Motor Daddy:
You haven't replied to post #533.
That response is a reply to your claim that Einstein made a mistake in chapter 9 of "Relativity". Since I made that post, you have helpfully linked to Einstein's text here:
Einstein, Relativity, Ch.9
So, let me summarise the example as Einstein puts it, just so we know we're on the same page.
1. The observer M is on the embankment, located half way between two points A and B, marked on the platform.
2. The observer M' is on the train, located half way between the two points A and B, marked on the train.
3. Lightning strikes at simultaneously at points A and B
in the frame of the embankment.
The question Einstein asks is: did the lightning strikes also occur simultaneously
in the train's frame?
He answers that question as follows:
4. The location of M' coincides with M at the instant the lightning hit points A and B
in the embankment frame.
5. After the strikes occur,
in the embankment frame, M' moves towards point B and away from point A.
6.
In the embankment frame, light travels at the same speed in both directions from A and B towards M'.
7.
In the embankment frame, light from B therefore reaches M'
before the light from A reaches M'. In other words, M' sees the two flashes at different times and he sees flash B before flash A.
8.
In the train's frame, M' does not move relative to points A and B (as marked on the train).
9.
In the train's frame, light travels at the same speed in both directions from A and B towards M'. (This is Einstein's 2nd postulate of relativity.)
10. Since M' is remains at all times half way between A and B (as marked on the train), light must travel an equal distance from A to M' compared to from B to M'.
11. As a matter of fact (see point 7), we know that observer M' sees the light from flash B before the light from flash A.
12. Therefore, M' concludes that
in the train frame, the strikes did NOT occur simultaneously. Strike B must have occured before strike A
in the train frame.
Summary:
- In both frames, light from flash B was received by M' before light from flash A.
- In the embankment frame, the strike at A occured simultaneously with the strike at B.
- In the train frame, strike B occurred earlier than strike A.
Questions for Motor Daddy:
Do you claim there is something wrong with Einstein's reasoning here?
Obviously, we already know that you utterly disagree with point 9 of the above analysis. But it appears you also think that Einstein made some kind of mistake. In other words, you believe that even IF Einstein's 2nd postulate is true (point 9), Einstein has still said something inconsistent and self-defeating in the above argument.
So, question: Given that Einstein is working in a mathematical world where point 9 is taken to be true, is there an error in any of the other points?
If you believe there is an error, please refer me to the numbered point above that is in error and explain what the error is in detail. (e.g. "There is an error in point 6 because ....").