Is Simultaneity Absolute or Relative in the Theory of Relativity?

  • #36
CClyde said:
a convention such as the Einstein convention can only establish a time from observer to a source/reflector, not a time to a spacetime coordinate
This is wrong. Why on earth would you think this is correct?

CClyde said:
This tells me there is a significance kinematic distinction between moving frames revealed in the simultaneity of light events.
There is no distinction in the kinematics. The kinematics of this situation are wholly contained in the second postulate which is exactly the same in both frames. We have already covered this.

CClyde said:
Is there a flaw in this reasoning?
Yes, you make random unjustified assertions that are not at all correct.
 
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  • #37
CClyde said:
There are two simultaneities to consider
There is only one that is relevant. The time of an event.
CClyde said:
, the emissions (two events as they have spatial separation) and the arrival of the light from those events at an observer (one event when simultaneous)
This is irrelevant, as not all events emit light and very few events can be "seen". A train timetable is based on where the train is and not when light from the train reaches you. For example, at train at Edinburgh train station cannot be seen from a London train station. There is no light signal from a departure event at Edinburgh to the destination station at London. And, yet, the event "train left Edinburgh on time at 13:45" is a well-defined event. Even if Edinburgh station was in pitch darkness.
CClyde said:
Assigning a time coordinate to the emission events is as Ibix said, a matter of convention. We cannot know our motion relative to the emission events,
There is no such thing as "motion relative to an event". An event is a point in spacetime.
CClyde said:
so we adopt a convention to set a time coordinate for the emissions. If they are the same, they are simultaneous.
But a convention such as the Einstein convention can only establish a time from observer to a source/reflector, not a time to a spacetime coordinate unless the two are the same which they would not be if the source frame is in motion relative to the event.
Again, there is no such thing as motion relative to an event. Note that your first fundamantal problem is that you do not properly understand the concept of spacetime.
CClyde said:
This is why the moving frame (sources included) finds no simultaneity in the arrival times of light from two simultaneous emissions
Simultaneity of events has nothing to do with light signals from those events. You can do physics in a dark room. You do not need electromagnetic radiation to have a coordinate system.

Some of the texts on SR over-emphasise the role of light signals. But, even if there were no such thing as EM radiation, SR would still be a valid theory of spacetime.
CClyde said:
This tells me there is a significance kinematic distinction between moving frames revealed in the simultaneity of light events.
Which is a fundamental misunderstanding on your part. Which, moreover, I doubt John Norton shares.
CClyde said:
Is there a flaw in this reasoning?
Yes. As above, it's all wrong.
 
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  • #38
CClyde said:
This tells me there is a significance kinematic distinction between moving frames revealed in the simultaneity of light events.
Any inertial reference frame (IRF) can assume that it is stationary and can assign times in all locations that make sense. All physics and physical behavior will be normal. The IRF can define "simultaneous" of two events, either at the same location or at separated locations. Everything would seem normal. That is not the problem. The problem is that any other IRF, moving relative to it, would define "simultaneous" differently for two spatially separated events.
When you say that there "is a significant kinematic difference", it is true that the two IRFs are different. But logical measures of time and distance in each take care of the difference and all physics is identical in the two.
 
  • #39
Mentor Note -- the OP is on a 10-day vacation from PF. Have a nice day. :smile:
 
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