Actually principle of extremal action - why should it be true?
Meaning in the ultimate sense - why should universe follow it? not in the sense we can derive newton's 2nd law from this.
what is this thing called action?
I can [sort of] understand energy, force, displacement etc. What is this? It looks like ultimate cooked up thing.
atleast hamiltonian H [in conserved case], I can think of as energy.
But what is this Lagrangian?
[I know QM generalises it to all the paths. So least action is just special case - but still what is it, that it is generalising?]
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