Quantum Simulation of Imaginary Time Dynamics Based on Hawking's Model

This OpenQASM 2.0 simulation models the fluctuation-driven dynamics of imaginary time as proposed by Stephen Hawking. The circuit initializes four quantum registers representing phase components under imaginary time conditions. A full Hadamard superposition models the absence of directional time, simulating pure quantum fluctuations. Slight phase perturbations are introduced to represent vacuum energy distortions that occur in the absence of classical time flow. The final measurements capture the distribution of phase-based fluctuations, offering a quantum-level view of imaginary time behavior. This model provides a foundational framework to study the cyclical, non-linear nature of time in quantum cosmology and vacuum physics.