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On a Two-Dimensional Symplectic Space-Time

Mathematical Physics 2007-05-23 v1 math.MP Symplectic Geometry

Abstract

We realize the hamiltonian action of the one spatial Poincare group G, analogous to the projective unitary representation, on a coadjoint orbit of G whic we interpret as a symplectic space-time where the time is associated to a physical quantity of cohomological origine (the force f). This time is the time delay necessary tor the system under the force f to have momentum p.

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Cite

@article{arxiv.math-ph/0305011,
  title  = {On a Two-Dimensional Symplectic Space-Time},
  author = {Joachim Nzotungicimpaye},
  journal= {arXiv preprint arXiv:math-ph/0305011},
  year   = {2007}
}

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