Beyond the Singularity: Observational Signatures of Quantum-Gravity Bounces in Rotating Black Hole Shadows

The central singularity of a black hole represents a point where the classicallaws of General Relativity fail. This research explores a revolutionary alternative: the existence of non-singular, rotating cores that undergo a ”QuantumBounce” into a white hole phase. We construct a dynamic Kerr-like metric incorporating a time-dependent regularity scale q(v). Using the Hamilton-Jacobiformalism, we derive the temporal evolution of the shadow diameter Dsh(v) andpredict a specific observational phenomenon—the ”Shadow Heartbeat.” Thismodel is rigorously tested against the latest Event Horizon Telescope (EHT)data for M87∗ and SgrA∗, providing a practical pathway to verify quantumgravity through next-generation interferometry.