Applied Mathematics & Information Sciences
This article proves that speed of light in all uniformly moving inertial reference frames is absolute as postulated by Einstein. This is first done by considering light propagating with a speed c in all directions in an inertial frame of reference. If that frame is moving uniformly with a speed v relative to a second stationary inertial frame, we assume that light in the second frame is propagating in all directions with a different speed cp=pc. Consequently, modified transformation Equations are formed. The established Poincaré ellipsoidal light waves are then used to find the Equation that governs the relation of p at any speed v. The analytical solution and numerical calculations to this equation yield a value p =1. This proves that speed of light propagates through empty space with speed c independent of the speed of the light source or the observer.
Digital Object Identifier (DOI)
A. Radi, Hafez and E. Ward, Thomas
"Constancy of Speed of Light in Inertial Frames,"
Applied Mathematics & Information Sciences: Vol. 14:
3, Article 3.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss3/3