World Scientific Publishing, Modern Physics Letters A, 23(32), p. 1750122
DOI: 10.1142/s021773231750122x
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We show that the space of observables of test particles has a natural Jacobi structure which is manifestly invariant under the action of the Poincaré group. Poisson algebras may be obtained by imposing further requirements. A generalization of Peierls procedure is used to extend this Jacobi bracket to the space of time-like geodesics on Minkowski spacetime.