Equal Relative Velocity Between Two Objects for Observers in Different Rest Frames
2018-01-22
Buenker
Robert J.
Prof. Dr.
Buenker, Robert J.
aut
en
<p>This paper discusses applications of Special Relativity Theory (SRT) in which the relative velocity
of two objects needs to be determined from the vantage point of two different rest frames. It
has generally been assumed without proof that such relative velocities are the same for all observers.
In the present work, a general proof based on Einstein’s light-speed postulate is given. It
is shown to be consistent with applications of the relativistic velocity transformation (RVT) introduced
by Einstein in his 1905 paper. One consequence is that the average range of decay of metastable
particles is directly proportional to the measured lifetime in each rest frame. The fact that an
observer traveling with the particles will measure a shorter range of decay than his counterpart on
Earth’s surface is traced to the increase in length of measuring devices in the former rest frame
that results from the acceleration. It is pointed out that this conclusion runs counter to the SRT prediction
of Fitzgerald-Lorentz length contraction accompanying time dilation.
light-speed postulate
relativistic velocity transformation
meta-stable particle lifetimes
average range before decay
Fitzgerald-Lorentz length contraction
2018-01-22T10:48:58.357Z
2018-01-22T12:12:08.319Z
published
Pub