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
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 |