Five Proofs of Isotropic Length Expansion Accompanying Relativistic Time Dilation
Relativity and Gravity Publication - No. 35
Buenker
Robert J.
Prof. Dr.
Buenker, Robert J.
aut
2014-08-12
en
<p> The manner in which the lengths of objects vary when they undergo
acceleration is investigated based on a variety of considerations, both
experimental and theoretical. The relativistic velocity transformation (VT) is
especially helpful in this regard because it ensures that the relative speed of an
object as it travels between two fixed points must have the same value for all
observers. Consequently, an observer with a slower proper clock must measure a
shorter distance between these points than his counterpart who has not
experienced time dilation. This result is opposite to what one expects from
Fitzgerald-Lorentz length contraction (FLC) which is an unavoidable consequence
of the Lorentz transformation (LT). Examination of Einstein’s derivation of the
LT shows that it relies on an undeclared assumption regarding the nature of a
normalization function that appears in a more general form of these equations.
This fact puts the VT on a firmer theoretical basis than the LT and opens the way
to remove the above contradiction in a straightforward manner. An alternative LT
is defined which is not only consistent with Einstein’s two fundamental postulates
of relativity but which also agrees with experimental findings that indicate that
clock rates are always related by a strict proportionality: t=Qt’. Four other
examples are presented which confirm the above conclusion that lengths expand
isotropically when time dilation occurs.
Relativistic velocity transformation
time dilation
transverse Doppler effect
alternative Lorentz transformation
isotropic length expansion
2014-08-12T08:33:06.147Z
2016-02-01T15:09:08.247Z
submitted
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