Particularization of the Sequence of Spacetime/Intrinsic Spacetime Geometries and Associated Sequence of Theories in Metric Force Fields in the Four-world Picture to the Gravitational Field I

O. Akindele Adekugbe Joseph *

Department of Physics, Ondo State University of Science and Technology, Center for the Fundamental Theory and Unification, Okitipupa, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

The two stages of evolutions of metric spacetime and intrinsic metric spacetime and the associated spacetime/intrinsic spacetime geometries in long range metric force fields, derived in the four-world picture in previous articles, are particularized to the gravitational field. The theory of relativity on flat four-dimensional gravitational-relativistic metric spacetime \((\mathbb{E}^3, c_s t\)) and the theory of intrinsic relativity on the underlying flat two-dimensional gravitational-relativistic intrinsic metric spacetime \((\varnothing \rho, \varnothing c_s \varnothing t\)), due to the presence of a long range metric force field in spacetime, as well as the absolute intrinsic metric theory (of the metric force field) on the curved 'two-dimensional' absolute intrinsic metric spacetime \((\varnothing \hat{\rho}, \varnothing \hat{c}_s \varnothing \hat{t}\)) with absolute intrinsic metric tensor \(\varnothing \hat{g}_{i k}\), all of which evolve at two stages of evolutions of metric spacetimes and intrinsic metric spacetimes in long range metric force fields in general, developed in the previous articles, are adapted to the gravitational field.
They become the theory of gravitational relativity (TGR) on the flat four-dimensional relativistic metric spacetime, the theory of intrinsic gravitational relativity (TøGR) on the underlying flat two-dimensional relativistic intrinsic metric spacetime and the metric theory of absolute intrinsic gravity (MA \(\varnothing\) G) on the curved 'two-dimensional' absolute intrinsic metric spacetime, which evolve at two stages of evolutions of metric spacetime and intrinsic metric spacetime in a gravitational field of arbitrary strength. The basic aspects of these coexisting theories in the gravitational field are developed.

Keywords: Simultaneous two stages of evolutions of spacetime/intrinsic spacetime, associated space-time/intrinsic spacetime geometries, particularization to the gravitational field, flat four-dimensional spacetime, curved ‘two-dimensional’ absolute intrinsic spacetime, absolute intrinsic metric tensor, metric theory of absolute intrinsic gravity, theory of gravitational relativity, gravitational length contrac-tion/time dilation


How to Cite

Joseph, O. A. A. (2022). Particularization of the Sequence of Spacetime/Intrinsic Spacetime Geometries and Associated Sequence of Theories in Metric Force Fields in the Four-world Picture to the Gravitational Field I. Physical Science International Journal, 26(5), 73–111. https://doi.org/10.9734/psij/2022/v26i5746

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References

Joseph OAA. Reformulating special relativity on a two-world background. Physical Science International Journal. 2020;24(8):44-87. Available:https://doi.org/10.9734/psij/ 2020/v24i830209.

Joseph OAA. Reformulating special relativity on a two-world background II. Physical Science International Journal.

;24(9):34-67.

Available:https://doi.org/10.9734/psij/ 2020/v24i930215.

Joseph OAA. Re-interpretation of the two- world background of special relativity as four-world background I. Physical Science International Journal. 2020;24(12):10-38. Available:https://doi.org/10.9734/psij/ 2020/v24i1230229.

Joseph OAA. Re-interpretation of the two- world background of special relativity as four-world background II. 2021;25(2):37-57. Available:https://doi.org/10.9734/psij/ 2021/v25i230243.

Joseph OAA. Evolutionary sequence of spacetime/intrinsic spacetime and associated sequence of geometries in metric force fields I. Physical Science International Journal. 2021;25(10):1-20. Available:https://doi.org/10.9734/psij/ 2021/v25i1030284.

Joseph OAA. Evolutionary sequence of spacetime/intrinsic spacetime and associated sequence of geometries in metric force fields II. Physical Science International Journal. 2021;25(10):39-77. Available:https://doi.org/10.9734/psij/ 2021/v25i1030287

Joseph OAA. Evolutionary sequence of spacetime/intrinsic spacetime and associated sequence of geometries in metric force fields III. Physical Science International Journal. 25(10):78-112. Available:https://doi.org/10.9734/psij/ 2021/v25i1030288.

Joseph OAA. Evolutionary sequence of spacetime/intrinsic spacetime and associated sequence of geometries in metric force fields IV. Accepted for publication in Physical Science International Journal.

Einstein A. On the electrodynamics of moving bodies. In: The Principle of Relativity: a collection of original papers on the special and general theories of relativity. Courier Dover Publications. 1952;37-65.

Einstein A. The foundation of the general theory of relativity. In: The Principle of Relativity: a collection of original papers on

the special and general theories of relativity. Courier Dover Publications. 1952;37-65, 111-164.

Bondi H. Review of Modern Physics. 1957;29(3):423-428.

Bonnor WB. Gen. Relat. Grav. 1989;21:1143-1157.

Weinberg S. Gravitation and cosmology. John Wiley and Sons, Inc. New York; 1972.

Moller C. The theory of relativity. Second Edition, (Oxford University Press); 1972.