On 1/17/2025 5:40 PM, Alan Grayson wrote:
Let me clarify the problem I'm trying to resolve; notice the T in LT. It stands for Transformation, presumably from one frame to another. It's claimed that the LT will produce the measured result in the target frame,
See you've already introduced an ambiguity.  The measured result in the target frame is whatever it is in the target frame.  Is the "target frame" the one moving relative to the frame in which the measurement made?  What are we calling that frame?  Let's call it A and call the "target frame" B, the one moving relative to A with speed v.  Then things that measure length x in B will measure LT(v)x in A.

based on parameters of the source frame for the transformation.
That's just muddy.  What "parameters"?  Which is the "source" frame?

And this seems to be the case in the TP; from the source frame, the frame at rest on the Earth, the LT tells us what will be measured in the traveling frame. And it seems to do just that, since the clock in the traveling frame actually ticks slower as predicted. If it didn't, the traveling observer would not age slower than the stationary observer. But when we consider the Andromeda problem, the LT seems NOT to predict what the frame of the moving rod
What is the rod moving relative to?  Not the Earth and Andromeda. So what?

Brent

will measure. Maybe it does, as you indicated, but only when a measurement is taken, unlike the case of the TP, where the result seems inherent, and not requiring a measurement.  AG

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