The
Universal Time-Dilation Law
Objective Variant of the Lorentz Transformation
2016-02-11
Relativity and Gravity Publication - No. 31
Buenker
Robert J.
Prof. Dr.
Buenker, Robert J.
aut
en
<p> One of the most characteristic aspects of Einstein’s special theory of
relativity (SR) is its conclusion that two clocks in motion can both be running
slower than the other from the vantage point of their respective observers. It is
pointed out that this symmetric view of the measurement process has never been
confirmed experimentally. Indeed, when investigations involving the necessary
two-way communication between observers/detectors have been carried out, it has
invariably been found that the rates of clocks can be unambiguously ordered on
the basis of the following empirical formula: τ<sub>1</sub> γ(v<sub>10</sub>) = τ<sub>2</sub> γ(v<sub>20</sub>), where v<sub>10</sub> and
v<sub>20</sub> are the speeds of the clocks with respect to a specific rest frame such as that of
the earth’s midpoint [γ (v) = (1-v<sup>2</sup>/c<sup>2</sup>)<sup>-0.5</sup>]. The general attitude toward the failure of
SR to anticipate the objective character of the latter timing results has been to
consider them as falling outside the stated range of applicability of the theory
(only uniformly translating systems). It is shown, however, that experiments such
as the Ives-Stilwell study of the transverse Doppler effect and the determination of
the lifetimes of rapidly moving metastable particles can also be explained
quantitatively in terms of the above empirical formula. A different approach is
therefore suggested in the present work, namely to eliminate an undeclared
assumption in Einstein’s derivation of the Lorentz transformation (LT) and
replace it with the condition that the above timing law be adhered to on a
completely general basis. The resulting theory is shown to satisfy Einstein’s two
postulates while at the same time being consistent with the principle of complete
objectivity in the measurement process for all physical quantities.
Time dilation
Lorentz transformation
objectivity of measurement
standard units
velocity transformation
2014-08-12T08:33:05.343Z
2016-02-11T15:18:30.913Z
published
Pub