Bulletin of the American Physical Society
APS April Meeting 2019
Volume 64, Number 3
Saturday–Tuesday, April 13–16, 2019; Denver, Colorado
Session D12: Undergraduate Research III
3:30 PM–5:18 PM,
Saturday, April 13, 2019
Sheraton
Room: Plaza Court 1
Chair: Brad Conrad, Society of Physics Students/Sigma Pi Sigma
Abstract: D12.00001 : The Most Fundamental Formulation of the Special Theory of Relativity*
3:30 PM–3:42 PM
View Presentation Abstract
Presenter:
Jamal Khayat
(University of Central Florida)
Author:
Jamal Khayat
(University of Central Florida)
Though valid, the conventional formulation is not the most fundamental. Two superfluous assumptions are made. The first is the invariance of the speed of light postulate, which can be deduced from the remaining four, as proven by Vladimir Ignatowski. The second, which is lesser known, is the conventional definition of simultaneity---a consequence of the assumption that first signals travel with the same speed in their departing and returning directions with respect to an observer, an epistemological indeterminacy addressed by Hans Reichenbach.
In this paper, the special theory of relativity is formulated in the most fundamental manner currently known. The K-Calculus method is used, which permits a complete formulation of the theory without having to define explicit coordinate systems, the invariance of the speed of light is proven rather than assumed, and the definition of simultaneity is generalized.
*Thank you to Nicole of the BRS program as well as Michael and Natalia of RAMP for their invaluable support of my research endeavors.
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