Relativity and Cosmology

   

Hierarchy of Theories of Unified Gravity and Yynamics at the Neighborhood of Several Gravitational Field Sources. Part II.

Authors: Akindele O. Adekugbe Joseph

Corresponding to the special theory of relativity/intrinsic special theory of relativity (SR/φSR) and the theory of gravitational relativity/intrinsic intrinsic theory of gravitational relativity (TGR/φTGR) on flat four-dimensional spacetime/flat two-dimensional intrinsic spacetime, and the metric theory of absolute intrinsic motion (φMAM) and the metric theory of absolute intrinsic gravity (φMAG) on curved ‘two-dimensional’ absolute intrinsic spacetime, at the second stage of evolutions of spacetime/intrinsic spacetime and parameters/intrinsic parameters in every gravitational field, there are unified SR/φSR and TGR/φTGR on flat four-dimensional spacetime/flat two-dimensional intrinsic spacetime, denoted by SR/φSR+TGR/φTGR, and unified φMAM and φMAG on curved ‘two-dimensional’ absolute intrinsic spacetime, denoted by φMAM+φMAG. These unified theories are accomplished in this article for two cases of, (i) a test particle is in motion at a large velocity relative to an observer at the neighborhood of one, two and several gravitational field sources, and (ii) a gravitational field source, such as a massive star or a neutron star, is in motion at a large velocity relative to an observer in a region of space that is devoid of the gravitational field of any other source. These entail essentially the incorporation of the velocity v of relative motion into the results of TGR and of absolute intrinsic dynamical speed φVd of absolute intrinsic motion into the absolute intrinsic metric tensor φgik of φMAG, developed in the previous articles for the two situations. It is shown that the existing special theory of relativity, referred to as Lorentz-Einstein-Minkowski special relativity (LEM) in this article, is valid strictly for the relative motion of the electron or its anti-particle.

Comments: 29 Pages. An article in volume one of THE FUNDAMENTAL THEORY... monograph series on an evolving fundamental theory of physics on a many-world background, starting from a complete theory of relativity and gravitation in four-world.

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[v1] 2012-08-30 08:52:23

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