Event-State Theory V: Empirical Evidence of Vacuum Stability in High-Information-Density Regimes

Abstract In high-luminosity collider physics, the vacuum is typically treated as a passive background where pileup (multiple collisions) acts as a source of additive stochastic noise. While statistical mechanics predicts that relative measurement uncertainty should decrease as the inverse square root of energy density \((1 / \sqrt{N})\), we investigate whether the vacuum adheres strictly to this stochastic limit or exhibits emergent ordering under stress. We report a statistically significant anomaly in 383,465 CMS Zero-Bias events (Run 2016H). We observe that as the local vacuum energy density \((\rho)\) exceeds \(3\sigma\) above the mean, the volatility of the Missing Transverse Energy \((MET)\) ratio decreases by 5.59% (\(Z = 7.83\), \(P \ll 10^{-10}\)). Crucially, this reduction in volatility exceeds the prediction of standard Poisson statistics, suggesting the presence of an "Excess Rigidity" in the vacuum. This implies that High Information Density imposes a thermodynamic constraint, forcing the system into a lower-entropy state to minimize computational cost (Topological Locking).