Experimental Validation of the S³ Scale Self-Duality Cosmic Model

Abstract This paper constructs a parameter-free geometric Theory of Everything (TOE) grounded in the core axioms of closed 3-sphere (S-cubed) cosmic geometry and Scale Self-Duality symmetry, with all fundamental physical constants rigorously derived from first principles. The theory delivers rigid, falsifiable predictions for critical physical quantities such as the Hubble constant (approximately 70.15 kilometers per second per megaparsec) and the total neutrino mass (approximately 0.06 electronvolts), and effectively resolves major core puzzles in physics including the Hubble tension, hierarchy problem and black hole information paradox. By virtue of geometric symmetry, this framework establishes a mathematically consistent bridge between quantum mechanics and gravity, clarifying that gravity is a geometric residual effect of cosmic scale duality and that the total cosmic entropy holds topological invariance. It also sets a stringent falsifiability criterion: the entire theoretical framework shall be falsified if the measured values of the Hubble constant or fine-structure constant deviate from the theoretical predictions by more than one part in 100,000. Upcoming high-precision cosmic surveys by the Euclid satellite and the Vera C. Rubin Observatory will verify the theoretical predictions of cosmic curvature and expansion rate. This study provides a complementary theoretical foundation for quantum gravity research and facilitates the collaborative advancement of unified physics.