Supplementary Dataset for "Prime Number Distribution and the Uncertainty Principle: A Definitive Disproof of the Montgomery-Dyson Conjecture and Discovery of the Prime Gap Ensemble"

This dataset contains all supplementary materials supporting the research published in DOI: 10.5281/zenodo.16740137. Contents: Python source code for all statistical analyses and model generation High-resolution visualizations of prime gap distributions, uncertainty principle scaling, and comparative statistical tests Complete proofs and extended derivations Comprehensive answers to technical questions and further development notes Open letter to mathematics and physics departments summarizing key findings These materials allow full reproduction of the analyses, statistical tests, and models described in the main paper.