For decades, the world relied on Moore’s Law—the predictable doubling of transistors on a microchip—as a constant force of technological progress. However, this episode explores the "quiet, growing awareness" that this rhythm is finally faltering as transistors shrink to the scale of just a few dozen atoms. At this subatomic level, classical physics breaks down, and engineers face insurmountable hurdles like quantum tunneling and unmanageable heat.

The episode highlights how the most critical challenges of the twenty-first century—such as simulating protein folding for drug discovery, designing new battery chemistries, and modeling complex climate systems—have become "computationally dense" problems that even the world’s largest supercomputers cannot solve. As the gap between human ambition ...