REIL Core: Spacetime Curvature from Recursive Electromagnetic Inertial Loops

Authors: Gregory Betti, GreyOS Symbolic Physics Division

Project Summary

This open-source project provides a simulation and interactive visualization suite for the REIL Core—a closed-loop, magnetically levitated kinetic engine that generates spacetime curvature using only classical physics and symbolic recursion. The project simulates a 2D toroidal system, with all results derived from first-principles equations and fully reproducible.

• Backend: Physics-based simulation of 100 capsules in a 2D toroidal loop
• 2D Visualization: Animated Matplotlib heatmap with symbolic tick overlay and center-of-mass drift tracking
• Symbolic Memory: Tracks recursive loops (symbolic ticks) without intervention
• Asymmetry Mode: Demonstrates field drift and directional bias

Installation

1. Clone the repository: git clone https://github.com/TheGreyOS/REIL-Simulation cd reil-core-sim
2. Install dependencies: pip install -r requirements.txt

Usage

• Run the 3D Viewer: python reil_viewer_3d.py
  • Visualizes the 3D toroidal device, capsule positions, curvature shell, symbolic ticks, and curvature intensity.
• Run the 2D Simulation: python reil_simulation_2d.py
  • Produces an animated heatmap of the curvature field and tracks center-of-mass drift and symbolic ticks in 2D.
• Run the basic backend simulation: python reil_simulation.py
  • Computes all physics and outputs core simulation results (energies, kicks, ticks, positions).
• All parameters (capsule count, mass, velocity, symmetry, etc.) can be edited in the scripts.

File Structure

• reil_simulation.py: Physics backend (energy, capsule positions, curvature)
• reil_simulation_2d.py: 2D simulation and animated curvature field
• reil_viewer_3d.py: 3D visualization and GUI
• requirements.txt: Dependencies
• REIL_Scientific_Paper.md: Scientific manuscript with results
• README.md: This file

Requirements

• Python 3.10+
• numpy
• scipy
• matplotlib
• pillow
• pyvista
• vtk

Install all dependencies using pip install -r requirements.txt.

Contribution Guidelines

• Fork the repository and submit pull requests for improvements, bug fixes, or new features.
• Please ensure all new code is physics-driven and well documented.
• Open issues for questions, feature requests, or collaboration.

License

This project is open source under the MIT License. See LICENSE for details.

Citation

If you use this project in academic work, please cite:

Betti, G. (2025). Spacetime Curvature from Recursive Electromagnetic Inertial Loops (REIL): A Simulation-Based Analysis of Toroidal Field-Induced Warp Shells. [Open Source Software].

Contact

For questions or collaboration, open an issue or contact the authors via GitHub.

Keywords: REIL Core, symbolic physics, recursive energy, spacetime curvature, warp bubble, closed-loop motion, magnetic levitation, kinetic gravity