Evolution

Evolution is the τ-categorical PPAS (Persistence-Preserving Adaptive Search) operating on code space: heritable code variation plus differential persistence drives a monotone-non-increasing trajectory of average defect across populations. It is the seventh hallmark of life (VI.T14) — a category-theoretic optimisation procedure, not a metaphor.

Categorical invariant. Evolution = PPAS on code space C: at each generational step, average defect ⟨Δ⟩ is monotone non-increasing under the joint action of variation (VI.D49 recombination + mutation) and selection (differential persistence in Loop_L).

Primary registry anchor: VI.T14

Supporting items: VI.D50, VI.T27, VI.D49, VI.D11, VI.R20

1. I.K0 — Universe Postulate
2. VI.D15 — Life Sector
3. VI.D49 — Recombination Functor — variation operator
4. VI.D50 — PPAS Algorithm on Fitness Landscapes
5. VI.T14 — Evolution = PPAS optimisation — seventh hallmark
6. VI.T27 — Evolution as Optimisation — long-time-limit theorem

Biomarker: Per-base substitution rate; dN/dS ratio for selection signature; Tajima's D for population-genetic departures from neutrality; allele frequency change Δp per generation; lineage divergence times (BEAST/RAxML).

Measurable range: Mammalian per-base mutation rate ~1.2×10⁻⁸ per generation; dN/dS <1 indicates purifying selection (typical), >1 indicates positive selection (rare); allele fixation time ~4N_e generations under drift.

Observation method: Whole-genome resequencing across populations; trio sequencing for de-novo mutation rate; phylogenetic reconstruction (BEAST, IQ-TREE); experimental evolution (LTEE Lenski) for direct fitness trajectories; ancient DNA for time-calibrated allele tracking.

Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel

Anchor chain:

1. VI.L18 chirality channel
2. homochirality conservation across all 3.5 Gyr of biological evolution
3. stereospecific genetic-code translation preserved at every speciation event

Manuscript reference: manuscript-sources/book-06/part01/ch09-seven-hallmarks.tex

Status: Planned

Related glossary entries

• LG-P11-speciation Speciation
• LG-P06-cellular-replication Cellular Replication
• LG-Y02-kinetic-pseudoscalar-channel Kinetic Pseudoscalar Channel

Referenced by

• LG-P11-speciation Speciation
• LG-P13-morphogenesis Morphogenesis