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- W3179231350 abstract "Abstract We recently proposed [1, 2] field equations that prescribe a metric g αβ ( x , τ ) that is local in the spacetime coordinates x and evolves with the external “worldtime” τ of the Stueckelberg Horwitz Piron (SHP) framework. As in SHP electrodynamics, these field equations exhibit a formal 5D symmetry ( α,β = 0, 1, 2, 3, 5), that is strategically broken to 4+1 representations of the Lorentz group. The resulting canonical formalism for this metric embodies a natural foliation of a 5D pseudo-manifold (encompassing both geometry and dynamics) into the τ -parameterized 4D spacetime posed in SHP theory. In this paper, we consider the linearized equations for weak gravitation in this 4+1 formalism, leading to a more straightforward and intuitive derivation of the coupled first-order evolution equations for the metric." @default.
- W3179231350 created "2021-07-19" @default.
- W3179231350 creator A5034319285 @default.
- W3179231350 date "2021-07-01" @default.
- W3179231350 modified "2023-09-27" @default.
- W3179231350 title "A new approach to the evolving 4+1 spacetime metric" @default.
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- W3179231350 doi "https://doi.org/10.1088/1742-6596/1956/1/012010" @default.
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