The
Giant Twin’s Travels
2018-01-22
Relativity and Gravity Publication - No. 46
Buenker
Robert J.
Prof. Dr.
Buenker, Robert J.
aut
en
<p>There are two versions of time dilation in Einstein’s original paper on special relativity theory
(SRT). It is pointed out that they differ in a crucial respect, namely whether the phenomenon
is symmetric or asymmetric. The Clock Paradox arises from belief in the latter version,
which asserts that a clock runs slower when it is accelerated than an identical clock that
remains at rest in its initial rest frame. The symmetric theory of time dilation is based on the
Lorentz invariance condition of the Lorentz transformation (LT). Experiments have
invariably shown that it is always possible to know which of two clocks is running slower,
and therefore have confirmed Einstein’s asymmetric version of time dilation. The question is
therefore considered whether the lengths of accelerated objects are properly described by the
LT, despite the fact that it fails to predict the observed asymmetry in clock rates. The present
work calls attention to the fact that Einstein’s derivation of the LT is based on an undeclared
assumption in addition to his two postulates of relativity. It is shown that assuming instead
that clock rates are strictly proportional to one another leads to a different version of the
Lorentz transformation that still satisfies the two postulates of relativity and the velocity
transformation of SRT while successfully describing the asymmetric character of time
dilation.
time dilation
twin paradox
postulates of special relativity
Lorentz transformation (LT)
velocity transformation (VT)
alternative Lorentz transformation (ALT)
2018-01-22T10:47:22.435Z
2018-01-22T11:58:22.635Z
published
Pub