I think it's confusing to introduce "frames" that are spacially extended
(although Einstein did). Better to recognize that all physical times
are proper times of some clock and they can be set to the same time when
they are at the same place and as ideal clock's they are assumed to keep
perfect time along their world lines.
Brent
On 10/23/2024 3:46 PM, Jesse Mazer wrote:
On Wed, Oct 23, 2024 at 6:31 PM Alan Grayson <[email protected]>
wrote:
On Wednesday, October 23, 2024 at 1:55:13 PM UTC-6 Brent Meeker wrote:
The fact that you never specify whether "synchronized" means
"set to the same time" or "caused to run at the same rate" or
both, makes me think you don't understand your own question.
Brent
I meant when juxtaposted, to set at the two clocks at the same
time, and then synchronized throughout each frame. Then I expect,
but am not certain, that the rates in the two frames will be the
same. AG
"Synchronized" only has meaning relative to a particular frame's
definition of simultaneity--since the frames disagree on
simulataneity, you can momentarily set all clocks so that they read
the same time at the same moment relative to one frame, but you can't
do this in both frames. And whichever frame you pick, unless you
artificially adjust the ticking rate of the clocks moving relative to
that frame to "correct" for time dilation, the moving clocks won't
stay synchronized with the clocks at rest in that frame.
Jesse
On 10/23/2024 6:00 AM, Alan Grayson wrote:
In this scenario, is there any contradition with the
principles of SR? Suppose there exist two inertial frames,
moving in opposite directions with velocity v < c along the
x-axis, where one clock of each frame is initially located
one unit, positively and negatively respectively from the
origin, and when these clocks are juxtaposed at the origin,
the multiple set of clocks in both frames can be
synchronized? Does this scenario imply an unwarranted
affirmation of simultaneity?
TY, AG
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