On 12/6/2024 7:47 PM, Alan Grayson wrote:
On Friday, December 6, 2024 at 8:00:56 PM UTC-7 Brent Meeker wrote:
On 12/6/2024 6:09 PM, Alan Grayson wrote:
On Friday, December 6, 2024 at 5:30:59 PM UTC-7 Brent Meeker wrote:
I thought I had put this to bed long ago. Here's how is looks
in the cars reference frame. The garage ,which is 10' long,
is moving fast toward the car. It's length is Lorentz
contracted to only 6', so the car doesn't fit. No surprise
since the car is 12' long.
But now from the garage's reference frame. The car is
contracted to only 8' and so fits nicely, both ends of the
car are inside the garage at the same time (where
simultaneity is defined in the garage reference frame).
But doesn't this contradict the car's observation that the
garage was way to short? No, because what the car measure to
be simultaneous is shown as the slanted car. His front
bumper was well beyond the end of the garage when his rear
bumper had just entered. These two diagrams are just the
Lorentz transform of one another.
*Please elaborate on this point. TY, AG*
Brent
*So, from the car's frame, the car won't fit in garage due to
contraction of garage's length, but from garage frame the car
fits perfectly due to contraction of car's length, and then it
doesn't? *
How did you get "and then it doesn't out of what I wrote." Study
the diagram.
Brent
*First the car doesn't fit from car's frame, then it does fit from
garage frame, then the elogated car doesn't fit from garage frame. AG*
*Maybe you don't know the difference between a space/time diagram and a
space/space diagram.
Brent
*
*So, apparently, there's no objective answer to the question of
whether car fits in garage, or not. Doesn't there have to be
agreement betweem the frames to claim the apparent paradox is
resolved? BTW, what velcoity did you use to get the numerical
contraction values? AG*
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