Geometric Phase Evolution and String-like Excitations in Quantum Networks: An Entropic-Gravity EFT with Planck-Lattice Completion

This deposition accompanies the manuscript titled "Geometric Phase Evolution and String-like Excitations in Quantum Networks: An Entropic-Gravity EFT with Planck-Lattice Completion". We construct a conservative effective field theory (EFT) linking discrete (Planck-lattice / quantum-network) dynamics to emergent string-like excitations via geometric phases. The gravitational sector is an entropic-gravity action that reduces to GR in the weak-coupling regime. Standard axion-like couplings (\u03b8FF~ and \u03b8RR~) connect to testable signatures in condensed-matter systems (topological/axion insulators) and gravitational-wave birefringence. We also outline geometric-phase protocols on quantum simulators that can nucleate and probe vortex-string excitations