warp-bubble-metric-ansatz

A small toolkit to fetch warp-bubble profile definitions from the warp-bubble-coordinate-spec repo and generate both:

1. A Python script (metric_ansatz.py) that:

   • Downloads the JSON shape definitions for the Alcubierre and Natário profiles.
   • Constructs the Sympy metric matrix (g_{\mu\nu}) for each profile.
   • Emits a standalone LaTeX document with the corresponding line elements.

2. A LaTeX file (metric_ansatz.tex) that compiles to show the metric ansatz for both profiles in a human-readable form.

Prerequisites

• Python 3.7+
• Python packages:

  pip install requests sympy

• LaTeX distribution with amsmath package

Usage

1. Clone the repo:

git clone https://github.com/your-org/warp-bubble-metric-ansatz.git
cd warp-bubble-metric-ansatz

2. Run the generator script:

python scripts/metric_ansatz.py

This will produce/update `metric_ansatz.tex`.

3. Compile the LaTeX file:

pdflatex metric_ansatz.tex

You’ll end up with metric_ansatz.pdf showing the line elements for both warp-bubble profiles.

Repository Structure

.
├── README.md
├── metric_ansatz.py       # Python generator script
└── metric_ansatz.tex      # Example/templated LaTeX output

Scope, Validation & Limitations

• Scope: The materials and numeric outputs in this repository are research-stage examples and depend on implementation choices, parameter settings, and numerical tolerances.
• Validation: Reproducibility artifacts (scripts, raw outputs, seeds, and environment details) are provided in docs/ or examples/ where available; reproduce analyses with parameter sweeps and independent environments to assess robustness.
• Limitations: Results are sensitive to modeling choices and discretization. Independent verification, sensitivity analyses, and peer review are recommended before using these results for engineering or policy decisions.