On Monday, January 13, 2025 at 11:54:56 PM UTC-7 Brent Meeker wrote:




On 1/13/2025 10:39 PM, Alan Grayson wrote:



On Monday, January 13, 2025 at 11:20:05 PM UTC-7 Brent Meeker wrote:




On 1/13/2025 10:04 PM, Alan Grayson wrote:



On Monday, January 13, 2025 at 10:21:28 PM UTC-7 Brent Meeker wrote:




On 1/13/2025 9:02 PM, Alan Grayson wrote:

Using the LT, we have the following transformations of Length, Time, and 
Mass, that is, 
x --->x',  t ---> t',  m ---> m', where the primed quantities are the 
transformed values in the primed frame, given their values in the unprimed 
frame. The question is this; which of the quantities in the primed frame 
are actually measured in the primed frame, and which are appearances in the 
primed frame as seen by unprimed frame? 

All of them.  That's why it's *relativity* theory.  x and t are 
measurements in one frame and x' and t' are measurements in another frame 
moving *relative* to the unprimed frame.  And note the use of 
"measurements"  not "as seen".  The two are different when you consider 
things moving at a significant fraction of the speed of light.


*But length in primed frame is contracted from the pov of unprimed frame, 
but in primed frame it isn't measured as contracted, so it APPEARS 
contracted from the pov of unprimed frame*

No, it will *appear* rotated (c.f. Terrell rotation).  It will *measure* 
contracted (using light and clocks, as with radar).

Brent


*Terrell rotation over my head, *

It's probably within your capability to Google it.


*but length contraction allegedly measured in primed frame contradicts the 
discussion of the paradox, where car and garage lengths aren't contracted 
when viewing each other. *

That doesn't even parse.


*Here the garage is in the primed frame but isn't actually contracted. *

No object is ever contracted in it's own frame, but you haven't said which 
is the primed frame, thus introducing ambiguity.


*So the LT seems to deal in appearances, not what's actually measured in 
the primed or transformed frame. AG*




*I already told you that LT transforms what it measured NOT what appears. 
Brent*


*Yes, the LT transforms what is measured, and what is transformed is called 
the primed frame, and as you wrote, no object is ever contracted in its own 
frame. So the LT doesn't give us what's measured in the primed frame, only 
how it appears from the pov of unprimed frame. Correct? AG*


* but NOT measured in primed frame. Same with time and mass? AG *

How is this consistent, if it is, with the fact that when doing EM 
measurements, E' and B' are the actual measurements of the fields in the 
primed frame, given that E and B are measured in the unprimed frame, but 
the same cannot be said of some, or all of the measurements of Length, 
Time, and Mass? TY, 

The same applies except the electromagnetic field is a tensor, so it 
transforms by tensor like a sequence of LTs.  How is that not consistent?

Brent

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