27 / 53
Laser Optics & Photonics and Atomic & Plasma Science 2018
J u l y 1 6 - 1 7 , 2 0 1 8
P r a g u e , C z e c h R e p u b l i c
Page 89
American Journal of Computer Science and Information Technology
ISSN: 2349-3917
E u r o S c i C o n J o i n t E v e n t o n
Laser Optics & Photonics and
Atomic & Plasma Science
T
ime dilation and remote non-simultaneity are two of the most famous predictions derived from the Lorentz transformation. As
a simple example, consider two lightning strikes which occur at different positions in space. According to Einstein's special
theory, the time differences Δt and Δt' measured by two observers between the two strikes must satisfy a strict proportionality
relation (time dilation): Δt'=XΔt. In addition, it is claimed by virtue of the corresponding prediction of remote non-simultaneity
that the two events can occur simultaneously for one of them (Δt=0) without doing so for the other (Δt'≠0). It is pointed out that
it is impossible to satisfy both of the above conditions because that would mean having to violate the algebraic axiom which
states that multiplication of any finite number, in this case X, by zero, i.e. Δt in the above equation, must have a product of zero
as well, i.e. Δt'=0, in direct contradiction to the prediction of remote non-simultaneity. As a result, the Lorentz transformation
itself is shown to be invalid since it is responsible for both predictions. A different space-time transformation is presented which
also satisfies both of Einstein's postulates of relativity but without requiring that space and time be mixed. The Hafele-Keating
experiments with atomic clocks carried onboard circumnavigating airplanes confirm that time dilation is a real effect, but they
also show that the prediction of Einstein's theory that observer can disagree in principle which of two clocks runs slower is not
correct. The Global Positioning System makes use of the observed proportionality relationship between elapsed times in the
Hafele-Keating experiment to adjust the rates of atomic clocks carried onboard its satellites so that they run at the same rate as
identical clocks located on the earth's surface. This practice also serves as verification that remote non-simultaneity has no basis
in fact. Otherwise it would make no sense to have the two clocks running at the same rate in order to measure elapsed times for
laser beams to travel between the satellite and the ground position.
bobwtal@yahoo.deGlobal positioning system confirmation of a
contradiction between Einstein's predictions of
time dilation and remote non-simultaneity
Robert J Buenker
University of Wuppertal, Germany
Am J Compt Sci Inform Technol 2018, Volume 6
DOI: 10.21767/2349-3917-C1-003