Note
Thesis (M.S.)--Florida Atlantic University, 1974.
Member of
Contributors
Publisher
Florida Atlantic University
Date Issued
1974
Description
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.
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.
Language
Type
Form
Extent
84 p.
Subject (Topical)
Identifier
13659
Additional Information
Thesis (M.S.)--Florida Atlantic University, 1974.
Charles E. Schmidt College of Science
FAU Electronic Theses and Dissertations Collection
Date Backup
1974
Date Text
1974
Date Issued (EDTF)
1974
Extension
FAU
FAU
admin_unit="FAU01", ingest_id="ing1508", creator="staff:fcllz", creation_date="2007-07-19 01:25:33", modified_by="staff:fcllz", modification_date="2011-01-06 13:09:01"
IID
FADT13659
Issuance
monographic
Organizations
Attributed name: Florida Atlantic University
Person Preferred Name
BEYL, LAWRENCE MICHAEL.
Graduate College
Physical Description
84 p.
application/pdf
Title Plain
MULTIDIMENSIONAL FORMULATION OF THE GENERAL RELATIVISTIC EQUATIONS OF MOTION
Use and Reproduction
Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
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Origin Information
1974
monographic
Boca Raton, Fla.
Florida Atlantic University
Physical Location
Florida Atlantic University Libraries
Place
Boca Raton, Fla.
Sub Location
Digital Library
Title
MULTIDIMENSIONAL FORMULATION OF THE GENERAL RELATIVISTIC EQUATIONS OF MOTION
Other Title Info
MULTIDIMENSIONAL FORMULATION OF THE GENERAL RELATIVISTIC EQUATIONS OF MOTION