A Toy Universe's Genesis Code: Self-Referential Relational Closure

This paper proposes a unified framework of physics based on relational ontology—the Relaton Universe. Starting from three minimal axioms (relations must close, each closure accumulates a fixed action, and degrees of freedom cannot be reused), the framework no longer treats time and space as a presupposed background; instead, time emerges as the cumulative count of closures of relaton pairs, and space as the projection of temporal beats. Mass is reduced to the number of closures per unit time, while force and potential are unified as the sine and cosine of a cross‑configuration interference angle. Elementary particles are interpreted as discrete configurations satisfying stability conditions. By introducing symmetry groups into the analysis of configurations, the complete mass spectrum of leptons, baryons, and mesons is derived systematically without any free parameters. The theoretical results agree with experimental values to precisions ranging from one part in a thousand to one part in a hundred thousand. Based on the same relaxation dynamics, the fine‑structure constant and the electron anomalous magnetic moment also receive natural explanations. On the cosmological side, the theory predicts a characteristic ratio sequence for galactic ring structures through a sinusoidal gravitational potential, which has been preliminarily tested against observations of several galaxies. This framework incorporates general relativity and quantum mechanics as, respectively, the continuous limit and the statistical emergence of the same logical system, offering a first‑principles route toward the unification of fundamental interactions based on relational ontology.