Verification of Imaginary Energy(+Gravity) in Complex Phase Space

This study aims to verify the existence and physical meaning of imaginary energy using complex oscillator dynamics (COD).Imaginary energy is interpreted as the elastic potential energy of space and forms a complex field structure that is balanced by the real gravitational energy.This is analyzed with existing data, where gravity and residual (imaginary energy) were confirmed in the following three high-precision experiments: 1.Atomic interference experiments2.Satellite-based Gravitational Field Observatory (GRACE)3.Gravitational-wave interferometer (LIGO/VIRGO)Each experiment can capture residual anomalous signals consistent with the imaginary phase structure. Additionally, the complex Poisson equation simulations were performed on the real potential (gravity) and It demonstrates that imaginary potentials (elasticity) coexist harmoniously with a 90-degree phase difference.This universal Hamiltonian represents the perfectly symmetric energy structure of the universe. Conclusion: The imaginary energy of complex numbers is not simply a mathematical tool. It is a (+) gravity, symmetrical to (-) gravity, and is essential for the equilibrium of the universe and the expansion and contraction of cosmic space, consistent with the Riemann 1/2 symmetry principle.