GPS-compatible Lorentz transformation that satisfies the Relativity Principle
Buenker
Robert J.
Prof. Dr.
Buenker, Robert J.
aut
2015-07-13
en
<p> In relativity theory there are two versions of time dilation: symmetric and asymmetric.
In the first case, it is assumed that a moving clock always runs slower than the observer's
local clock, so it is just a matter of perspective which of two clocks runs faster. By contrast,
asymmetric time dilation assumes that if two clocks are running at different rates, one of
them is unambiguously slower. The Lorentz transformation (LT) of Einstein's Special theory
of Relativity (STR) predicts that only symmetric time dilation occurs in nature. However,
experimental studies of the rates of atomic clocks on airplanes, as well as of the second-order
Doppler effect using high-speed rotors, find that time dilation is exclusively asymmetric, in
clear contradiction to the LT. In the present work, it is shown that there is another space-time
transformation that also satisfies Einstein's two postulates of relativity, but one which
assumes that clock rates in different rest frames are <i>strictly proportional</i> to one another. It is
therefore in complete agreement with the results of the above time-dilation experiments and
also with the clock-rate adjustment procedure applied to satellite clocks in the methodology
of the Global Positioning System; hence the designation GPS-LT for this alternative spacetime
transformation. Unlike the original LT, the GPS-LT is consistent with the absolute
remote simultaneity of events, and it eliminates the necessity of assuming that space and time
are inextricably mixed. It also disagrees with the FitzGerald-Lorenz length-contraction
prediction of STR, finding instead that <i>isotropic length expansion always accompanies time
dilation</i> in a given rest frame. The results of the Ives-Stilwell study of the transverse Doppler
effect and also those of experiments with accelerated muons are shown to be in complete
agreenment with the latter conclusion.
2015-07-13T10:38:40.148Z
2016-02-01T15:12:03.437Z
submitted
Pub