Speciation
Speciation is the τ-categorical lineage-fission morphism on the code-space fitness landscape: a population-level basin-bifurcation event where two sub-populations cross a saddle in the fitness landscape (VI.R20) and PPAS dynamics (VI.D50) drive them into disjoint defect-minimal basins. Reproductive isolation is its observable signature.
τ-Definition
Speciation is the τ-categorical lineage-fission morphism on the code-space fitness landscape: a population-level basin-bifurcation event where two sub-populations cross a saddle in the fitness landscape (VI.R20) and PPAS dynamics (VI.D50) drive them into disjoint defect-minimal basins. Reproductive isolation is its observable signature.
Categorical invariant. Speciation = bifurcation of a single Loop_L equivalence class into two disjoint classes under PPAS, occurring at saddle crossings of the fitness landscape — the long-time limit consequence of VI.T27 (Evolution as Optimisation).
Primary registry anchor:
VI.T27
τ-Derivation Chain
Empirical Correlate
Biomarker: Reproductive-isolation indices (Coyne-Orr); F_st population differentiation; fixed-difference allele counts; ring-species clines; hybrid-zone width; Bateson-Dobzhansky-Muller incompatibility loci.
Measurable range: Mammalian speciation timescales ~10⁵-10⁷ generations; F_st > 0.25 typically indicates strong differentiation; allopatric speciation can complete in <10⁴ generations under strong selection (cichlid radiations); hybrid-zone widths 1-100 km.
Observation method: Population-level whole-genome resequencing for F_st mapping; phylogenomics (ASTRAL, IQ-TREE) for divergence time estimation; reproductive-success crosses for hybrid-fitness measurement; ancient-DNA time-series for in-flight speciation tracking.
Calibration anchor: LG-Y02-kinetic-pseudoscalar-channel
Anchor chain:
- VI.L18 chirality channel
- homochirality conserved across every speciation event in the 3.5 Gyr biological record
- no known counterexample of a speciation event reversing the L-amino-acid / D-sugar handedness
Manuscript reference: manuscript-sources/book-06/part01/ch09-seven-hallmarks.tex
Lean Coverage
Status: Planned