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Particularization of the Sequence of Spacetime/intrinsic Spacetime Geometries and Associated Sequence of Theories in a Metric Force Field to the Gravitational Field.

Akindele O. Adekugbe Joseph

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Abstract

The two stages of evolution of spacetime/intrinsic spacetime and the associated spacetime /intrinsic spacetime geometries in a long range metric force field, isolated in previous papers, are particularized to the gravitational field. The theory of relativity on flat four-dimensional spacetime (E3, ct) and the intrinsic theory relativity on the underlying flat two-dimensional intrinsic spacetime (φρ, φcφt), due to the presence of a metric force field, as well as the absolute intrinsic metric theory (of the metric force field) on curved �two-dimensional� absolute intrinsic spacetime (φρ^, φc^φt^), which evolve at the second (and final) stage of evolution of spacetime/intrinsic spacetime in a long range metric force field, developed in the previous papers, become the theory of gravitational relativity (TGR) on the flat four-dimensional relativistic spacetime, the intrinsic theory of gravitational relativity (φTGR) on the underlying flat two-dimensional relativistic intrinsic spacetime and the metric theory of absolute intrinsic gravity (φMAG) on the curved �two-dimensional� absolute intrinsic spacetime in a gravitational field. The basic aspects of these co-existing theories in every gravitational field are developed.

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What this paper is about

The two stages of evolution of spacetime/intrinsic spacetime and the associated spacetime /intrinsic spacetime geometries in a long range metric force field, isolated in previous papers, are particularized to the gravitational field. The theory of relativity on flat four-dimensional spacetime (E3, ct) and the intrinsic theory relativity on the underlying flat two-dimensional intrinsic spacetime (φρ, φcφt), due to the presence of a metric force field, as well as the absolute intrinsic metric theory (of the metric force field) on curved �two-dimensional� absolute intrinsic spacetime (φρ^, φc^φt^), which evolve at the second (and final) stage of evolution of spacetime/intrinsic spacetime in a long range metric force field, developed in the previous papers, become the theory of gravitational relativity (TGR) on the flat four-dimensional relativistic spacetime, the intrinsic theory of gravitational relativity (φTGR) on the underlying flat two-dimensional relativistic intrinsic spacetime and the metric theory of absolute intrinsic gravity (φMAG) on the curved �two-dimensional� absolute intrinsic spacetime in a gravitational field. The basic aspects of these co-existing theories in every gravitational field are developed.

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Available abstract

The two stages of evolution of spacetime/intrinsic spacetime and the associated spacetime /intrinsic spacetime geometries in a long range metric force field, isolated in previous papers, are particularized to the gravitational field. The theory of relativity on flat four-dimensional spacetime (E3, ct) and the intrinsic theory relativity on the underlying flat two-dimensional intrinsic spacetime (φρ, φcφt), due to the presence of a metric force field, as well as the absolute intrinsic metric theory (of the metric force field) on curved �two-dimensional� absolute intrinsic spacetime (φρ^, φc^φt^), which evolve at the second (and final) stage of evolution of spacetime/intrinsic spacetime in a long range metric force field, developed in the previous papers, become the theory of gravitational relativity (TGR) on the flat four-dimensional relativistic spacetime, the intrinsic theory of gravitational relativity (φTGR) on the underlying flat two-dimensional relativistic intrinsic spacetime and the metric theory of absolute intrinsic gravity (φMAG) on the curved �two-dimensional� absolute intrinsic spacetime in a gravitational field. The basic aspects of these co-existing theories in every gravitational field are developed.

Key concepts: Stationary spacetime, Linearized gravity, Spacetime topology, Spacetime, Maxwell's equations in curved spacetime, Physics, Quantum field theory in curved spacetime, Spacetime symmetries

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Particularization of the Sequence of Spacetime/intrinsic Spacetime Geometries and Associated Sequence of Theories in a Metric Force Field to the Gravitational Field. — Research Paper | ScholarLens