 10  

# Connect to network
cube-cli network join --bootstrap /ip4/192.168.1.1/tcp/5000  

# Track a cube’s status
cube-cli cube status --coordinates 2,1,0  

Genesis Block

{
  "timestamp": 1719391313,
  "meta": {
    "type": "genesis",
    "validators": ["0x9a8b...", "0xdef4..."],
    "stake_params": {
      "min_stake": 100,
      "slashing_rate": 0.05
    },
    "state": {
      "balances": {
        "0x9a8b...": 1000000
      }
    }
  }
}

6. Trilemma Alignment

| Aspect | Solution |
|-------------------|---------------------------------------------------|
| Scalability | Recursive SNARKs (1k TPS/cube) + parallel cubes. |
| Security | Quantum-resistant MAYO + HotStuff BFT + slashing. |
| Decentralization | Permissionless validation + stateless clients. |

Tech Stack

• Consensus: Rust-implemented HotStuff.
• zk-SNARKs: Circom (circuits) + Halo2 (recursion).
• Networking: libp2p (Rust/Go).
• Cryptography: Open Quantum Safe (MAYO, SPHINCS+).

Next Steps

1. Testnet: Deploy 3x3x3 cubes with mock validators.
2. Optimize SNARKs: Custom Halo2 gates for digital roots.
3. Audits: Formal verification of cubic positioning rules.

CBP reimagines blockchain as a 3D cryptographic fabric, where math and geometry enforce trust. 🎲🔗

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