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Paper I of "Statistical Pharmacology via Kakutani Dichotomy": the marginal drug Kakutani index (DKI) and the alpha_c = 1/2 criticality theorem for high-dimensional protein conformational ensembles. Paper (LaTeX/PDF), reproducible Python code, data and figures. DOI 10.5281/zenodo.23005921
Code, data and paper: a polymer whose stiffness follows prime-family gaps reads only sieve composition and the density envelope, and is blind to congruence structure. Exact ideal-chain theory, Granville sieve models, Langevin tests.