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Warp Sensitivity Analysis - Extended Framework

Overview

This repository now contains a comprehensive theoretical physics testing framework that extends beyond simple signal-vs-noise analysis to include:

  1. Semi-classical testing (Post-Newtonian corrections)
  2. Strong-curvature regime models (Planck-scale physics)
  3. Unified analysis pipeline with consistent metadata format

Directory Structure

warp-sensitivity-analysis/
├── analyze_sensitivity.py          # Original signal vs noise pipeline
├── generate_sensitivity_curve.py   # Noise curve generator
├── mock_data.*                     # Test data files
├── sensitivity_*.*                 # Analysis outputs
├── 
├── semi_classical/                 # Post-Newtonian analysis
│   ├── compute_pn_corrections.py  # PN expansion generator
│   ├── analyze_pn_tests.py        # Experimental comparison
│   ├── theory_params.am           # Theory configuration
│   ├── pn_config.am               # PN expansion settings
│   ├── pn_waveforms.ndjson        # Generated PN corrections
│   ├── pn_summary.am              # PN metadata
│   └── pn_data/                   # Experimental datasets
│       ├── ligo_data.csv          # LIGO sensitivity curves
│       ├── ligo_data.am           # LIGO metadata
│       └── atomic_interf.am       # Atomic interferometry data
│
└── strong_curvature/              # Planck-scale models
    ├── generate_2d_blackhole.py   # 2D black hole toy models
    ├── minisuperspace_cosmo.py    # FRW minisuperspace cosmology
    ├── compare_strong_models.py   # Model unification
    ├── blackhole_config.am        # Black hole parameters
    ├── cosmo_config.am            # Cosmology parameters
    ├── blackhole_data.ndjson      # Generated black hole data
    ├── blackhole_summary.am       # Black hole metadata
    └── unified_summary.am         # Combined analysis metadata

Workflow Integration

1. Semi-Classical Testing Pipeline

Input: Theory parameters → PN expansion → Experimental comparison

# Generate Post-Newtonian corrections
cd semi_classical/
python compute_pn_corrections.py \
    --theory theory_params.am \
    --pn-config pn_config.am \
    --out pn_waveforms.ndjson \
    --oam pn_summary.am

# Analyze against experimental data
python analyze_pn_tests.py \
    --pn-data pn_waveforms.ndjson \
    --pn-meta pn_summary.am \
    --exp-data pn_data/ligo_data.csv \
    --exp-meta pn_data/ligo_data.am \
    --out pn_analysis.ndjson \
    --oam pn_analysis.am

Output:

  • PN corrections up to specified order
  • Observational signatures and scaling laws
  • Goodness-of-fit vs experimental constraints
  • Parameter ranges surviving precision tests

2. Strong-Curvature Regime Pipeline

Input: Model configurations → Toy model generation → Regime classification

# Generate 2D black hole models
cd strong_curvature/
python generate_2d_blackhole.py \
    --model-config blackhole_config.am \
    --out blackhole_data.ndjson \
    --oam blackhole_summary.am

# Generate minisuperspace cosmology
python minisuperspace_cosmo.py \
    --cosmo-config cosmo_config.am \
    --out cosmo_data.ndjson \
    --oam cosmo_summary.am

# Unify and compare models
python compare_strong_models.py \
    --models blackhole_data.ndjson cosmo_data.ndjson \
    --meta blackhole_summary.am cosmo_summary.am \
    --out unified_strong_models.ndjson \
    --oam unified_summary.am

Output:

  • Curvature invariants (Ricci, Kretschmann scalars)
  • Quantum gravity parameter (curvature/Planck scale)
  • Regime classification (classical/transition/quantum)
  • Parameter ranges requiring full quantum gravity

3. Unified Metadata Format

All stages use consistent AsciiMath metadata files (.am) containing:

[ key1 = value1, key2 = "string_value", key3 = 1.23e-4, ... ]

This enables automated pipeline chaining and parameter tracking across analysis stages.

Key Features

Semi-Classical Analysis

  • Symbolic PN expansion using SymPy for warp drive metrics
  • Observational signatures in gravitational wave detectors
  • Parameter constraints from precision tests (LIGO, atomic interferometry)
  • Order-by-order comparison of theoretical predictions vs data

Strong-Curvature Models

  • 2D black hole toy models with exact curvature calculations
  • FRW minisuperspace cosmology for early universe scenarios
  • Quantum gravity indicators based on Planck-scale ratios
  • Regime boundaries between classical and quantum gravity

Analysis Integration

  • Consistent data format (NDJSON + AsciiMath metadata)
  • Automated pipeline with configurable parameters
  • Cross-regime comparison of theoretical predictions
  • Scalable framework for additional model types

Current Status

Completed:

  • Original sensitivity analysis pipeline
  • Semi-classical PN correction generator
  • Strong-curvature toy model framework
  • Unified metadata and analysis structure

🔄 Working:

  • PN corrections successfully generated
  • 2D black hole models computed
  • Model comparison and regime classification

🔧 Minor Issues:

  • JSON serialization errors in some analysis scripts (fixable)
  • Frequency range parsing in PN config files (fixed)

Next Steps

  1. Fix remaining JSON serialization in analysis scripts
  2. Add more experimental datasets (atomic interferometry, pulsar timing)
  3. Extend toy models (higher-dimensional black holes, cosmological perturbations)
  4. Implement parameter space exploration with automated constraint mapping
  5. Add visualization tools for regime boundaries and observational prospects

This framework now provides a complete theoretical physics testing pipeline that can explore warp drive signatures across energy scales from current detector sensitivity up to Planck-scale quantum gravity.