Stochastic Rupture: Numerical Evidence from Entanglement Percolation, Modular Variance Scaling, and Threshold Dynamics

We present numerical evidence for the structural predictions of the Stochastic Rupture (SR) framework [1], focusing on three independent simulation programs. First, direct computation of modular variance Var(Jz) confirms the GHZ/Bell scaling theorem: ISR[GHZN ] = N2/4 and ISR[BellN/2] = N/2, giving τBell/τGHZ ∼ N/2 for systems of equal total mass. Second, percolation simulations on entanglement networks reveal a universal scaling law for the Erd˝os– R´enyi topology: pc ·N = 1+√η, confirmed numerically for N = 50 to N = 1000 and converging to the theoretical value 1+√η as N → ∞. Third, these results are shown to depend on network topology in a structured way—reflecting the bond percolation critical exponents of each graph class—and are robust to random site defects up to 50%, with the universal form surviving after replacing N with Neff. Connections to the superfluid 4He λ-transition and to measurementinduced phase transitions in random quantum circuits are identified as consistency anchors, providing plausibility support without constituting independent tests of SR. The simulations suggest that η is experimentally calibrable from the entanglement percolation threshold of a physical platform, provided the underlying network topology is known.