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MEASURING THE LENGTH OF A MOVING OBJECT (was: The Nanometre Twin)



 
 
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Old November 5th 07, 08:18 AM posted to sci.physics.relativity,sci.physics,sci.astro,fr.sci.physique,fr.sci.maths
Pentcho Valev
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Default MEASURING THE LENGTH OF A MOVING OBJECT (was: The Nanometre Twin)

On Nov 5, 7:13 am, Tom Roberts wrote in
sci.physics.relativity:
Peri of Pera wrote:
1. What is his real size and weight?


["weight" = "mass", for the usual elementary reasons.]

This depends on what you mean by "real". To me, my "real" mass is what I
personally measure. That is, a measurement of my INTRINSIC mass. With
that same meaning his mass is 60kg. Ditto for height, which is 180 cm.
This is valid everywhere along his path.

Note, however, that in relativity mass is an invariant,
and an observer can measure the mass of a moving object
and obtain the same value. It is non-trivial to make such
a measurement, except in certain circumstances (e.g. in
elementary particle experiments specifically designed to
measure the mass of particles).

2. What is his size and weight when v = 0? (The v of earth is not 0).


This is relativity, and whenever you specify a velocity, you must also
specify the frame relative to which it is measured. The v in the
formulas is the relative speed between the object and the measuring
apparatus; v=0 applies whenever the object is at rest in the same
inertial frame as the measurement apparatus. For v=0 the answer is the
same as above (i.e. my speed relative to myself is always 0).

3. Who can measure Bertie during the trip as 18cm tall and weighing
600kg and can do so by which method other than a calculation by the
Lorentz transforms?


This would require assistants to the earth observer who are at rest in
the observer's inertial frame, and are pre-positioned where Bertie will
pass by, one for his head and one for his feet; they each have clocks
synchronized with the earth observer. They both arrange to be
pre-positioned such that they can both mark in their rest frame
precisely where Bertie's head and feet are located at a time
simultaneous in their (the earth observer's) frame. They then measure
the distance between marks using a ruler at rest in their frame.

If you think about it, this is the most sensible way to measure the
length of a moving object.


No Roberts Roberts that is NOT the most sensible way. Your brothers
hypnotists in Einstein criminal cult have discovered a much more
sensible way. First they trap a long train inside a short tunnel:

http://www.youtube.com/watch?v=VSRIy...elated&search=

or a 80m long pole inside a 40m long barn:

http://www.math.ucr.edu/home/baez/ph...barn_pole.html
"These are the props. You own a barn, 40m long, with automatic doors
at either end, that can be opened and closed simultaneously by a
switch. You also have a pole, 80m long, which of course won't fit in
the barn....So, as the pole passes through the barn, there is an
instant when it is completely within the barn. At that instant, you
close both doors simultaneously, with your switch. Of course, you open
them again pretty quickly, but at least momentarily you had the
contracted pole shut up in your barn."

Then your brothers Roberts Roberts measure the length of the trapped
train or pole (in order to be able to make precise measurements, your
brothers do not always reopen the doors of the barn "pretty quickly").
The result of the measurement is: The length of the trapped train or
pole is exactly equal to the lenth of the trapping tunnel or barn. A
series of measurements would prove, eventually, that the length
contraction experienced by the moving object is exactly that predicted
by Divine Albert's Divine Theory. After publishing the result of the
experiment in Nature or Science, your brothers sing "Divine Einstein"
and go into convulsions:

http://www.bnl.gov/community/Tours/E.../Einsteine.jpg
http://www.haverford.edu/physics-astro/songs/divine.htm
http://www.physicstoday.org/vol-58/i...e_einstein.mp3

Pentcho Valev

 




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