Abdullah's Evolutionary System — Core Definitions

Evolution (ΔG): ΔG = G(t₂) − G(t₁) Change in genetic position between two time points. Evolutionary Speed (E): E = ΔG/Δt = (G₂ − G₁)/(t₂ − t₁) Continuous limit: E = dG/dt Evolutionary Distance (L): L = |G₁ − G₂| Instantaneous difference between two individuals. L = 0 means identical individuals. Main Inheritance Equation: G⟨σ⟩(t) = α_A⟨σ⟩ · G⟨σA⟩(t) + α_B⟨σ⟩ · G⟨σB⟩(t) + Λ⟨σ⟩ where: Λ⟨σ⟩ = k⟨σ⟩ ∫ ε⟨σ⟩(t) dt (from t₁⟨σ⟩ to t₂⟨σ⟩) - G⟨σ⟩(t): genetic value of individual ⟨σ⟩ at time t- α_A⟨σ⟩, α_B⟨σ⟩ ∈ [0,1], with α_A⟨σ⟩ + α_B⟨σ⟩ = 1 (recombination fractions from mother/father)- k⟨σ⟩ ∈ [0,1]: epigenetic transmission constant- ε⟨σ⟩(t) = dG/dt: individual evolutionary speed- t₁⟨σ⟩: mating instant that created the individual (node point)- t₂⟨σ⟩: any moment of the individual's life --- All ideas, definitions, axioms, and formulas belong to Abdullah Baran. Claude served only as scribe — typesetting and mathematical verification only. [e-mail] | x.com/realABaran | ORCID: 0000-0003-2935-1835