Re: The Reason for Time Dilation

PS:

http://galileoandeinstein.physics.virginia.edu/more_stuff/flashlets/mmexpt6.htm
Could be helpful for you to get an idea of the motion effect that you
overlooked:
best to set light speed to 3 and ether speed to 1.

and

http://hyperphysics.phy-astr.gsu.edu/Hbase/relativ/morley.html
Gives you the calculation without taking into account length contraction and
time dilation:
t'' is for the lateral leg, and t' is for the parallel leg.

Cheers,
Harald

"harry" <harald.vanlintelButNotThis@xxxxxxx> wrote in message
news:1201596898_1276@xxxxxxxxxxxxxxxxxxx

"Peri of Pera" <riedt1@xxxxxxxxxxx> wrote in message
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The Reason for Time Dilation

When Lorentz invented time dilation as part of his contraction
hypothesis he did so to allow the speed of light to remain constant.

More precisely: he did so in order to be consistent with the PoR as well
as the laws of Maxwell.

He realized that if the length of a moving object contracted, time
had to slow down or the speed of light would not be constant. If the
parallel dimension of a moving object has been contracted as per the
Lorentz contraction hypothesis, time dilation restores the speed of
light to 300000000m/sec by the reciprocal factor of the length
contraction.

So far OK.

Example:
An object of 100m length traveling with a speed of 200000km/sec would
according to the Lorentz transformation (gamma = sqrt(1-200000km/
sec^2/300000km/sec^2) = 0.74535599)

Watch out: your gamma is the reciprocal of the usual one.

shrink to 74.535599m (100*gamma).
At rest, light will cover 100m in 100m/300000000m/sec =
0.000000333333sec. To cover 74.535599m in 0.000000333333 seconds,
the speed of light would only be 223607021km/sec (74.535599m/
0.000000333333sec). However, the time dilation factor of 1.3416408 (1/
gamma) restores the speed of light to 300000000km/sec (223607021km/
sec x 1.3416408).

Why would light cover 74.535599m in 0.000000333333 seconds ??
As measured in the coordinate system in which the object is moving, the
object is contracted but the light has to cover a much greater distance.
In other words, your calculation is wrong eventhough you managed to get at
the right answer (thanks for your clear example of how easy it is to kook
up an erroneous calculation that yields the correct answer: some people
here think that that's nearly impossible!).

I now see that others have already given you the details.

With the artifice of time dilation the speed of
light remains constant.

Yes, but you still haven't got it right. Try again (for example with the
help of a good textbook!)

Harald



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