Flat Spacetime Gravitation with a Preferred Foliation

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 “parametrized” 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 τ 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 (“flowing”) theory of time. We then suggest why such a foliation might reasonably be unobservable.

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Pitts, J.B., Schieve, W.C. Flat Spacetime Gravitation with a Preferred Foliation. Foundations of Physics 31, 1083–1104 (2001). https://doi.org/10.1023/A:1017578424131

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Keywords

  • General Relativity
  • Parametrized Physic
  • Physical Interpretation
  • Temporal Foliation
  • Formal Derivation