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The Fitness Void

Three Independent Derivations of the Void Péclet Number

Opacity3/3███
Responsiveness3/3███
Coupling3/3███
Void Index9/12Maximum (D3)
Péclet NumberPe=43.9Phase D3 Complete (behavioral parasites)

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

Paper 41 — The Fitness Void · v1.1 · February 2026

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.

Platform Scores — Biological and Financial Adaptive Systems

Void index across 8 platforms, scored on the three-dimension framework (0–12).

Platform Score Void Load
Neutral synonymous 0/12
Abiotic stress 3/12
Commensal microbiome 3/12
Predator-prey coevolution 6/12
Tumor immune escape 7/12
HIV CTL escape 8/12
Obligate parasite 8/12
Behavioral parasite 9/12

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Complete methodology, empirical data, falsifiable predictions, and kill conditions.

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Paper 41 · v1.1 · February 2026 · CC-BY 4.0 · 10.5281/zenodo.18746147