Journal of Nonlinear Mathematical Physics

Volume 4, Issue 1-2, May 1997, Pages 12 - 27

Proper-Time Relativistic Dynamics and the Fushchych-Shtelen Transformation

Authors
Tepper L. Gill, James Lindesay, M.F. Mahmood, W.W. Zachary
Corresponding Author
Tepper L. Gill
Available Online 1 May 1997.
DOI
https://doi.org/10.2991/jnmp.1997.4.1-2.2How to use a DOI?
Abstract
We report on a new formulation of classical relativistic Hamiltonian mechanics which is based on a proper-time implementation of special relativity using a transformation from observer proper-time, which is not invariant, to system proper-time which is a canonical contact transformation on extended phase-space. This approach does not require the use of time as a fourth coordinate and so we prove that it satisfies the two postulates of special relativity. In the free particle case, our transformation theory generates a Poincaré group which fixes time (system proper-time). We prove that the Fushchych-Shtelen transformation is an element of our group, which fixes time for Maxwell's equations. In the interaction case, our transformation theory allows us to avoid the no-interaction theorem. We show that the Santilli Isotopes appear naturally when interaction is turned on.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
4 - 1-2
Pages
12 - 27
Publication Date
1997/05
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.1997.4.1-2.2How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Tepper L. Gill
AU  - James Lindesay
AU  - M.F. Mahmood
AU  - W.W. Zachary
PY  - 1997
DA  - 1997/05
TI  - Proper-Time Relativistic Dynamics and the Fushchych-Shtelen Transformation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 12
EP  - 27
VL  - 4
IS  - 1-2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.1-2.2
DO  - https://doi.org/10.2991/jnmp.1997.4.1-2.2
ID  - Gill1997
ER  -