Falsification Criteria for Universe-Scale Simulations: Resolving the DESI/DES Tension and Semi-Analytical Modeling Degeneracies via Non-Markovian Type II-infinity Projection (v2)

This paper establishes analytical falsification criteria for cosmological simulations using a quantum geometry framework based on Type II-infinity von Neumann algebras, addressing various astrophysical limitations and observational anomalies. Major Updates in Version 2 (v2)1. **Cross-Protocol Analytical Integration:** Synchronized cosmological parameters with the Roman Space Telescope Protocol.2. **Phase Boundary Numerical Constraints:** Refined mapping for the memory kernel.3. **Falsification Metric Calibration:** Aligned limits with the quantum geometry framework.4. **Comprehensive Bibliographic Expansion:** Updated references.5. **Code Reference Cleanup:** Streamlined script dependencies.