A Continuous Logarithmic Scaling Model Relating Biological Ontogeny to Evolutionary Phylogeny: The Onto-Phylogenetic Singularity Boundary

Abstract

This paper proposes a novel theoretical framework designated as T(\tau), aiming to model embryonic development and cellular differentiation dynamics through a quantitative approach. By formalizing temporal and physiological transitions during early morphogenesis, T(\tau) provides a structured mathematical perspective on developmental stages. This work serves as a foundational preprint for further mathematical modeling in developmental biology and theoretical genetics.