Quantum Mechanics and the Principle of Least Time
In this short video I would like to tell you about the pioneering work of Pierre de Fermat, who discovered that light is the laziest object in the universe, always preferring to take the path that minimises the amount of time spent travelling between two points. But perhaps what is even more exciting is that Fermat’s principle lies at the heart of one of the most successful scientific theories ever created, quantum electrodynamics. In this video I would like to show you why light is so lazy, and how Fermat’s principle connects with our modern formulation of quantum electrodynamics. So, if you are ready for the ride, let's get started.
References:
Feynman Lectures on Physics - Feynman
QED: The strange theory of light and matter - Feynman
Fermat’s Principle and Hamilton’s Principle:
Does a least action take a least time for happening? - Anderson and Hadi (https://iopscience.iop.org/article/10.1088/1742-6596/1467/1/012038/meta)
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