On 1/17/2025 6:13 PM, Alan Grayson wrote:
The inconsistency I see is that measurements done in the frame of the
moving rod do NOT show that the rod in its frame is contracted,
Nothing is ever Lorentz contracted in it's own frame because nothing is
ever moving it it's own frame.
even though this is ostensibly the prediction of the LT, from the pov
of the stationary frame.
No. The prediction is that measurement of the rod from the stationary
frame will find it to be shorter than it's length measured in it's own
frame. If you can't even keep straight that its RELATIVITY theory,
there's no hope for you.
Brent
This is different compared to what happens in the frames of the TP,
where the predicted slowing of the traveling twin's clock is
immediately manifested in the frame of the traveling twin.
No it is not. It is only slow relative to the other twin's clock.
Do you understand what puzzles me? AG
You confuse yourself because in one case you measure an accumulated
interval over a path length and because it's time you are surprised (see
a paradox) that they are different. In the other case you measure a
distance at one instant (unrealistically) and compare it to the same
distance measured in another frame. You don't consider measuring along
two different paths between two events because you already know that two
paths between the same events can have very different lengths and so it
doesn't seem paradoxical.
Brent
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