Why classical physics predicts that every atom should collapse instantly
In short: If you apply standard Newtonian mechanics to an atom, the electron shouldn't stay in orbit at all. This video calculates the exact timeframe for atomic collapse to demonstrate why classical laws fail at the subatomic level.
By applying Coulomb’s law and Newtonian mechanics to a hydrogen atom, we can model the electron as a moving charge. According to these classical rules, an orbiting electron should continuously radiate energy. The video uses the Larmor equation for energy radiation to derive a differential equation that determines how quickly this loss of energy forces the electron to spiral inward.
The resulting calculation reveals a fundamental flaw in classical physics: it cannot account for atomic stability. This exercise serves as a primary example of why quantum mechanics is necessary to explain why matter doesn't simply collapse into itself.
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Sources
- Summary by Intellect · source: How long does it take an electron to spiral into the nucleus? The death of classical physics
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