You bring them together at the same place. The only other useful frame
is the cosmic frame in which all the matter (stars, galaxies, CMB) is on
average at rest. This can be determined locally without any reference
to any other distant objects.
Brent
On 10/23/2024 6:36 PM, Alan Grayson wrote:
On Wednesday, October 23, 2024 at 7:10:36 PM UTC-6 Brent Meeker wrote:
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
How do we get time dilation from world lines if both represent the
same path in the sense that neither is considered at rest? AG
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
--
You received this message because you are subscribed to
the Google Groups "Everything List" group.
To unsubscribe from this group and stop receiving emails
from it, send an email to [email protected].
To view this discussion on the web visit
https://groups.google.com/d/msgid/everything-list/d2870ea8-f2dc-49ff-9aad-3f7feb1e812dn%40googlegroups.com
<https://groups.google.com/d/msgid/everything-list/d2870ea8-f2dc-49ff-9aad-3f7feb1e812dn%40googlegroups.com?utm_medium=email&utm_source=footer>.
--
You received this message because you are subscribed to the
Google Groups "Everything List" group.
To unsubscribe from this group and stop receiving emails from
it, send an email to [email protected].
To view this discussion visit
https://groups.google.com/d/msgid/everything-list/b2f0fc92-5616-4f2e-b5dc-59d719e1baeen%40googlegroups.com
<https://groups.google.com/d/msgid/everything-list/b2f0fc92-5616-4f2e-b5dc-59d719e1baeen%40googlegroups.com?utm_medium=email&utm_source=footer>.
--
You received this message because you are subscribed to the
Google Groups "Everything List" group.
To unsubscribe from this group and stop receiving emails from it,
send an email to [email protected].
To view this discussion visit
https://groups.google.com/d/msgid/everything-list/CAPCWU3%2BKVsZRW5MBLQCYG_NwXcOgrk%2BEZEW%2BpmtPKpwv%3D%2BqO%2BA%40mail.gmail.com
<https://groups.google.com/d/msgid/everything-list/CAPCWU3%2BKVsZRW5MBLQCYG_NwXcOgrk%2BEZEW%2BpmtPKpwv%3D%2BqO%2BA%40mail.gmail.com?utm_medium=email&utm_source=footer>.
--
You received this message because you are subscribed to the Google
Groups "Everything List" group.
To unsubscribe from this group and stop receiving emails from it, send
an email to [email protected].
To view this discussion visit
https://groups.google.com/d/msgid/everything-list/5ff13d7e-0470-4e84-a86c-70887fab6973n%40googlegroups.com
<https://groups.google.com/d/msgid/everything-list/5ff13d7e-0470-4e84-a86c-70887fab6973n%40googlegroups.com?utm_medium=email&utm_source=footer>.
--
You received this message because you are subscribed to the Google Groups
"Everything List" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To view this discussion visit
https://groups.google.com/d/msgid/everything-list/86854053-b30d-4802-872b-bc784bd932ab%40gmail.com.
