Granular Entropic Physics: Unified Theory from Discrete Spacetime Network

Granular Entropic Physics (GEP) is a unified theoretical framework in which spacetime geometry, gauge interactions, and matter emerge from a single microscopic structure: a Planck-scale tetrahedral network endowed with a Z₂ gauge field. Starting from minimal axioms, the framework derives the Standard Model gauge group SU (3) ×SU (2) ×U (1), three fermion generations with correct quantum numbers, anomaly cancellation, confinement, the Weinberg angle, Lorentz invariance as an infrared fixed point, and Friedmann-Robertson-Walker cosmology with a natural cosmological constant. The theory provides explicit mechanisms for fermionic statistics from topological linking, Pauli exclusion from Z₂ flux holonomy, CKM mixing from geometric twist correlations, neutrino mass hierarchy, CP violation phase, strong coupling constant, Starobinsky inflation, dark matter as volume excitations, and black hole thermodynamics without singularities. We prove analytically that the critical stability threshold is Kcrit = 3/2 independent of all parameters, derive the effective spectral dimension dₑff = 6. 3 from holographic wormhole distributions, and demonstrate that proton decay is topologically forbidden. The framework has survived comprehensive adversarial testing against Ostrogradsky instability, Derrick's no-go theorem, Lorentz violation bounds, anomaly consistency, fermion statistics, gauge algebra closure, and all standard quantum field theory constraints. Nine testable predictions are presented, including tensor-to-scalar ratio r = 0. 0037, gravitational wave background at approximately 0. 01 Hz, and absolute proton stability. All results are derived without free parameters.