Re: Proper quantities in SR
- From: Shubee <e.shubee@xxxxxxxxx>
- Date: Fri, 29 Jun 2007 16:53:41 -0700
On Jun 29, 2:43 pm, Stephen Riley <s...@xxxxxxxxxxxxxxxxxxx> wrote:
Hi,
It's been a while since I studied relativity and I wonder whether
someone clued-up could provide feedback on the (seemingly unorthodox)
use of proper quantities in special relativity.
References:
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Mountain motionhttp://www.motionmountain.net/C-2-CLSC.pdf
Footnote page 305 :
"One can in fact express all of special relativity in terms of
'proper' quantities".
Where the following journal article is cited:
On the 'proper' formulation of relativity, D. Hestenes, Proper particle
mechanics, Journal of Mathematical Physics 15, pp. 1768-1777, 1974
http://newton.umsl.edu/run//traveler.htmlcite the following with regard
to a 'subtle trend in the pedagogical literature toward the definition
of a quantity called proper velocity' (though one them dates from 1968).
Sears and Brehme, Introduction to the Theory of Relativity (Addison
Wesley, 1968) and
W. A. Shurcliff, Special Relativity: The Central Ideas (19 Appleton St.,
Cambridge MA 02138, 1996)
And finally a Wiki on proper time, where examples are provided for both
special and general relativity:http://en.wikipedia.org/wiki/Proper_time
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How was the Hestenes journal paper received? Or alternatively is it true
that 'all of special relativity be expressed in terms of proper
quantities'?
Other thoughts with regard to the use of proper time, proper velocity,
etc. at relativistic speeds would be appreciated to.
--
Stephen Riley
http://scienceworld.wolfram.com/physics/ProperVelocity.html
http://newton.umsl.edu/run//traveler.html
Stephen,
It is true that one can express all of special relativity in terms of
'proper' quantities. And the trend to use 'proper' quantities in
special relativity is essential for a clear understanding of the
subject. There is nothing wrong with correcting the imperfections of
ancient thoughts. It's well known that ordinary velocity provides a
weak and confused foundation for understanding SR because ordinary
velocity changes with a mere change in the arbitrary choice of clock
synchronization. See
http://www.everythingimportant.org/relativity/synchronization.htm for
example.
For a modern derivation of the Lorentz transformation in terms of
'proper' velocity, see
http://www.everythingimportant.org/relativity/special.pdf
Shubee
.
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