Hurkyl
Staff Emeritus
Science Advisor
Gold Member
- 14,922
- 28
Geistkiesel: here is your experiment drawn as a diagram:
Legend:
A, M, B: your A, M, B
Z, N, Y: Your A', M', B'
0: A point where a clock read 0
\, /: photons
*: Multiple things at this point (such as two clocks, or a clock and a photon)
The first diagram is the stationary reference frame. The second diagram is the moving reference frame. Space runs from left to right, and time increases as you go downward.
The first diagram was taken directly from your experimental setup. I placed M and N midway between A/Z and B/Y, and simply drew out the time evolution of the system.
To draw the second diagram, I started with the unambiguous fact that both photons meet precisely when they each meet M. I drew the time evolution backwards, and used the fact that N is midway between Z and Y when M meets N to place where Z and Y should be. I then applied the fact that Z meets A and are both set to zero when the left photon is emitted to finish off the left side of the diagram, and similarly for Y and B. I did, however, have to estimate how N lies relative to M. Any other such choice yields a similar diagram.
Your mistake, as everyone is trying to tell you, is made clear from the diagram. In the moving frame, the clocks are not synchronized; you can see that they are all zero at different times. We see that SR can handle this scenario perfectly well, as long as you don't start with the assumption that synchronization in one frame = synchronization in all frames.
(NOTE: In the second drawing, to keep the diagram small, the lexical distance between A and M is 6 and one-third characters)
Code:
0 0 0
*\ * /*
* \ * / *
AZ \ MN / BY
AZ \ MN / BY
AZ \ MN / BY
A Z \ M N/ B Y
A Z \ M * B Y
A Z \M/N B Y
A Z * N B Y
A Z M\ N B Y
A Z M \N B Y
A Z M \N B Y
A Z M * B Y
Z A NM 0
ZA NM /*
ZA 0 / *
ZA * / BY
0 * / BY
*\ MN / BY
* \ MN/ B Y
AZ \ M* B Y
AZ \M/N B Y
AZ * N B Y
A Z M\N B Y
A Z M * B Y
Legend:
A, M, B: your A, M, B
Z, N, Y: Your A', M', B'
0: A point where a clock read 0
\, /: photons
*: Multiple things at this point (such as two clocks, or a clock and a photon)
The first diagram is the stationary reference frame. The second diagram is the moving reference frame. Space runs from left to right, and time increases as you go downward.
The first diagram was taken directly from your experimental setup. I placed M and N midway between A/Z and B/Y, and simply drew out the time evolution of the system.
To draw the second diagram, I started with the unambiguous fact that both photons meet precisely when they each meet M. I drew the time evolution backwards, and used the fact that N is midway between Z and Y when M meets N to place where Z and Y should be. I then applied the fact that Z meets A and are both set to zero when the left photon is emitted to finish off the left side of the diagram, and similarly for Y and B. I did, however, have to estimate how N lies relative to M. Any other such choice yields a similar diagram.
Your mistake, as everyone is trying to tell you, is made clear from the diagram. In the moving frame, the clocks are not synchronized; you can see that they are all zero at different times. We see that SR can handle this scenario perfectly well, as long as you don't start with the assumption that synchronization in one frame = synchronization in all frames.
(NOTE: In the second drawing, to keep the diagram small, the lexical distance between A and M is 6 and one-third characters)
Last edited: