Numerical Data and Independent Verification for Holonomy-Weighted Clustering in Compactified SU(2) Lattice Gauge Theory

This dataset contains numerical results and reproducibility materials for Monte Carlo simulations of a five-dimensional \(SU(2)\) lattice gauge theory with a compact fifth direction and a double-trace holonomy deformation. Simulations employed a quaternion-based Metropolis algorithm on a \(4^4\times4\) lattice at \(\beta=0.6\), with deformation strengths \(h=0,0.2,0.5,1.0\). Each run included 500 thermalization sweeps and 2,500 production sweeps, recording 250 measurements. The archive includes original measurements, simulation metadata, acceptance histories, recovered research code, independent analysis scripts and verification results. Published statistical estimates were reproduced using 249 measurements per deformation strength, organized into 83 three-measurement jackknife blocks. Additional checks employed alternative block sizes, moving-block bootstrap analysis and comparisons with exact analytical predictions for the isolated holonomy measure. The results confirm deformation-dependent suppression of local holonomy fluctuations. Nonzero-distance connected correlations remain statistically unresolved; consequently, no physical screening mass is reported. The recovered generator's exact historical source-code identity has not been independently certified.