Discrete Interaction Network (DIN) Theory: Emergence of Fundamental Forces and Energy-Dependent Dispersion in a Unified Framework

Abstract We present the Discrete Interaction Network (DIN), a unified theoretical frame- work that models the universe as a network of fundamental discrete entities called Modulons. Each Modulon possesses a multidimensional state vector and interacts with other Modulons via weighted edges in a dynamic, discrete-time network. In this framework, particles emerge as stable subgraphs of Modulons, with their mass, charge, and spin determined by the collective state vectors. Forces—including gravity, electromagnetism, and the strong and weak nuclear interactions—arise naturally from state differences and network connectivity, while spacetime, curvature, and relativistic effects emerge as macroscopic properties of the network. Quantum phenomena such as superposition, entanglement, and measurement collapse arise directly from discrete network dynamics. Cosmological expansion, large-scale structure, dark matter, and dark energy are interpreted as emergent consequences of evolving network topology. DIN provides testable predictions at the Planck scale, in particle physics, and in cosmology, offering a novel alternative to conventional unification theories such as string theory. This framework unifies quantum mechanics, gravity, particle interactions, and cosmology under a single discrete, network-based paradigm.