Re: Clock synch
- From: "Nicolaas Vroom" <nicolaas.vroom@xxxxxxxxxx>
- Date: Sat, 12 Aug 2006 10:05:10 GMT
"Tom Roberts" <tjroberts137@xxxxxxxxxxxxx> schreef in bericht
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Nicolaas Vroom wrote:
"Nicolaas Vroom" <nicolaas.vroom@xxxxxxxxxx> schreef in bericht
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"Tom Roberts" <tjroberts137@xxxxxxxxxxxxx> schreef in bericht
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There is no "time dilation", in the sense of a clock physically
ticking slower, or in the sense of "time moving slower". There is no
"shortening/elongating", in the sense of a given object physically
getting shorter or longer.
The effects called "time dilation" and "length contraction" in SR are
not physical effects, and are due to different measurement procedures
used by differently moving observers.
Suppose there are two Observers A and B at the same position P1
which both have identical clocks and which initially show the same value.
How would you call the effect, that, if those two Observers move
from P1 to P2 along a different path, that when they meet,
they realize that the two clocks show a different value ?
What is wrong by calling that a physical effect ?
There is nothing wrong with that, indeed that is what we mean by "physical
effect". But that is NOT "time dilation".
Accordingly to the book "Introducing Einstein's relativity" by
Ray d'Inverno at page 33 "Thus moving clocks go slow by a factor
SQR(1- v*v/c*c). This phenomenon is called time dilation."
IMO this is the situation I have described above.
(Implying that time dilation is a physical effect)
If Observer A stayed at home and Observer B did not than still
both moved from P1 to P2 along a different path.
As I have said so often, time dilation is the difference in projections
onto different coordinates.
How would you describe an experiment that demonstrates above
Your example involves the difference in elapsed proper time for different
paths between the same two points.
versus an experiment that demonstrates above.
What is the most important difference between the two ?
I expect that in both the Lorentz factor is involved.
In Euclidean geometry, the analogy to time dilation is the fact that a
meterstick held at 45 degrees relative to the X axis subtends only .707
meters along the X axis. The analogy to your example is a triangle ABC:
the path AB has a different path length than the path ACB.
Tom Roberts
Nicolaas Vroom
http://users.pandora.be/nicvroom/
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