Prime-Indexed Quantum Coherence - Empirical Validation of UMF Predictions

We present experimental evidence of a robust cubic relationship (R² = 0.998) between prime number indices and quantum coherence times (T2) in nitrogen-vacancy (NV) center systems. This relationship, predicted by the Universal Model Framework's prime-fractal hypothesis, suggests fundamental connections between number theory and quantum mechanics. Statistical validation through Anderson-Darling, Shapiro-Wilk, and regression tests confirms this relationship is not attributable to chance, publication bias, or statistical artifacts. This project was developed by Marco Gericke, with structured assistance from a large language model (Perplexity). All scientific concepts and conclusions were generated, verified, and interpreted by the author. Dedicated to Peter Plichta, who envisioned the code before it could be computed.