International Journal of Physics
ISSN (Print): 2333-4568 ISSN (Online): 2333-4576 Website: http://www.sciepub.com/journal/ijp Editor-in-chief: B.D. Indu
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International Journal of Physics. 2018, 6(6), 181-188
DOI: 10.12691/ijp-6-6-2
Open AccessArticle

The Relativity Equations of Uniformly Accelerating Frames of Reference

Gary A. Feldman1,

1Retired, Corpus Christi, Texas, U.S.A.

Pub. Date: December 10, 2018

Cite this paper:
Gary A. Feldman. The Relativity Equations of Uniformly Accelerating Frames of Reference. International Journal of Physics. 2018; 6(6):181-188. doi: 10.12691/ijp-6-6-2

Abstract

The work presented here is an extension of the work done in the article titled “The Conjugate Frame Method Relativity” [1]. In that work, we considered a moving reference frame that traveled at a constant speed v in a flat or curved space-time manifold. The moving reference frame traveled along a geodesic trajectory in a direction that was either directly towards or directly away from the stationary reference frame. The scalar acceleration a of the moving reference frame was equal to zero. In this work, we consider a moving reference frame that travels with a uniformly changing speed v in a flat or curved space-time manifold. The moving reference frame travels along a geodesic trajectory in a direction that is either directly towards or directly away from the stationary reference frame. The scalar acceleration a of the moving reference frame is a constant that is greater than or equal to zero. The Augmented Conjugate Frame Method is utilized in this work to derive the relativity equations of uniformly accelerating reference frames. These equations can apply to objects that are uniformly accelerated by gravitational, electric, or magnetic fields; as well as by other means, such as rocket propulsion. The relativity equations derived in this work reduce to the equations of Special Relativity when the moving reference frame has a zero scalar acceleration. The Augmented Conjugate Frame Method uses only scalar quantities in the derivation of the relativity equations of uniformly accelerating frames of reference.

Keywords:
the Augmented Conjugate Frame Method uniform acceleration geodesic Planck acceleration Planck time Planck length acceleration ratio speed ratio Planck epoch black hole

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  G. Feldman, “The Conjugate Frame Method Relativity”, International Journal of Physics, vol. 6, no. 4, (2018).
 
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[3]  W. Rindler, Introduction to Special Relativity, Oxford Science Publications, (1991).
 
[4]  N. Zakamska, arXiv: 1511.02121 [physics.ed-ph], (2015).
 
[5]  E. F. Taylor; A. P. French, “Limitation on Proper Length in Special Relativity”, American Journal of Physics, 51(10): 889, (1983).
 
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