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
*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
AG
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