Though one observer might calculate that
two events separated in space are simultaneous,
there exist some positions and velocities that
another observer could have, to calculate correctly
that one of the events happened first; and there
exist other positions and velocities than an obverver
could have, to correctly calculate that the other of
the two events happened first.
The maximum that this disparity between correct
calculations of the time of two events is the time
it takes light to travel between the two positions in
space.
Thus, since it takes light about a second and a half
to travel between the earth and the moon, the
minimum uncertainty between the time of two events,
on the earth and the moon, is a second and a half.
This uncertainty is not because an observer on one
of the bodies can't see an event on the other body
when it happens. The observer can correct for the
time it takes, say, a light flash to get to him. And
the observer with one of those different positions and
velocities also can make similar corrections. But
after the corrections, the two observers each have
correctly calculated different times for the same
two events.
This is the 'simultaneity' issue.
Now, does the action at a distance that we hear
about, associated with quantum theory, take into
account the 'simultaneity' issue? There is no
'now' for two positions at a distance from each
other in space. What does quantum theory say
about that when making its statements concerning
'action at a distance'.
Sue... - 25 Jul 2008 04:54 GMT
> Though one observer might calculate that
> two events separated in space are simultaneous,
[quoted text clipped - 34 lines]
> about that when making its statements concerning
> 'action at a distance'.
QED straps a wristwatch on a fariy called a photon
and has it explore all classical paths, then computes
a probability_amplitude.
Classical electromagnetism need no excuse
to employ imaginary numbers on the temporal axis.
<<The key to understanding special relativity is
Einstein's relativity principle, which states that:
All inertial frames are totally equivalent for
the performance of all physical experiments.
In other words, it is impossible to perform a physical
experiment which differentiates in any fundamental
sense between different inertial frames. By definition,
Newton's laws of motion take the same form in all
inertial frames. Einstein generalized this result in
his special theory of relativity by asserting that all
laws of physics take the same form in all inertial
frames. >>
http://farside.ph.utexas.edu/teaching/em/lectures/node108.html
Sue...
Spaceman - 25 Jul 2008 05:32 GMT
> Though one observer might calculate that
> two events separated in space are simultaneous,
[quoted text clipped - 34 lines]
> about that when making its statements concerning
> 'action at a distance'.
The only randomness (uncertainty) in the universe comes from
"thinking entities", all the rest of the universes objects are perfectally
"non uncertain".
:)

Signature
James M Driscoll Jr
Spaceman
Sam Wormley - 25 Jul 2008 05:35 GMT
> Though one observer might calculate that
> two events separated in space are simultaneous,
[quoted text clipped - 4 lines]
> could have, to correctly calculate that the other of
> the two events happened first.
Yup -- Relativity of simultaneity
http://en.wikipedia.org/wiki/Relativity_of_simultaneity
Calvin--These two episodes of The Mechanical Universe episodes show
quite nicely the relativity of simultaneity.
http://www.learner.org/resources/series42.html
42. The Lorentz Transformation
If the speed of light is to be the same for all observers, then
the length of a meter stick, or the rate of a ticking clock,
depends on who measures it.
43. Velocity and Time
Einstein is motivated to perfect the central ideas of physics,
resulting in a new understanding of the meaning of space and time.
Jim Black - 25 Jul 2008 11:00 GMT
> Though one observer might calculate that
> two events separated in space are simultaneous,
[quoted text clipped - 34 lines]
> about that when making its statements concerning
> 'action at a distance'.
The brief answer is yes, at least for the experimental predictions of
quantum mechanics, which everyone agrees on. In, for example, the EPR
paradox, it doesn't matter which observer does his measurement first; in
either case, quantum mechanics predicts the same probabilities for the
outcomes. It's only when you start asking for a description of the events
between the experimental setup and the measurements that things get tricky.
Those who care to speculate at all have different ideas about what's really
going on, and not all of these ideas are consistent with the idea of
relative simultaneity.

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Jim E. Black (domain in headers)
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