JesseM
Science Advisor
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JesseM said:Do you? What are they? Anyway, the phrase "two events exclusively in one frame" doesn't seem to make sense, events are physical things that are assigned coordinates by all frames, they don't "belong" to one frame or another.
You didn't answer my question of what two events you're thinking of, though.cfrogue said:Yea, I should have said from the POV of O.
Yes, this is the physical basis for the time coordinate assigned to any event in an inertial frame--you assume that each frame has a row of clocks attached to different positions on a measuring-rod at rest in that frame, with the clocks synchronized according to the Einstein synchronization convention, and then any event that occurs alongside the rod can be assigned a time-coordinate by looking at the reading on the clock that was right next to the event at the moment it happened.cfrogue said:We now imagine space to be measured from the stationary system K by means of the stationary measuring-rod, and also from the moving system k by means of the measuring-rod moving with it; and that we thus obtain the co-ordinates x, y, z, and , , respectively. Further, let the time t of the stationary system be determined for all points thereof at which there are clocks by means of light signals in the manner indicated in § 1;
http://www.fourmilab.ch/etexts/einstein/specrel/www/
It appears that Einstein had a "clock" located at each point of the stationary measuring-rod synchronized by SR's simultaneity convention.
Do you agree?
The elapsed time between two events on a worldline of a clock at rest in O?cfrogue said:Yea, I am simply talking about elaspsed time in O only, no other frame.