Evolutionary Sequence of Spacetime and Intrinsic Spacetime and Associated Sequence of Geometries in Metric Force Fields II

Joseph, O. Akindele Adekugbe (2021) Evolutionary Sequence of Spacetime and Intrinsic Spacetime and Associated Sequence of Geometries in Metric Force Fields II. Physical Science International Journal, 25 (10). pp. 39-77. ISSN 2348-0130

[thumbnail of 695-Article Text-1349-1-10-20220915.pdf] Text
695-Article Text-1349-1-10-20220915.pdf - Published Version

Download (782kB)

Abstract

The geometry of curved ‘three-dimensional’ absolute intrinsic metric space (an absolute intrinsicRiemannian metric space)∅IˆM3, which is curved (as a curved hyper-surface) toward the absolutetime/absolute intrinsic time ‘dimensions’ (along the vertical), and projects a flat three-dimensionalabsolute proper intrinsic metric space∅IE′3aband its outward manifestation namely, the flat absoluteproper 3-spaceIE′3ab, both as flat hyper-surfaces along the horizontal, isolated in the first part ofthis paper, is subjected to graphical analysis. Two absolute intrinsic metric tensor equations,one of which is of the form of Einstein free space field equations and the other which is atensorial statement of absolute intrinsic local Euclidean invariance (A∅LEI) on∅IˆM3, are derived.Simultaneous (algebraic) solution to the equations yields the absolute intrinsic metric tensor andthe absolute intrinsic Ricci tensor of absolute intrinsic Riemann geometry on the curved∅IˆM3, interms of a derived absolute intrinsic curvature parameter. A superposition procedure that yields theresultant absolute intrinsic metric tensor and the resultant absolute intrinsic Ricci tensor, when twoor a larger number of absolute intrinsic Riemannian metric spaces co-exist (or are superposed) isdeveloped.

Item Type: Article
Subjects: Science Repository > Physics and Astronomy
Depositing User: Managing Editor
Date Deposited: 25 Feb 2023 06:50
Last Modified: 02 Jan 2024 12:47
URI: http://research.manuscritpub.com/id/eprint/395

Actions (login required)

View Item
View Item