Re: SR cannot determine Contraction
- From: "Sue..." <suzysewnshow@xxxxxxxxxxxx>
- Date: Sat, 16 Feb 2008 23:27:55 -0800 (PST)
On Feb 17, 1:55 am, Peri of Pera <rie...@xxxxxxxxxxx> wrote:
SR cannot determine Contraction
Lorentz proposed contraction of moving objects in a paper 'The
relative motion of the earth and the ether', Versl.Kon.Akad.Wetensch.
1, 74 in 1892 and then published the Lorentz transformation formulas
in 1899 according to which objects moving through space contract
parallel to the direction of motion and in proportion to their speed
[L'=L/sqrt(1-v^2/c^2)]. Einstein accepted the formulas but writes in
1916 (Relativity: The Special and General Theory, Chapter 16): "The
contraction of moving bodies follows from the two fundamental
principles of the theory".
The real value of v in the formula is indeterminate i.e. the real
speed of a body is unknown. However, the speed relative to other
bodies may be known. If body A moves relative to body B with a speed
of 200000km/sec, body A is seen by observers on B to contract by L/
sqrt(1-200000km/sec^2/c^2) and if body A moves at the same time
relative to body C with a speed of 100000km/sec it is seen by
observers on C to contract by L/sqrt(1-100000km/sec^2/c^2).
Conclusion: SR is useless. It does not tell us anything about the
state and condition of A, B or C but gives in every instance an
incorrect amount of the contraction of body A.
If the clocks in Chicago differ from the clocks in New York
by one hour, it can be quite *useful* to contract the
rail lines connecting them, for some particular speed.
<< if we want to work out the potentials at position r
and time t then we have to perform integrals of the
charge density and current density over all space
(just like in the steady-state situation). However,
when we calculate the contribution of charges and
currents at position r' to these integrals we do not
use the values at time t, instead we use the values
at some earlier time... >>
http://farside.ph.utexas.edu/teaching/em/lectures/node50.html
<<...a general Lorentz transformation preserves the
volume of space-time. Since time is dilated by a factor
gamma in a moving frame, the volume of space-time
can only be preserved if the volume of ordinary 3-space
is reduced by the same factor. As is well-known,
this is achieved by length contraction along the
direction of motion by a factor gamma. >>
http://farside.ph.utexas.edu/teaching/em/lectures/node114.html
Sue...
Peter Riedt
.
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