author={Itzhak Bars},
  journal={International Journal of Modern Physics A},
  • I. Bars
  • Published 5 April 2010
  • Physics
  • International Journal of Modern Physics A
Position and momentum enter at the same level of importance in the formulation of classical or quantum mechanics. This is reflected in the invariance of Poisson brackets or quantum commutators under canonical transformations, which I regard as a global symmetry. A gauge symmetry can be defined in phase space (XM, PM) that imposes equivalence of momentum and position for every motion at every instant of the worldline. One of the consequences of this gauge symmetry is a new formulation of physics… 

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