This is a straightforward question on relativity rudiments.
I profess my ignorance of the exact answer.
BACKGROUND:
If my space ship is sitting still in space and another craft/frame is in
inertial motion, then I must ascribe/attribute three distinct distortions to
his frame: length contraction, time dilation and clock dissynchronicity.
That last distortion is of course only pertinent to clocks separated along
an elongated moving frame... and most universities would term it "The
Relativity of Simultaneity" instead of what I just termed it.
QUESTION:
I am sitting on a large gravitational body and another craft or frame is out
there in space, motionless WRT me, many millions of miles away from mine (or
any) gravitational source. So his clock indisputably runs fast, as compared
to my own. What about other distortions that must be attributed to that
remote spacebound frame: a length distortion?? a clock dissycnhronicity??
(assuming his is an elongated frame with clocks separated along that radial
line from the CtrOfGrav, through me, to them)
I have tried to here outline the very most simplest case.
Bill Hobba - 29 Mar 2005 04:27 GMT
> This is a straightforward question on relativity rudiments.
> I profess my ignorance of the exact answer.
>
> BACKGROUND:
> If my space ship is sitting still in space
What do you mean by sitting still in space? Motion is with respect to a
coordinate system.
> and another craft/frame is in inertial motion, then I must
ascribe/attribute three distinct distortions to
> his frame: length contraction, time dilation and clock dissynchronicity.
> That last distortion is of course only pertinent to clocks separated along
[quoted text clipped - 11 lines]
>
> I have tried to here outline the very most simplest case.
Sure space is curved by gravity as well as time (you will find lengths a bit
longer) - that is why it is space-time that is curved - but for
gravitational fields we are usually have experience with the effect on time
is much more pronounced.
Bill
Ben Rudiak-Gould - 30 Mar 2005 03:43 GMT
> I am sitting on a large gravitational body and another craft or frame is out
> there in space, motionless WRT me, many millions of miles away from mine (or
> any) gravitational source. So his clock indisputably runs fast, as compared
> to my own. What about other distortions that must be attributed to that
> remote spacebound frame: a length distortion?? a clock dissycnhronicity??
I think you will be much less confused if you think in terms of experiments
and their outcomes, rather than in terms of intrinsic properties whose
physical meaning is unclear.
You say that his clock runs faster than yours; what experiment does that
correspond to? Probably one like this: he fires a laser pulse at you once
per second, and you fire a pulse at him once per second. You receive more
than one of his pulses per second, and he receives less than one of yours
per second. This is indeed what happens; you can work through the equations
and show that it's true, and there are various ways of visualizing why it's
true, and similar experiments in real life appear to confirm the prediction.
Then you ask about length contraction and desynchronization. What
experiments would those correspond to?
-- Ben
Ben Bean - 30 Mar 2005 09:59 GMT
> > I am sitting on a large gravitational body and another craft or frame is out
> > there in space, motionless WRT me, many millions of miles away from mine (or
[quoted text clipped - 18 lines]
>
> -- Ben
Thanks for the reply, Ben, but I am not satisfied. There IS a vital reason
why I ask this question in this particular way, and it is this. Because of
the THREE distinct (SR) distortions ascribed to a relatively moving inertial
frame, the speed of a light pulse will wind up being *assessed* as c by all
(inertial) observers. This would not work out mathematically if only one or
two of those distortions were ascribed, but only when all three are ciphered
together does the unifrmity of lightspeed result, from all inertial
vantages. So, my question about gravitation, in a case where there is no
relative motion between observer and observed, is intended to glean how it
becomes mathematically possible for me, sitting on the large gravitational
body, and another spatially far-removed observer -- for us to BOTH assess a
random light pulse to be travelling at the uniform speed, c, unless there
are *additional* distortions besides the simple well-known clockRATE
distortion of a gravitational potential difference.
-- BB
Ben Bean - 31 Mar 2005 14:21 GMT
> > > I am sitting on a large gravitational body and another craft or frame is
> out
[quoted text clipped - 43 lines]
>
> -- BB
I'm still hoping someone will come forward with a substantive, the correct
answer.
jahn - 31 Mar 2005 15:42 GMT
> > > > I am sitting on a large gravitational body and another craft or frame
> is
[quoted text clipped - 57 lines]
> I'm still hoping someone will come forward with a substantive, the correct
> answer.
I assume your clocks are based on an oscillating mass because you
say the one near a large mass runs slower.
The correct answer is:
Clocks don't measure or establish time, they simulate it's passage.
Hope that helps. ;-)
Sue...
Ben Bean - 31 Mar 2005 20:25 GMT
> > > > > I am sitting on a large gravitational body and another craft or frame
> > is
[quoted text clipped - 67 lines]
>
> Sue...
No Sue, it doesn't help. I'm looking for the correct answer based on
*relativity*, as opposed to anti-relativism. The clock near the large mass
runs *relatively* slower, as compared to the one far afield. So what other
distortions would need be ascribed in order to make the assessment of the
speed of a random light pulse work out arithmetically to equal c, per either
observer? (likened to SR distortions which act in unison to make lightspeed
uniform).
Sue... - 31 Mar 2005 20:57 GMT
Study near fields for Maxwell's equations and learn how it actually
works
instead of fooling with goofy clocks. Then you can resolve both
postulats
of SR and your twins will always age the same.
Sue...