Re: Proper quantities in SR
- From: Tom Roberts <tjroberts137@xxxxxxxxxxxxx>
- Date: Thu, 05 Jul 2007 16:08:17 -0500
Pmb wrote:
"Tom Roberts" <tjroberts137@xxxxxxxxxxxxx> wrote in message news:kg9ji.32602$YL5.13626@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxPmb wrote:"Tom Roberts" <tjroberts137@xxxxxxxxxxxxx> wrote in message news:mGPii.20525$RX.8969@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxRight. That integral is the proper time of the object whose worldline is being integrated over, with the integral performed in inertial coordinates. This is the same usage of "proper" that I use.Stephen Riley wrote:In Jackson he uses the term "proper time" to refer to the value of the integral of dt/gamma (Eq.. 11.26).
[about "proper velocity"]
Perhaps it's the word 'proper' that is inappropriate here,Yes, because that word is used with a quite different meaning everywhere else.
There is nothing in there which suggests that the motion is inertial. In fact Rindler is explicit in that he states that it implies to an object/clock undergoing arbitrary motion.
[I don't know whether this is Rindler or Jackson, but you
are definitely confused about that. No matter, I'll refer
to the equation rather than the author.]
Yes, of course -- neither did I imply that the motion is inertial. For that expression to be valid, the COORDINATES must be inertial, but the object need not be moving inertially.
[You seem to think I defined proper time only for an
inertial clock. You are confused -- that was my inference
of the CONTEXT to which I was responding, and my statement
was not a general definition, it was WITHIN THAT CONTEXT.]
Ken S. Tucker wrote:
If that's what Rindler's Eq.(11.26) says then
his gamma is unconventional.
A finite worldline (think GPS) can include effects
of velocity and gravitation to start.
The equation above is for SR, not GR. That is, there _IS_ no gravitation present. That equation uses the conventional gamma.
This is all just basic SR. I don't know why you guys think there is something strange here.
Tom Roberts
.
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