✅ Reproducibility Protocol

Validation Steps#

1. Initialize descent with ( A_0 = 1 ), ( D_0 = 0 )
2. Apply recursive equations for 30 iterations
3. Compare cascade ( C_n ) across platforms
4. Submit results to BADGES_EARNED.md for validation

Cross-Platform Targets#

• Python (SciPy)
• Mathematica
• Jupyter Notebook