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
*
*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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