Unified Tree Law of Cell Differentiation — Topological Theory of Life Systems Based on Stem Cells

The current field of cell biology faces a core dilemma: "fragmented research and a lack of a unified underlying theory". Most studies on cell differentiation focus on the local mechanisms of a single species and a single cell type, and a unified theoretical system covering multiple species and all cell types has not yet been established. Taking stem cells as the unified origin, this paper constructs a tree-like topological structure of "root node - trunk - branch - terminal", completes the theoretical formal expression through simple text and logical arrows, and proposes the unified tree law of cell differentiation. This law integrates the cell differentiation rules of multicellular organisms such as animals, plants, and fungi, and combines 5 falsifiable experimental predictions (including iPS cell-related predictions to directly verify the universality of the energy gradient and tree-like path), molecular mechanism connections, and counterexample explanations to clarify the theoretical scope of application (natural differentiation of multicellular organisms, excluding artificial intervention and pathological states), thereby filling the gap in the field of cell differentiation where a unified theory is lacking. The tree-like topological theory constructed in this paper is the first cross-species unified framework in the field of cell differentiation, featuring law-level rigor and falsifiability. It provides a new underlying theoretical system for cell biology and core theoretical support for cell differentiation research, disease treatment, and cell fate regulation.