Relational Graph Theory (RGT)

Relational Graph Theory proposes that reality is not built from particles, fields, or spacetime, but from a dynamically evolving network of relations. It models the universe as a non-embedded graph whose nodes have no intrinsic properties and whose edges encode all physical structure. In this framework, space, time, matter, and physical laws emerge from the graph’s attempt to maintain logical and arithmetic consistency as it evolves. General Relativity and Quantum Mechanics appear as large-scale approximations of this deeper relational process: gravity arises from variations in graph density and connectivity, while quantum phenomena emerge from indexed relational pathways rather than wavefunction collapse or multiple worlds. Measurement is reinterpreted as a topological constraint imposed by larger relational systems on smaller ones, and cosmological expansion follows from the progressive sparsification of connectivity. The theory offers a unified, background-free ontology in which physics is not imposed on the universe but arises from the internal self-consistency of relational structure itself.