Mass Dilation and the Lewis-Tolman Conjecture
2016-02-11
Relativity and Gravity Publication - No. 19
Buenker
Robert J.
Prof. Dr.
Buenker, Robert J.
aut
en
<p> The arguments of Lewis and Tolman that predict mass dilation are critically reviewed.
It is pointed out that their conclusion that two observers in relative motion would measure
different <i>relative</i> velocities of a given object in their model collision system is incompatible
with Einstein's second postulate of the special theory of relativity, that is, for the case when
the object is a light pulse. It is also inconsistent with assumptions that have been made in
succeeding years about the respective measurements of the relative velocities of metastable
particles of different observers. Correcting this error leads to a conclusion of broader
significance, namely that the only way to have momentum conserved in the Lewis-Tolman
collision is to assume that measurement is <i>objective</i> rather than "symmetric" for the two
observers. Attention is called to Einstein's original argument about time dilation in which he
emphasized that it is possible to distinguish two inertial systems on the basis of their previous
history of acceleration. A uniform scaling procedure for converting the measured values of
two observers in relative motion is introduced which allows one to reconcile both time and mass dilation in accelerated systems with conservation of momentum in the Gedanken
experiment introduced by Lewis and Tolman.
2014-08-12T08:33:04.040Z
2016-02-11T15:01:22.477Z
published
Pub