Complications: are all the stages needed?
Some physicists try to derive probabilities of actual outcomes directly from field theory, without a Hamiltonian or potential. Is the idea of a potential only an approximation suitable for some energy scales?
- I would ask: Are there not still some roles for mass, kinetic and potential energy, & energy conservation?
- I agree that a Hamiltonian (etc) is a ‘composite object’, whose detail reflects its genesis:
‘Natural things are more complicated,
and more beautiful, the more you look into them’