Testable Predictions and Experimental Verification Roadmap of the S^3 Noncommutative Geometry Grand Unified Theory

This paper, authored by Xinyu Zheng, systematically elaborates all testable physical predictions of the S^3 noncommutative geometry grand unified theory, which is built on noncommutative geometry, quantum group representation theory and scale self-duality axiom with no free parameters or artificial fitting. The predictions cover particle physics, cosmology, quantum gravity, black hole physics and other fields, and are classified into short-term (3-10 years), medium-term (10-20 years) and long-term (over 20 years) categories according to the experimental verification time window. For each prediction, the paper clarifies its theoretical origin, quantitative results, corresponding experimental facilities and falsification criteria, and constructs a complete and executable experimental verification roadmap. The theory’s core advantage lies in its strict falsifiability: its key hypotheses can be tested by under-construction experiments in 5-10 years, with neutrino mass ordering and cosmic spatial curvature measurements being the decisive early tests. This work provides clear experimental criteria for verifying the geometric unification framework of the Standard Model, gravity and flavor physics, and offers a new direction for the experimental exploration of fundamental physics unification.