The Global Problem of Time

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pp., McGill 92-15

Scientific paper

Time does not obviously appear amongst the coordinates on the constrained phase space of general relativity in the Hamiltonian formulation. Recent work in finite-dimensional models claims that topological obstructions generically make the global definition of time impossible. It is shown here that a time coordinate can be globally defined on a constrained phase space by patching together local time coordinates, just as coordinates are defined on topologically non-trivial manifolds.

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