Phase Inversion Dynamics under Anti-Time Modulation

This simulation models how varying phase angles influence quantum energy oscillations under anti-time modulation. The Python script visualizes the real component of time-evolving energy E(t)=E0eiφ(t)E(t) = E_0 e^{i\varphi(t)}E(t)=E0​eiφ(t), where φ(t)=θ⋅fanti(t)\varphi(t) = \theta \cdot f_{\text{anti}}(t)φ(t)=θ⋅fanti​(t). It captures the coherent modulation effect of anti-time, emphasizing the sensitivity of phase transitions to angular variation. This result supports the theoretical basis discussed in the manuscript's quantum phase inversion framework.