Volume 4, Issue 1-2, May 1997, Pages 12 - 27
Proper-Time Relativistic Dynamics and the Fushchych-Shtelen Transformation
Tepper L. Gill, James Lindesay, M.F. Mahmood, W.W. Zachary
Tepper L. Gill
Available Online 1 May 1997.
- https://doi.org/10.2991/jnmp.1997.4.1-2.2How to use a DOI?
- 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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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 -