Why Doesn't the Electron Fall into the Nucleus?

Classical physics predicts that an electron orbiting the nucleus would radiate energy and spiral into the nucleus, causing the atom to collapse. Quantum mechanics offers a different explanation. Electrons don't orbit in defined paths but exist in a probability cloud, with their position and momentum subject to the Heisenberg uncertainty principle. As an electron approaches the nucleus, its potential energy decreases, and its kinetic energy increases, reaching a balance that prevents it from falling in. Probability density plots show the electron is most likely near the nucleus, but radial probability plots show the highest probability at the Bohr radius. This explains atomic stability and highlights the fundamental difference between quantum and classical mechanics.