Evolution: Biological Organization as Structural Depth Increase

This paper extends the Structural Depth framework to biological evolution, following previous works on time, markets, quantum systems, and phase transitions. Evolution is redefined as an increase in structural depth rather than a mere expansion of configurational diversity. Biological systems develop through containment expansions, expressed as Aₖ → A_ (k+1), where each new layer embeds the previous one (Aₖ ⊂ A_ (k+1) ). The study proposes that major evolutionary transitions — from molecules to cells, from organisms to cognitive systems — occur when configurational diversity exceeds a critical threshold (Ωₖ > Ωc), triggering the emergence of a new organizational layer and an increase in structural depth (Θ_ (k+1) = Θₖ + 1). A dual dynamic is introduced: - Diversity (ΔΩ >> 0): mutation and variation- Organization (ΔΘ > 0): structural integration and hierarchy Within this framework, natural selection is interpreted as a mechanism that stabilizes structures increasing depth rather than merely selecting for survival. This work contributes to a unified theory of structural evolution, bridging biology with information theory, thermodynamics, complex systems, and the Structural Depth Law of Time. It further suggests that the next evolutionary phase may arise through the integration of biological intelligence and artificial systems, forming a new containment layer.