Spirals in Engineering – A Unified Geometric Framework

This repository presents a unified geometric framework for the technical sciences, where logarithmic spirals serve as a common coordinate system across mechanical, thermal, fluid, mass-transfer, and electrical engineering domains.

🌌 Vision

Instead of proposing new physical laws, this work reparameterizes existing models using spiral coordinates. This simplifies singularities, reveals hidden phase-space trajectories, and enhances visualization of dynamic phenomena such as:

• Spiral fracture propagation
• Vortex heat flow
• Turbulent mixing
• Spiral diffusion fronts
• Electromagnetic wave coils

📦 Contents

• 📄 Multilingual documentation (HU, EN, DE)
• 🧮 Python simulation modules:
  • mechanics.py, thermodynamics.py, fluid_dynamics.py, mass_transfer.py, electromagnetics.py
• 📊 Summary tables and visualizations
• 📚 Mathematical derivations (see Hungarian supplement)
• 🧠 Educational Jupyter notebooks (planned)

🧠 Methodology

This project is the result of a human–AI collaboration:

• László Tatai – Physical intuition, engineering expertise
• ChatGPT – Creative ideas, narrative structure
• Copilot – Code acceleration, syntax
• DeepSeek – Mathematical precision
• Grok – Critical review, validation
• 5Sound’s 1Rythm – Internal rhythm and iteration tuning

📜 License

This work is licensed under CC-BY 4.0 – feel free to reuse with attribution.

🔗 Citation

Please cite using the CITATION.cff file or Zenodo DOI below.

📇 Metadata

• Zenodo DOI: [10.5281/zenodo.17661023](https://doi.org/10.5281/zenodo.17661023)
• ORCID: 0009-0007-5153-6306
• GitHub: github.com/laszlo/spiral-cavitation

🚀 Future Work

• Experimental validation (spiral crack, spiral heat exchanger)
• Spiral mesh generator for COMSOL
• Educational Jupyter modules