SIQHU Validation Framework: Numerical Consistency and Cosmological Benchmarking

In this validation suite, we aimed to rigorously assess the numerical stability and physical consistency of the SIQHU framework via the Madelung-Gross-Pitaevskii equation. By implementing a series of sensitivity and convergence tests—spanning grid resolution, stochastic variation, Bohm potential sensitivity, and parametric sweeps—we confirmed that all primary cosmological benchmarks, including the CMB temperature, anisotropy, and acoustic peak, remain robust and consistent across all tested configurations. These findings affirm the mechanical soundness of the model, providing a stable foundation for inclusion in the final thesis and future peer review.