Re: Two photons... relative distance question




"Curious" <anthonyroseuk-curious@xxxxxxxxxxx> wrote in message news:1115460223.017965.207910@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
> Thanks for your reply - very interesting indeed.
> I'm puzzled by this though:
> In any frame, if the time t is a particular value, is the time not that
> same value for any location in that frame?

Be careful with the term "location" in the context of
spacetime.
A location in a frame is normally considered to be a *set*
of events which all have the same fixed spatial coordinates
(e.g. some fixed value of x), but with varying arbitrary times.
This is usually called a "world line".
Likewise, you can imagine the set of events with a fixed
time coordinate t, but with varying values for the spatial
coordinates. Such a set is usually called a "plane of
simultaneity", although when working in coordinates (t,x),
it is more like a "line of simultaneity", whereas in 4
dimensions (t,x,y,z), it more like a "space of simultaneity".
The latter is probably what you have in mind, so you better
ask
| "In any frame, if the time t is "fixed to a particular value",
| is the time not that same value for any simultaneous
| event in that frame?"
and the answer would be: yes of course, by definition.

Dirk Vdm


.



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