✅ Reproducibility Protocol

Validation Steps#

1. Initialize feedback loop with ( F_0 = 1 ), ( M_0 = 0 )
2. Apply recursive equations for 20 iterations
3. Compare symbolic cascade ( S_n ) across platforms
4. Submit results to BADGES_EARNED.md for validation

Cross-Platform Targets#

• Python (NumPy)
• Mathematica
• Jupyter Notebook