Our world is driven by the principle of least action. Why nature works by obeying the least action principle? There is a mathematical co...
There is a mathematical connection between Newton's law of motion and the least action principle (kinetic - potential energy is minimal). Newton's law can be derived from the least action formula. Is it the answer to why the least action governs nature?
No. Newton's laws cannot be "derived" or "proved" like proofs in Math. Instead, physical laws are conjectured and then studied through experiments. These laws can be verified under different limits, in which case the conjectured laws become an accepted theory, or they can be falsified in the experiments, in which case the conjectured can be trashed.
Newton's law is a fact about our nature. But what is the reason? There must be, should be a reason.
Then might be Newton's law is true because of the least action principle. Then Newton's law is an effect and not the cause of the least action. Then the least action principle shows something deeper to us about our universe, how our universe built up, and why it functions as it does.
What kind of the universe we are living where the least action principle is the effect of the governing laws? How to build a universe to make the least action be the governing principle?
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