Anisotropic Warp Bubble Simulation

This repository hosts the Jupyter Notebook for the simulation and analysis of an anisotropic warp bubble using positive energy densities. The notebook explores a novel approach to creating a warp bubble, building on recent advancements by Eric Lentz. The methodology involves creating a spacetime grid, refining the metric tensor and energy-momentum tensor, and dynamically applying a warp factor. Numerical simulations analyze various configurations of bubble radius, density, and speed.

Contents

• Anisotropic_warpB.ipynb: The Jupyter Notebook containing the detailed simulation and analysis.
• README.md: This readme file.
• awb.tex: LaTeX file for detailed documentation.
• Illustrated_abstract.pdf: PDF providing a visual summary of the project.
• pw2.py: Python script used in the simulation.

Introduction

The concept of warp fields represents a transformative approach to theoretical faster-than-light (FTL) travel, manipulating the very fabric of space-time. Traditional models often require exotic negative energies and pose numerous scientific and engineering challenges. In contrast, this investigation adopts a novel approach by employing positive-energy solutions to overcome these hurdles and push the boundaries of theoretical feasibility.

Methodology

The methodology involves:

• Creating a spacetime grid.
• Refining the metric tensor and energy-momentum tensor.
• Dynamically applying a warp factor.

Numerical simulations are used to analyze various configurations of bubble radius, density, and speed.

Analysis of Results

The notebook provides a detailed analysis of the results for different configurations, focusing on the stability and scalability of the warp bubble. Both numerical data and plain English explanations are included for each configuration.

Conclusion

The results demonstrate that a warp bubble can be sustained using positive energy densities, with stable energy presence and manageable stress levels. This study improves upon Lentz's model by offering a more practical and efficient approach to warp drive technology.

References

1. Lentz, E. W. (2021). Closed timelike curves in Lorentzian wormholes and warp drive spacetimes.
2. Alcubierre, M. (1994). The warp drive: hyper-fast travel within general relativity. Classical and Quantum Gravity, 11, L73-L77.

Usage

To view and run the notebook, follow these steps:

1. Clone the repository:

   git clone https://github.com/agreene90/PEWBexploration.git

2. Open the Jupyter Notebook:

    jupyter notebook Anisotropic_warpB.ipynb

Ensure you have the necessary Python packages installed:

• numpy
• scipy
• matplotlib

You can install them using:

pip install numpy scipy matplotlib

Validation Notes:

code and markdown here

Contributing

Contributions are welcome! Please fork the repository and create a pull request with your changes.

License

This project is licensed under the BSD-2 License.