On a Two-Dimensional Symplectic Space-Time

Physics – Mathematical Physics

Scientific paper

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Scientific paper

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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