In the standard narrative of modern physics, the world is divided by scale. On the macroscopic level, classical mechanics dictates the predictable arc of a thrown ball or the orbit of a planet. But at the atomic level, these rules break down, replaced by the probabilistic, often bizarre equations of quantum mechanics. For nearly a century, these two realms have been treated as distinct territories requiring entirely different mathematical maps.
A new study from MIT, published in the *Proceedings of the Royal Society*, suggests the divide may be less absolute than previously thought. Researchers have demonstrated that the principle of "least action"—a foundational concept in classical physics—can be used to precisely calculate the motion of quantum objects. By applying this classical framework, the team arrived at the same solutions provided by the Schrödinger equation, the cornerstone of quantum theory.
The researchers tested their formulation against several hallmark quantum scenarios, including the double-slit experiment and quantum tunneling. In each case, the classical math successfully described phenomena that were once thought to be purely the domain of quantum mechanics. This discovery creates a rigorous mathematical bridge between the intuitive physical world we inhabit and the elusive, microscopic world of the atom, suggesting that the rules governing the very large and the very small are more deeply linked than we realized.
With reporting from MIT News.
Source · MIT News
