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LIMITATIONS OF GAUGE INVARIANCE

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NEWTONIAN MECHANICS DIFFERS FROM OTHER FORMULATIONS<br />

It has just been seen that symmetries of the Hamiltonian (or Lagrangian)<br />

function provides information about conservation conditions.<br />

H or L are system functions containing information that is not present in<br />

Newtonian mechanics; these system functions depend on potentials.<br />

System functions cannot be written directly in terms of fields unless<br />

there is resort to nonlocal formalisms.<br />

Conclusion: Potentials contain more information than do the fields.<br />

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