The Interaction Line Protocol (ILP) & Topological Geodesic Network Formalism (TGNF)

This monograph serves as the definitive, comprehensive foundation for the Interaction Line Protocol (ILP), mathematically formalized as the Topological Geodesic Network Formalism (TGNF). By modeling the universe as a Dynamical Simplicial Complex—a discrete bipartite graph of zero-dimensional nodes (mass) and one-dimensional geometric constraints (interaction lines)—we provide a purely mechanical unification of physics. Key breakthroughs and derivations include: * Hubble Tension Resolution: An exact predictive calculation of $73.38$ km/s/Mpc derived from the mechanical deletion of topological edges via black hole collapse. * Dark Matter derivation: Proving the $85%$ mass-energy deficit as the integrated tension energy of the universal web. * Neutrino Mass Threshold: A maximum environmental threshold of $0.0494$ eV based on nodal interaction probabilities. * Forward Prediction (Lorentz Invariance Violation): A specific, falsifiable prediction of Topological Vacuum Dispersion observable in Gamma-Ray Bursts, establishing the discrete "granularity" of the vacuum. * Thermodynamic Unification: Re-defining heat, entropy, and specific heat through the Nodal Connectivity Law. This monograph provides a singular mechanical source code for mass, space, time, and gravity, suggesting a perpetual, self-correcting cosmic web in infinite equilibrium