Changes in the Relativistic Theory of Electromagnetism Prescribed by Experience with the Global Positioning System
2016-02-11
Relativity and Gravity Publication - No. 34
Buenker
Robert J.
Prof. Dr.
Buenker, Robert J.
aut
en
<p> One of the main principles on which the Global Positioning System (GPS) technology
is based is the strict proportionality between the rates of clocks in relative motion. In recent
work it has been demonstrated that relativity theory can be modified to incorporate this
principle without violating Einstein’s postulate of the constancy of light in free space, also
assumed in GPS. In the present work attention is centered on Einstein’s relativistic treatment
of electromagnetic interactions. For example, it is pointed out that forces are assumed to be
invariant in the revised theory, whereas Einstein concluded that transverse components of the
Lorentz electromagnetic force have different values in the rest frame of accelerated electrons
than in that of the stationary frame from which they are observed. It is shown that the necessary modifications of relativity theory can be achieved by eliminating an undeclared
assumption in Einstein’s original derivation of the Lorentz transformation (LT) and replacing
it with the GPS axiom of the strict proportionality of clock rates in different rest frames. An
assumption about the form of the inverse transformation of the electromagnetic field
components also has to be changed. The example of two electrons being repelled as they
move alongside each other in the laboratory is used as an application of the revised theory.
Lorentz force
uniform scaling
Global Positioning System (GPS)
Lorentz transformation
Maxwell equations
2014-08-12T08:33:05.919Z
2016-02-11T15:21:51.968Z
published
Pub