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PeterDonis said:No, it won't. As I have already said, the only "result" of the experiment I proposed is which signal arrives first. There is no measurement of speed or indeed any numerical value involved; it's just a simple choice between three discrete possibilities: A arrived before B, B arrived before A, or A and B arrived at the same instant. The time ordering is all along a single timelike worldline. No "interpretation" is required. No assumption about simultaneity or the speed of light or anything else is required.
I'm sure you can make the distinction between "result" (the 3 possibilities) and "conclusions that can be obtained from a certain result depending on the theoretical assumptions applied" just as well as I can. The latter are what give different interpretations of a "result".
We agree here, I just called error what you called resolution.PeterDonis said:No, it doesn't. The three possible results are discrete alternatives--see above. There is of course a finite resolution to our comparison of arrival times of the two signals, but that just means the third discrete alternative, "A and B arrived at the same instant", has a finite "width", so to speak--if the two signals arrive within some small enough time interval of each other, our apparatus will tell us they arrived at the same instant even though that's not literally true. But this is not a matter of statistical error; it's just a matter of finite resolution, which will be true for any detector