# HDGL Multi-Chain Bridge

**Elegant. Simple. Reliable. Future-proof.**

A unified bridge system connecting Bitcoin, Solana, and Ethereum using hyperdimensional geometric lattice (HDGL) mathematics with φ-based evolution.

---

## 🎯 Core Concept

Everything is a **number in the HDGL field**:
- **8 analog dimensions** (D1-D8) store continuous state
- **φ-based primitives** ensure natural, deterministic evolution  
- **Turing-complete VM** executes numeric programs
- **Cross-chain commitments** bridge state between blockchains

No complex abstractions. No unnecessary dependencies. Just pure numeric operations.

---

## 📐 Architecture

```
┌─────────────┐
│  HDGL Field │  ← Universal numeric state (analog dimensions)
└──────┬──────┘
       │
   ┌───┴────┐
   │ HDGL VM│  ← Executes φ-evolution programs
   └───┬────┘
       │
       ├─────────────┬─────────────┬─────────────┐
       │             │             │             │
   ┌───▼───┐    ┌───▼───┐    ┌───▼───┐    ┌───▼───┐
   │Solana │    │Ethereum│   │Bitcoin│    │ ... │
   │8-dim  │    │Commit  │   │ CHG   │    │Future│
   │state  │    │hashes  │   │Bridge │    │chains│
   └───────┘    └────────┘   └───────┘    └──────┘
```

### State Flow
1. **Solana**: Stores 8 dimensions as `u64` values (96 bytes total)
2. **VM**: Reads state → Executes evolution program → Generates commitment
3. **Ethereum**: Verifies and stores commitment hashes
4. **Bitcoin**: References commitments for CHG token operations

---

## 🚀 Quick Start

### Prerequisites
- Python 3.8+
- Rust + Cargo
- Solana CLI
- Node.js

### Installation

```bash
# Clone repository
git clone https://github.com/your-org/hdgl-bridge.git
cd hdgl-bridge

# Initialize (creates config.json)
./deploy_hdgl.sh init

# Edit config with your endpoints
nano config.json

# Deploy to Solana devnet
export SOLANA_RPC="https://api.devnet.solana.com"
./deploy_hdgl.sh deploy

# Start bridge daemon
./deploy_hdgl.sh start

# Monitor
./deploy_hdgl.sh monitor
```

---

## 📁 File Structure

```
hdgl-bridge/
├── hdgl_vm_unified.py          # HDGL VM (Turing-complete numeric engine)
├── hdgl_unified_bridge.py      # Bridge daemon (orchestrates all chains)
├── solana/
│   └── hdgl_solana.rs          # Solana program (stores 8 dimensions)
├── ethereum/
│   └── HDGLCommitment.sol      # Ethereum contract (commitment storage)
├── deploy_hdgl.sh              # Single deployment script
├── config.json                 # Runtime configuration
└── README.md                   # This file
```

**That's it.** No Docker, no microservices, no complexity.

---

## 🔬 HDGL Field Reference

### Upper Field (Expansion Primitives)
```
105.0  → Prism State (RGB DNA composite)
99.99  → Recursion Mode Switch
9.999  → Positive Infinite Recursion
4.236  → P3 (Fibonacci-5 DNA Braid)
3.141  → π (Conditional/Logic Operator)
2.618  → φ² (Addition Operator)
1.618  → φ (Primary Primitive)
```

### Analog Dimensions (Core State)
```
D8 = 8.0  → Full hybrid lattice
D7 = 7.0  → Strand A+B superposition
D6 = 6.0  → Strand B, Wave -
D5 = 5.0  → Strand B, Wave 0
D4 = 4.0  → Strand B, Wave +
D3 = 3.0  → Strand A, Wave -
D2 = 2.0  → Strand A, Wave 0
D1 = 1.0  → Strand A, Wave +
```

### Lower Field (Contraction Primitives)
```
0.618  → 1/φ (Inverse Golden Ratio)
0.382  → 1/φ² (Inverse Addition)
0.236  → 1/P3
0.146  → 1/P4
... diminishing toward the Void (0.0)
```

### Smart Contract Hooks
```
COND_SLOT_1    = 16180339887   # Conditional threshold
BRANCH_A_SEED  = 105000000000  # Branch A pointer
SIG_SLOT_1     = 6180339887    # Signature key
ORACLE_SLOT    = 1772110000    # Oracle input
STATE_SLOT_0   = 5000000000    # Memory slot
```

---

## 🔧 VM Operations

### Basic Operations
- **OpCode 1**: φ-evolve → `dim *= φ`
- **OpCode 2**: φ-contract → `dim /= φ`
- **OpCode 3**: φ-add → `result = (a + b) * φ²`
- **OpCode 4**: φ-multiply → `result = (a * b) / φ`

### Advanced Operations
- **OpCode 5**: Conditional branch (if dim > π)
- **OpCode 6**: Dimension shift (all dims by φ)
- **OpCode 7**: DNA braid (Fibonacci patterns)
- **OpCode 8**: Strand superposition
- **OpCode 9**: Oracle read
- **OpCode 11**: Recursive call

### Example Program
```python
program = [
    (1, [Decimal(0)]),   # Evolve D1 by φ
    (1, [Decimal(1)]),   # Evolve D2 by φ
    (3, [Decimal(0), Decimal(1), Decimal(2)]),  # D3 = φ-add(D1, D2)
    (8, [Decimal(0), Decimal(3), Decimal(6)]),  # D7 = superposition(D1, D4)
    (99, [])             # Halt
]

vm = HDGLVM()
final_state = vm.execute_program(program)
commitment = final_state.commitment_hash()
```

---

## 🔐 Security Model

### State Integrity
- **Solana**: Stores canonical state, rate-limited evolution
- **Commitment**: Keccak256 hash of all 8 dimensions
- **Ethereum**: Immutable commitment registry
- **Bitcoin**: References commitments for token operations

### Evolution Constraints
- Maximum recursion depth: `9,223,372,036,854,775`
- Saturation limit: Automatic φ-scaled reduction on overflow
- Fibonacci constraint: Sum of dimensions must not divide evenly

### Multi-Party Security
- `SIG_THRESHOLD` requires multiple dimensions to unlock
- Oracle inputs are φ-scaled to prevent manipulation
- Conditional branches prevent deterministic exploitation

---

## 📊 Monitoring

### Live Dashboard
```bash
./deploy_hdgl.sh monitor
```

Shows:
- Current D1-D8 values
- Evolution count
- Latest commitment hash
- Health status

### Logs
```bash
./deploy_hdgl.sh logs
```

### Status Check
```bash
./deploy_hdgl.sh status
```

---

## 🧪 Testing

### Test VM Locally
```bash
./deploy_hdgl.sh test-vm
```

### Test Evolution Programs
```bash
./deploy_hdgl.sh test-evolution
```

### Run Full Integration Test
```bash
python3 -m pytest tests/
```

---

## 🌉 CHG Token Bridging

### Bitcoin → Ethereum Flow

1. **Lock BTC** with CHG covenant script referencing commitment
2. **Commitment verified** on Ethereum
3. **Tokens minted** to recipient address

### Example Bitcoin Script
```
# Commitment-based CHG lock
OP_DUP OP_HASH160 <commitment_hash_160>
OP_EQUALVERIFY
<amount> OP_EQUALVERIFY
<pubkey> OP_CHECKSIGVERIFY
<blocks> OP_CHECKSEQUENCEVERIFY  # φ-based timelock
OP_TRUE
```

---

## 🔮 Future Extensions

The HDGL field is **fully future-proof**:

- ✅ **Pre-allocated hooks** for smart contracts
- ✅ **Numeric opcodes** can represent any operation
- ✅ **Turing-complete** VM supports arbitrary programs
- ✅ **Analog dimensions** provide continuous state space
- ✅ **φ-mathematics** ensures natural evolution properties

### Planned Features
- Multi-signature schemes using dimension combinations
- Time-based evolution with φ-decay
- Oracle integration for real-world data
- Cross-chain message passing via commitments
- Recursive lattice fractals

---

## 🤝 Contributing

1. Fork the repository
2. Create feature branch (`git checkout -b feature/amazing`)
3. Test thoroughly (`./deploy_hdgl.sh test-vm`)
4. Commit changes (`git commit -m 'Add amazing feature'`)
5. Push to branch (`git push origin feature/amazing`)
6. Open Pull Request

---

## 📜 License

MIT License - See LICENSE file

---

## 📚 Further Reading

- [HDGL Mathematics Whitepaper](docs/HDGL_MATH.md)
- [VM Architecture Deep Dive](docs/VM_ARCHITECTURE.md)
- [Security Analysis](docs/SECURITY.md)
- [Performance Benchmarks](docs/BENCHMARKS.md)

---

## 💡 Philosophy

> "Everything is a number in the HDGL field. Complexity emerges from simplicity through φ-based evolution."

This bridge embodies:
- **Elegance**: Pure numeric operations, no abstractions
- **Simplicity**: Single daemon, clear state flow
- **Reliability**: Deterministic evolution, immutable commitments
- **Redundancy**: State replicated across chains
- **Future-proof**: Turing-complete, extensible field

---

## 📞 Support

- **Issues**: [GitHub Issues](https://github.com/your-org/hdgl-bridge/issues)
- **Discussions**: [GitHub Discussions](https://github.com/your-org/hdgl-bridge/discussions)
- **Discord**: [HDGL Community](https://discord.gg/hdgl)

---

**Built with φ (φ = 1.618033988749894848...)**
