CM-Maxwell Electromagnetic Wave Visualization

Visualization code for electromagnetic wave structure derived from the Cognitional Mechanics (CM) unified Maxwell equation.

Overview

This repository provides a Python implementation for visualizing the electromagnetic wave solution of the CM-Maxwell unified equation:

(1/c ∂/∂t + ∇·) F = J

The visualization demonstrates:

• Orthogonal relationship between E (electric field), B (magnetic field), and S (Poynting vector)
• Phase synchronization across field components
• Energy flux direction and wave propagation

Repository Structure

.
├── code/
│   ├── em_wave_analysis.py    # Main visualization script
│   ├── requirements.txt        # Python dependencies
│   └── README.md              # Usage instructions
├── paper/
│   ├── cm_maxwell_wave_visualization.tex
│   ├── cm_maxwell_wave_visualization.pdf
│   └── fig1.png
├── figures/
│   └── .gitkeep
└── LICENSE

Quick Start

cd code
pip install -r requirements.txt
python em_wave_analysis.py

Open em_wave_analysis.html in your browser for interactive 3D visualization.

Related Publications

• Main Paper: T.O., "A Unified Maxwell Equation Derived from Cognitional Mechanics: A Practical Foundation for Engineering Electromagnetics," Zenodo, 2026. DOI: 10.5281/zenodo.18312668
• This Supplement: T.O., "Visualization of Electromagnetic Wave Structure from CM-Maxwell Unified Equation," Zenodo, 2026. DOI: 10.5281/zenodo.18364711

Citation

If you use this code in your research, please cite:

@article{to2026cmviz,
  author = {T.O.},
  title = {Visualization of Electromagnetic Wave Structure from the CM-Maxwell Unified Equation},
  year = {2026},
  publisher = {Zenodo},
  doi = {10.5281/zenodo.18364711},
  url = {https://doi.org/10.5281/zenodo.18364711}
}

License

MIT License - see LICENSE file for details.

Contact

For questions related to Cognitional Mechanics theory, see the CM-GUT series.