Fresnel Light-drag Formula, Einstein’s Dual Theories of Time Dilation and the Amended Lorentz Transformation
Relativity and Gravity Publication - No. 47
Buenker
Robert J.
Prof. Dr.
Buenker, Robert J.
aut
2014-08-12
en
<p>The history of Fresnel’s light-drag formula is reviewed and its impact on relativity
theory is assessed. Fizeau’s experimental results reported in 1851 not only
demonstrated that light drag is a real effect, they also provided the first concrete
indication that the speed of light in free space is independent of the state of
motion of the source. This ultimately became one of the main justifications for
Einstein’s second postulate of relativity and his aether-free description of light
propagation. However, it is a little known fact that Einstein’s original work on
relativity presented two distinct theories of time dilation. One is based on the
Lorentz transformation (LT) and claims that a moving clock always runs slower
than the observer’s stationary clock (symmetric theory). The other version
assumes instead that accelerated clocks always run slower than their identical
counterparts which remain at rest in the original position (asymmetric theory). It
is pointed out that there have been numerous confirmations of the asymmetric
theory, such as by using the transverse Doppler effect or comparing elapsed times
on atomic clocks in various states of motion. Since the LT, which is only valid
for uniformly translating systems, is contradicted by these results because of its
prediction of exclusively symmetric outcomes, it is concluded that a different
Lorentz-type transformation exists which can be used exclusively for cases in
which one of the clocks is subject to acceleration. A degree of freedom in the
definition of the general Lorentz transformation allows this goal to be readily
achieved, while still satisfying Einstein’s light-speed postulate.
Fresnel light-drag formula
postulates of special relativity
degree of freedom in the Lorentz transformation
velocity transformation (VT)
alternative Lorentz transformation (ALT)
amended relativity principle (ARP)
2014-08-12T08:34:27.285Z
2016-02-01T15:10:35.546Z
submitted
Pub