The
lack of internal consistency of the Lorentz transformation and its consequences for the concept of space-time mixing
2018-01-22
Buenker
Robert J.
Prof. Dr.
Buenker, Robert J.
aut
en
<p>The Lorentz transformation (LT) of Einstein's Special Theory of Relativity (STR) is analyzed
with respect to its internal consistency. The LT leads to the prediction of time dilation and length
contraction in moving rest frames. In addition, the relativistic velocity transformation (RVT) is
derived from the LT by simply taking the ratios of its space and time coordinates, and this in turn
guarantees satisfaction of Einstein's light-speed constancy postulate. On this basis, it is shown
that the LT is not internally consistent since it can be used in different ways to obtain opposite
answers for the same question, such as whether remote events occur simultaneously for two
observers in relative motion. This characteristic eliminates the LT as a viable space-time
transformation. Experimental results obtained with atomic clocks and other timing devices are
shown to be in complete agreement with this conclusion. They invariably find that the rates of
moving clocks are strictly proportional to one another (Universal Time-Dilation Law, UTDL), in
disagreement with the space-time mixing expected on the basis of the LT. Finally, it is shown
that a different transformation, referred to as the GPS-LT by virtue of its consistency with the clock-rate adjustment procedure used on Global Positioning System satellites, also satisfies both
of Einstein's postulates of relativity while nonetheless remaining consistent with the UTDL.
Lorentz transformation (LT)
relativistic velocity transformation (RVT)
alternative Global Positioning System-Lorentz transformation (GPS-LT)
absolute remote simultaneity
clock-rate proportionality
Universal Time-Dilation Law (UTDL)
FitzGerald-Lorentz length contraction (FLC)
isotropic length expansion
2018-01-22T10:48:58.795Z
2018-01-22T12:12:13.522Z
published
Pub