Abstract
This paper proposes the Dynamic Fractal Theorem of Relation (DFTR), a unified ontological framework describing how coherence arises and endures across physical, biological, cognitive, and social systems. The theorem posits that existence is constituted not by static entities but by a recursive triad of rupture, repair, and care—the operations through which relational fields sustain integrity over time. Drawing from general relativity, thermodynamics, systems theory, neuroscience, and phenomenology, DFTR identifies communication as the universal mechanism of persistence. Rupture introduces asymmetry and information; repair integrates that information into renewed structure; care maintains the conditions for further transformation. This triadic dynamic produces the fractal continuity observed in complex systems, where coherence replicates itself across scale.
The paper situates DFTR in dialogue with panpsychism, process philosophy, Integrated Information Theory, and enactivism, showing how it preserves their insights while supplying the missing recursive engine that links being, knowing, and meaning. It demonstrates the theorem’s empirical resonance through case analyses in physics, biology, and cognition, and explores its ethical implications: if coherence depends on communication, then care becomes a structural imperative rather than a moral preference. DFTR thus offers both a descriptive and normative model—a theory of existence and a practice of repair—suggesting that the universe evolves through the same operation by which understanding, healing, and creativity unfold.