The TEAS Framework: Bridging Set Theory and Quantum Gravity with Predictive Experimental Signatures

The Third-order Enhanced Axiomatic System (TEAS) proposes a novel math ematical framework that connects Woodin cardinals from set theory to quantum gravity phenomena. This work presents theoretical predictions for LHC di-jet spec tra, LISA gravitational wave backgrounds, and proton decay rates, with fully em bedded computational models for reproducibility. While current experimental con straints limit direct verification, TEAS offers falsifiable deviations from the Stan dard Model and established quantum gravity paradigms. All code and visualiza tions are provided in a format compatible with PDFLaTeX, enabling independent validation.