+SIMULATIONS_README.md

U-Model Simulations

📁 Available Simulations

dimensional_stability_toymodel.py

Purpose: Demonstrates the Dimensional Stability Theorem (DST) numerically.

What it does:

• Simulates a system with Form (F), Position (P), and Action (A) components
• Shows that stable configurations maintain F + P + A ≈ const
• Visualizes the stability basin and perturbation responses

Requirements:

pip install numpy matplotlib scipy

Usage:

python dimensional_stability_toymodel.py

Expected Output:

• Console: Stability metrics and convergence data
• Plot: F-P-A trajectory in phase space

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🔬 Reproducing Results

To reproduce the results from DST v23.2:

1. Clone the repository
2. Install dependencies: pip install -r requirements.txt
3. Run: python simulations/dimensional_stability_toymodel.py
4. Compare output with Table 3 in DST document

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📊 Validation Status

Simulation	Status	Last Run	Notes
DST Toymodel	✅ Verified	2026-01-30	Matches analytical predictions

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🧪 Adding New Simulations

To contribute a new simulation:

1. Follow the naming convention: {theorem_name}_{type}.py
2. Include docstring with:
   • Purpose
   • Inputs/Outputs
   • Expected results
3. Add entry to this README

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📬 Contact

For simulation-related questions: petar@u-model.org