I bolded the word.
Brent
On 1/13/2025 11:59 AM, Alan Grayson wrote:
What word are you referring to. You referred to time order reversal
for spacelike separated events, so if that generally occurs, it could
mean what I thought. AG
On Monday, January 13, 2025 at 12:44:29 PM UTC-7 Brent Meeker wrote:
On 1/12/2025 10:45 PM, Alan Grayson wrote:
On Sunday, January 12, 2025 at 10:03:22 PM UTC-7 Brent Meeker wrote:
On 1/12/2025 5:24 PM, Alan Grayson wrote:
On Sunday, January 12, 2025 at 6:00:33 PM UTC-7 Alan Grayson
wrote:
On Sunday, January 12, 2025 at 5:52:42 PM UTC-7 Brent
Meeker wrote:
On 1/12/2025 8:38 AM, Alan Grayson wrote:
On Saturday, January 11, 2025 at 8:48:21 PM UTC-7
Brent Meeker wrote:
On 1/10/2025 11:29 AM, John Clark wrote:
On Fri, Jan 10, 2025 at 2:15 PM Alan Grayson
<agrays...@gmail.com> wrote:
/>>>If I believe in SR, then I
can use length contraction to
establish the car won't fit in
garage in car's frame./
*>> That depends entirely on what you
mean by"the car won't fit inthe
garage". In the above I've told you
exactly what I mean by the term. What
do you mean? *
/> What do I mean; what any sane person
would mean; that the car's length is fixed
from the pov of the car's frame when car
is moving, but the garage's length is
shortened from an initial condition where
it starts out shorter. AG /
*That's all very nice but that's not what I
asked. What _exactly_ do you mean by "the car
won't fit in the garage" if it's not "the
front of the car is fully within the garage
while _SIMULTANEOUSLY_ the back of the car is
also fully within the garage"?*
I think you meant "the car *will *fit in the
garage."
But there's been so much unproductive back and
forth on this thread, which I thought I had put
to bed, that I'm going to try again and to make
everything even more graphic and explicit.
Here's the spacetime diagram in the reference
frame of the garage (which we would ordinarily
refer to a stationary):
*
*Here we see that the car, whose proper length
is 10', traveling at 0.8c is Lorentz contracted
to a little over 6'. We start with the entrance
open and the exit closed and we see that we can
close the entrance door before we have to open
the exit door because there is a brief period
in which the car is fully within the 8' garage,
the red trapezoid. If the distances are in
feet then the times are in nano-seconds. So
the exit door can stay closed for about 2.5
nano-seconds after the entrance door closes, as
measured in the garage reference frame. For
those 2.5 nano-seconds the car is fully inside
the garage.
Now consider that same events in the car's
frame of reference. Keep in mind the technical
meaning of "event" is a point in spacetime, not
a "happening" as in casual parlance. So points
in the above diagram, like "FRONT ENTERS" are
events and the Lorentz transformation preserves
events but it in general changes their
spacetime relation. Here is the Lorentz
transformation, point-by-point, of the above
diagram. The two diagrams are physically
identical; differing only in being viewed from
different states of motion:
Specifically in this case the time order of
"REAR ENTERS" and "FRONT EXITS" is reversed.
This is typical of space-like separated events:
their order is different in different reference
frames. So from the car's point of view there
is a period of about 7 nano-seconds during
which both doors are open and so the car sails
thru without hitting a door.*
*Brent
When you write the time order of events is
reversed, presumably in the car frame, does this
mean the rear of the car enters the garage before
the front enters (which is physically impossible)?
If not, what do you mean? AG
That's the sort of question that gets you a troll
reputation. The events are clearly labelled and the
axes have time and position variables. If you can't
read the diagram you won't understand a written
explanation any better.
Brent
As I was scrolling down to your reply, I was expecting a
BS answer and that's what I got. F the troll BS. When I
worked at JPL no one questioned my ability of reading
plain English. But you know better. AG
In the car frame, the Front Exits and Rear Enters, in this
order, so the car doesn't fit. In the garage frame, the
Front Enters and Rear Enters, in this order, so the car
fits, but the latter isn't the*/opposite/* of the former,
AFAICT. AG
That's right. You can read the diagram!
Brent
But what IS the "opposite" you referred to?
I didn't use that word, you did, see above
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