Independent Confirmation of Haldane's Limit: Empirical Validation Through Observed Fixation Rates

In 1957, J.B.S. Haldane calculated that mammals could fix no more than approximately one beneficial substitution per 300 generations, based on the reproductive cost each substitution imposes on a population. This theoretical limit, derived from first principles of population genetics, has been disputed or ignored by the evolutionary establishment for nearly seven decades. We demonstrate that MITTENS (Mathematical Impossibility of The Theory of Evolution by Natural Selection) provides independent empirical confirmation of Haldane's theoretical framework. Using fixation rates observed in the Long-Term Evolution Experiment with E. coli and applying the empirically-derived Selective Turnover Coefficient (d ≈ 0.45), we calculate a maximum of 91 achievable fixations in the human lineage since the chimpanzee-human divergence. When the same generation overlap correction is applied to Haldane's framework—a correction he did not have access to in 1957—his method yields 487 achievable substitutions. Both figures fall catastrophically short of the 20 million fixations required, differing only in their assumptions about fixation time: Haldane's theoretical 300 generations versus the empirically observed 1,600 generations. The convergence of these independent approaches, one theoretical and one empirical, constitutes strong evidence that the substitution limit is real and that neo-Darwinian mechanisms cannot account for the observed genomic divergence between humans and chimpanzees.