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Flat Spacetime Gravitation with a Preferred Foliation
Authors:J B Pitts  W C Schieve
Institution:(1) Ilya Prigogine Center for Studies in Statistical Mechanics and Complex Systems, Department of Physics, The University of Texas, Austin, Texas, 78712;(2) Ilya Prigogine Center for Studies in Statistical Mechanics and Complex Systems, Department of Physics, The University of Texas, Austin, Texas, 78712
Abstract:Paralleling the formal derivation of general relativity as a flat spacetime theory, we introduce in addition a preferred temporal foliation. The physical interpretation of the formalism is considered in the context of 5-dimensional ldquoparametrizedrdquo and 4-dimensional preferred frame contexts. In the former case, we suggest that our earlier proposal of unconcatenated parametrized physics requires that the dependence on tau be rather slow. In the 4-dimensional case, we consider and tentatively reject several areas of physics that might require a preferred foliation, but find a need for one in the process (ldquoflowingrdquo) theory of time. We then suggest why such a foliation might reasonably be unobservable.
Keywords:
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