## 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:** 54 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.*

*
*