Entanglement Before Geometry: Random Tensor Networks as the Quantum Completion of the Flux-Gauge Area Law
This paper bridges the gap between combinatorial flux-gauge models and quantum tensor networks by demonstrating that SU(N) link ensembles constitute exact tensor networks whose random intertwiner distributions and renormalization-group structure naturally reproduce the Ryu–Takayanagi area law, thereby establishing a rigorous quantum derivation of emergent spacetime geometry from gauge-theoretic microstates.