Structural Validation of TFCM (Quantum Viscoelastic Continuum) Cosmological Simulation against GWTC-5.0 Gravitational Wave Population

Abstract: This dataset provides the simulation output and statistical validation pipeline comparing the Quantum Viscoelastic Continuum (TFCM) cosmological framework against the LIGO/Virgo/KAGRA GWTC-5.0 observational catalog. The study evaluates the structural mass-function generated by the TFCM substrate at a 2560^3 lattice resolution against observed gravitational wave event distributions. Methodology: Structural Extraction: Structures were isolated from the viscoelastic substrate using an absolute density threshold of 0.55. Statistical Validation: A Kolmogorov-Smirnov (K-S) test was employed to quantify the divergence between the simulated structural mass-function and the observational chirp-mass distribution. Efficiency: The validation confirms that the TFCM model provides a computationally efficient alternative to traditional N-body particle simulations, achieving structural convergence without the need for sub-grid multi-physics recipes. Files included: tfcm_gw_validation_v1.py: Python pipeline for data extraction and K-S statistical analysis. simulation_slices_0000_0800.zip: Simulation checkpoints used for structural analysis. validation_plot_ks_cdf.png: Visual representation of the K-S test (Cumulative Distribution Function overlap). validation_execution_log.txt: Terminal output demonstrating pipeline execution and statistical results. Data Citation: The GWTC-5.0 catalog used for validation was sourced from the official IGWN portal. [ https://zenodo.org/records/20276130/files/IGWN-GWTC5p0-59d160a18_25-SearchSummaryTable.hdf5?download=1 ].