Three Falsifiable Predictions of Vacuum Geometric Hierarchical Elasticity Theory

This paper presents three core falsifiable predictions derived from the Vacuum Geometric Hierarchical Elasticity Theory, covering gravitational wave dispersion, topological breaking of the equivalence principle, and the energy scale transition of QCD deconfinement. First, gravitational waves travel through vacuum at speeds strictly less than the speed of light, with the velocity deviation proportional to the square of wave frequency. The dispersion effect is negligible within the LIGO frequency band, while millisecond-to-second time delays of high-frequency gravitational waves can be detected by space-based interferometers. Joint multi-band gravitational wave observations without frequency-dependent dispersion signals would falsify this prediction. Second, materials with distinct topological knot structures, such as ordinary baryonic matter and strange quark matter, gain different accelerations under identical gravitational fields, and objects with larger binding energy exhibit slower free-fall acceleration. Periodic deviations can be measured via lunar laser ranging and pulsar timing arrays; the theory will be invalidated if high-precision equivalence principle tests set a constraint threshold below 10^{-15} without detecting component-dependent anomalous signals. Third, a smooth elastic vacuum phase transition occurs at the critical deconfinement energy E_{dec}\approx 4.8×10^{18}\ \text{GeV}, where strong interactions deviate from asymptotic freedom, differing from the sharp phase transition predicted by standard QCD. A smooth inflection point in hadron jet yields is expected in ultra-high-energy cosmic rays and future colliders above 100 TeV. If strong interactions strictly follow QCD asymptotic freedom across all energy scales without pre-Planckian abnormal signals, the entire theoretical framework is ruled out. All three predictions provide clear observable windows and explicit falsification criteria, enabling the validation or exclusion of the Vacuum Geometric Hierarchical Elasticity Theory via astronomical observations and particle collision experiments available now or in the future.