On Thursday, January 30, 2025 at 7:59:32 AM UTC-7 Jesse Mazer wrote:

On Thu, Jan 30, 2025 at 9:16 AM Alan Grayson <agrays...@gmail.com> wrote:



On Thursday, January 30, 2025 at 6:48:21 AM UTC-7 Jesse Mazer wrote:

On Thu, Jan 30, 2025 at 12:51 AM Alan Grayson <agrays...@gmail.com> wrote:

On Wednesday, January 29, 2025 at 6:52:47 PM UTC-7 Brent Meeker wrote:

Whooo!  Hoooo!

Brent


Another fool who doesn't get it? Another fool who can't think out of the 
box? Jesse claims that the LT preserves what it predicts for local events 
AND, according to his lights, using the LT it can be shown that lengths are 
EXPANDED. OTOH, it's universally predicted that lengths are CONTRACTED 
under the LT.


No, it's universally predicted that length in a frame where an object is 
*in motion* (coordinate-motion using the term I coined in my previous 
comment, to distinguish from your alternate non-standard usage which I 
called 'designated-motion') is contracted relative to that object's "proper 
length" in the frame where the object is *at rest* (coordinate-rest), the L 
in the length contraction equation is always stated to be the proper 
length. So, if you use the LT to transform FROM the frame where the object 
is in motion (coordinate-motion) TO the frame where the object is at rest 
(coordinate-rest), treating the coordinate-motion frame as what you call 
the "source frame" and the coordinate-rest frame as what you call the 
"target frame" for the LT, in this case the length should be contracted in 
the source frame and larger in the target frame,


*So, after our exhausting discussion, you still have no clue what I meant 
by source and target frames.*


So "source frame" doesn't just mean the frame whose information we are 
given to start with (i.e. given coordinates values of length/velocity etc. 
for the objects we are analyzing) before applying the Lorentz transform to 
predict coordinates in the "target frame", i.e. it's not just that 
source=unprimed and target=primed in your description of the LT as giving 
us x-->x' and t-->t'? If that's not what you meant by "source" and 
"target", fine, but that's just a linguistic matter, you can delete all 
references to "source frame" and "target frame" in my comment above and 
change it to "starting frame" and "predicted frame" or whatever terminology 
you want to use for this; it changes nothing about the substantive point I 
was making.
 

* I never said anything about a LT from a frame where the object is in 
motion. I alway stated I was transforming FROM a rest frame to a moving 
frame.*


But you made a big deal of the fact that a ruler isn't measured as 
contracted in its own frame (and a clock isn't measured as running slow in 
its own frame), claiming this shows a divergence between what is PREDICTED 
by the LT and what is MEASURED. If you aren't actually using the LT to make 
PREDICTIONS about what should be true in the ruler's own frame (the frame 
where the ruler is in a state of coordinate-rest), i.e. using the ruler's 
frame as what I called the 'predicted frame', then how can this example be 
used to show a divergence between LT predictions vs. measurements?
 

* Is there any textbook which makes your claim? I've never seen it, or 
heard about it, or hinted about it, and for this reason I ignored your 
mathematics. AG*


I don't know that any textbook would go to the trouble of saying something 
like "the length of an object may be larger in the primed frame than the 
unprimed frame when you use the Lorentz transform to go from unprimed to 
primed", but I promise you that no textbook will say anything like 
"applying the Lorentz transformation to go from unprimed to primed always 
results in the length of any object being shorter in the primed frame than 
the unprimed frame". The only real reason to say something like the former 
would be to dispel a misconception like the latter, but I doubt this is a 
common misconception, I've talked to plenty of people who are confused 
about relativity on various forums over the years and never come across 
this idea of yours.

If I looked around a bit I could probably find numerical examples in 
textbooks where just looking at the coordinates they give for some object 
in the unprimed vs. primed frame (or whatever notation they use to 
distinguish coordinates in the 'starting frame' from the 'predicted 
frame'), you could verify that the object was longer in the primed than it 
was in the unprimed.

 
*Since the primed frame is the moving frame, if that were true, then SR 
wouldn't predict length contraction!  AG*

Would that satisfy your request for a textbook citation, or are you looking 
exclusively for a general verbal statement like the one I imagined above?

Jesse

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