On 12/6/2024 7:57 PM, Alan Grayson wrote:
On Friday, December 6, 2024 at 8:47:24 PM UTC-7 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 meant the elogated car doesn't fit in car frame, but we
already knew this. AG*
*In the words of Oliver Heaviside, "I've given you an argument. I'm not
obliged to give you an understanding."
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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