Relativity and Cosmology


Evolutionary Sequence of Spacetime/intrinsic Spacetime and Associated Sequence of Geometries in a Metric Force Field. Part I.

Authors: Akindele J. Adekugbe

Having isolated a four-world picture in which four symmetrical universes in different spacetime domains coexist and in which an isolated two-dimensional intrinsic spacetime underlies the four-dimensional spacetime in each universe, and having shown that the special theory of relativity rests on a four-world background elsewhere, we review the geometry of spacetime/intrinsic spacetime in a long-range metric force field within the four-world picture in the four parts of this paper. We show within an elaborate programme that the four-dimensional metric spacetime and its underlying two-dimensional intrinsic metric spacetime undergo two stages of evolution in the sequence of absolute spacetime/absolute intrinsic spacetime → proper spacetime/proper intrinsic spacetime → relativistic spacetime/relativistic intrinsic spacetime in all finite neighborhood of a long-range metric force field and that these are supported by a sequence of spacetime /intrinic spacetime geometries. The programme takes off in this first paper by isolating two classes of three-dimensional Riemannian metric space namely, the conventional three-dimensional Riemannian metric space and a new 'three-dimensional' absolute intrinsic Riemannian metric space.

Comments: 11 pages. Submitted to Progress in Physics

Download: PDF

Submission history

[v1] 30 Nov 2010

Unique-IP document downloads: 67 times

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus