Granular Entropic Physics: A Minimal Self-Consistent Framework with Emergent Spectral Dimension

This work presents a minimal, self-consistent summary of the Granular Entropic Physics (GEP) framework, in which spacetime is modeled as a discrete network of nodes connected by local and nonlocal links. The primary focus is on the emergence of effective dimensionality from network connectivity. Using both analytical arguments and numerical simulations, the study shows that adding nonlocal connections (“wormholes”) to a local lattice leads to anomalous diffusion of Lévy type and increases the spectral dimension from approximately 3 to values around 6. This result is obtained without introducing free fitting parameters, with all behavior emerging from the underlying network structure. The framework further suggests that quantum decoherence and large-scale cosmological properties may arise from the same connectivity-driven mechanisms, although these aspects are presented as heuristic extensions requiring further development. Overall, the work proposes that spacetime geometry, effective dimensionality, and aspects of quantum behavior can be understood as emergent properties of an underlying network governed by entropic and topological principles.