Einstein's theory of general relativity predicts that black holes contain singularities, points of infinite density, which indicate a breakdown in the theory. The singularity is not a physical center but a future state for anything crossing the event horizon, making it inevitable for infalling matter. Current models suggest that matter reaches the singularity in finite time according to its own clocks, despite the concept of infinite density being problematic. The discussion highlights the need for a more complete theory to address these singularities, similar to how fluid dynamics breaks down at points of infinite amplitude. Understanding the underlying principles of spacetime may eventually resolve these issues.