Classical Mechanics Is Lagrangian ; It Is Not Hamiltonian

@inproceedings{Curiel2011ClassicalMI,
  title={Classical Mechanics Is Lagrangian ; It Is Not Hamiltonian},
  author={Erik Curiel},
  year={2011}
}
One can (for the most part) formulate a model of a classical system in either the Lagrangian or the Hamiltonian framework. Though it is often thought that those two formulations are equivalent in all important ways, this is not true: the underlying geometrical structures one uses to formulate each theory are not isomorphic. This raises the question whether one of the two is a more natural framework for the representation of classical systems. In the event, the answer is yes: I state and sketch… CONTINUE READING