Unified LQG-QFT Framework

A framework integrating Loop Quantum Gravity (LQG) and Quantum Field Theory (QFT) for spacetime manipulation, matter creation, and exotic physics research.

Latest Implementation: 3D Complete

NEW: The framework now features complete 3D spatial implementation with multi-GPU acceleration and quantum error correction capabilities:

• Full 3D Laplacian: Three-axis spatial field evolution
• 3D Metric Ansatz: Replicator metric for matter creation
• Multi-GPU Architecture: JAX pmap parallelization across GPU clusters
• Quantum Error Correction: Numerical stability and precision
• Real-time 3D Visualization: Interactive field monitoring and parameter adjustment

Performance: Linear scaling across multiple GPUs, >90% parallel efficiency, <10⁻⁸ constraint satisfaction

See: 3D_INTEGRATION_COMPLETE.md for implementation details and roadmap

Overview

This unified framework combines the core "polymer + matter" engine from the LQG-ANEC framework with new theoretical developments in:

• Matter Creation Physics: Advanced Hamiltonian formulations for matter generation
• Replicator Metric Ansätze: Novel spacetime geometries for matter duplication
• Unified Field Theory: Integration of quantum gravity and quantum field theory
• Exotic Spacetime Engineering: Warp bubbles, negative energy sources, and ANEC violations

Core Components

Polymer Quantization Engine

• polymer_quantization.py - Core polymer field quantization
• coherent_states.py - LQG coherent state construction
• spin_network_utils.py - Spin network graph utilities
• field_algebra.py - Polymer field algebra and commutation relations

Energy Source Interface

• ghost_condensate_eft.py - Ghost/phantom effective field theory
• energy_source_interface.py - Unified energy source abstraction
• vacuum_engineering.py - Vacuum state manipulation
• negative_energy.py - Negative energy density computations

Spacetime Engineering

• warp_bubble_solver.py - 3D mesh-based warp bubble analysis
• warp_bubble_analysis.py - Stability and feasibility studies
• metamaterial_casimir.py - Metamaterial-based Casimir sources
• drude_model.py - Classical electromagnetic modeling

ANEC Violation Analysis

• anec_violation_analysis.py - Comprehensive ANEC violation framework
• stress_tensor_operator.py - Stress-energy tensor computations
• numerical_integration.py - Specialized integration routines
• effective_action.py - Higher-order curvature corrections

Supporting Infrastructure

• midisuperspace_model.py - Reduced phase space quantization
• automated_ghost_eft_scanner.py - Batch scanning and optimization

Installation

1. Clone the repository:

git clone <repository-url>
cd unified-lqg-qft

2. Install dependencies:

pip install -r requirements.txt

3. For GPU acceleration (optional):

pip install -e .[gpu]

4. For visualization capabilities (optional):

pip install -e .[visualization]

5. For complete installation with all features:

pip install -e .[all]

Quick Start

Basic ANEC Violation Analysis

from src.anec_violation_analysis import coherent_state_anec_violation
from src.spin_network_utils import build_flat_graph
from src.coherent_states import CoherentState

# Create spin network
graph = build_flat_graph(100, connectivity="cubic")
coherent_state = CoherentState(graph, alpha=0.05)

# Analyze ANEC violations
result = coherent_state_anec_violation(
    n_nodes=100,
    alpha=0.05,
    mu=0.1,
    tau=1.0
)

print(f"ANEC Violation: {result['anec_violation']:.3e}")

Ghost Condensate EFT Analysis

from src.ghost_condensate_eft import GhostEFTParameters, GhostCondensateEFT

# Configure ghost EFT
params = GhostEFTParameters(
    phi_0=1.0,
    lambda_ghost=0.1,
    cutoff_scale=10.0
)

eft = GhostCondensateEFT(params)
anec_result = eft.compute_anec_violation(tau=1.0)

print(f"Ghost EFT ANEC Violation: {anec_result['violation']:.3e}")

Warp Bubble Analysis

from src.warp_bubble_solver import WarpBubbleSolver
from src.energy_source_interface import GhostCondensateEFT

# Create energy source
ghost_source = GhostCondensateEFT(M=1000, alpha=0.01, beta=0.1)

# Run warp bubble simulation
solver = WarpBubbleSolver()
result = solver.simulate(ghost_source, radius=10.0, resolution=50)

print(f"Simulation Success: {result.success}")
print(f"Total Energy: {result.energy_total:.2e} J")
print(f"Stability: {result.stability:.3f}")

Command Line Interface

Run comprehensive analysis using the automated scanner:

# Basic ghost EFT analysis
python automated_ghost_eft_scanner.py

# Custom parameter analysis
python scripts/test_ghost_scalar.py --mu 0.1 --alpha 0.05

# Quantum inequality kernel scanning
python scripts/scan_qi_kernels.py --n-kernels 1000

Framework Architecture

unified-lqg-qft/
├── src/                          # Core framework modules
│   ├── polymer_quantization.py   # Polymer field quantization
│   ├── ghost_condensate_eft.py   # Ghost/phantom EFT
│   ├── energy_source_interface.py # Unified energy sources
│   ├── vacuum_engineering.py     # Vacuum manipulation
│   ├── warp_bubble_solver.py     # 3D warp bubble analysis
│   ├── anec_violation_analysis.py # ANEC violation framework
│   ├── coherent_states.py        # LQG coherent states
│   ├── spin_network_utils.py     # Spin network utilities
│   └── utils/                    # Utility modules
├── scripts/                      # Analysis scripts
│   ├── test_ghost_scalar.py      # Ghost scalar testing
│   └── scan_qi_kernels.py        # QI kernel scanning
├── automated_ghost_eft_scanner.py # Main analysis driver
├── requirements.txt              # Python dependencies
├── setup.py                      # Package configuration
└── README.md                     # This file

Key Features

• GPU Acceleration: JAX and PyTorch support for massive parameter sweeps
• 3D Visualization: PyVista integration for spacetime geometry visualization
• Finite Element Methods: Optional FEniCS integration for advanced meshing
• Batch Processing: Automated parameter scanning and optimization
• Modular Design: Extensible architecture for new physics modules
• Comprehensive Testing: Unit tests and validation scripts

Physical Capabilities

The framework enables computation of:

• Polymer-modified quantum inequality bounds
• Time-dependent stress-energy smearing effects
• ANEC violations in discrete quantum geometry
• Warp bubble stability and energy requirements
• Ghost condensate effective field theory
• Metamaterial-based negative energy sources
• Vacuum engineering and Casimir effects

Future Extensions

This framework is designed to be extended with:

• Matter Creation Hamiltonians: New formulations for matter generation
• Replicator Metric Ansätze: Spacetime geometries for matter duplication
• Advanced Optimization: Machine learning-driven parameter optimization
• Experimental Interface: Connection to laboratory experiments
• Quantum Computation: Integration with quantum computing platforms

Contributing

Contributions are welcome! Please see the contributing guidelines for details on:

• Code style and formatting
• Testing requirements
• Documentation standards
• Pull request process

License

This project is released under The Unlicense - see the LICENSE file for details.

Acknowledgments

This framework builds upon foundational work in:

• Loop Quantum Gravity (Ashtekar, Rovelli, Smolin)
• Quantum Field Theory in Curved Spacetime (Birrell, Davies)
• ANEC Violation Theory (Ford, Roman)
• Warp Drive Physics (Alcubierre, Van Den Broeck)
• Ghost Condensate Models (Arkani-Hamed, Cheng, Luty, Mukohyama)