The Fitness Void: Three Independent Derivations of the Void Péclet Number

Shows that the THRML Péclet number (Pe=K·sinh(2b_net)) is independently derivable from market microstructure economics (Kyle 1985, Glosten-Milgrom 1985) and population genetics (Kimura 1968). Derives the exact identity Pe_THRML=4N_e·s at first order. Validates three independent convergences: market microstructure (Spearman=0.994, N=8), behavioral substrates (Spearman=0.910, N=17), and evolutionary biology (Spearman=0.9725, N=10). Derives the Red Queen hypothesis as a theorem from V*=5.52, and maps the drift cascade D1→D2→D3 to adaptive complexity, endosymbiosis, and behavioral manipulation parasites.