Falsification Criteria for Universe-Scale Simulations: Resolving the DESI/DES Tension and Semi-Analytical Modeling Degeneracies via Non-Markovian Type II-infinity Projection

This paper establishes rigorous analytical falsification criteria for universe-scale cosmological simulations, targeting fundamental structural limitations in Santa Cruz Semi-Analytical Models (SAM) and Galactic Exoplanet Survey mock catalogs. By deploying a non-perturbative quantum geometry framework constructed on semi-finite Type II-infinity von Neumann algebras, we resolve the pathological ultraviolet vacuum entropy divergences inherent to standard Type III_1 formulations. We demonstrate that the apparent time-dependent dark energy "drift" reported by the Dark Energy Spectroscopic Instrument (DESI) and the Dark Energy Survey (DES) is an epistemological projection artifact. This illusion is induced by forcing a time-nonlocal quantum memory structure onto a local, single-state Newtonian potential baseline. Solving the stationary phase condition for the non-Markovian Nakajima-Zwanzig memory kernel maps a topologically protected spatial interference peak directly to the cosmic redshift z ~ 0.51. Specific operational boundaries for the Wide Field Instrument (WFI) onboard the Nancy Grace Roman Space Telescope are mathematically formalized to definitively break the simulation degeneracies. The standalone Python script 'simulation_kernel.py' executing the stationary phase optimization routines is deposited concurrently within this archive for open-science replication.