Date of Award
1974
Document Type
Thesis
Publication Status
Version of Record
Submission Date
October 2026
Thesis/Dissertation Advisor [Chair]
McGuire, James B.
Abstract
A 4N-dimensional formalism is developed and a corresponding space is found. The necessity of coupling the particle's proper times to one parameter is discussed. The appropriate conditions and constraints which relate this space to the ordinary 4-space are found. The transformation properties which are consistent with general 4-space transformations are determined. These transformation properties are used to determine the form of the 4x4 matrices making up the 4N-dimensional metric tensor. The form of these matrices indicates they represent interactions between particles. The diagonal matrices are shown to represent gravitational interaction and the off-diagonal matrices to represent other interparticle interactions. A metric theory to cover all interparticle interactions is then proposed. The equations of motion for one particle in this 4N-dimensional space are found. These equations are then related to the motion of N interacting particles in 4- space . Finally, an approximation procedure is applied to determine the first order equations of motion.
Extent
84 p.
Recommended Citation
BEYL, LAWRENCE MICHAEL, "MULTIDIMENSIONAL FORMULATION OF THE GENERAL RELATIVISTIC EQUATIONS OF MOTION" (1974). Electronic Theses and Dissertations 1970 - 1979. 298.
https://digitalcommons.fau.edu/etd_general_2/298
Identifier
FADT13659
Comments
Thesis (M.S.)--Florida Atlantic University, 1974.|Charles E. Schmidt College of Science|FAU Electronic Theses and Dissertations Collection|Thesis (M.S.)--Florida Atlantic University, 1974.