I've already explained it to you last month, there is no contradiction,
just non agreement on simultaneity... from the cars pov, the doors aren't
closed simultaneously, that's it.

Le sam. 7 déc. 2024, 11:51, Alan Grayson <[email protected]> a écrit :

>
>
> On Wednesday, December 4, 2024 at 2:41:25 PM UTC-7 Jesse Mazer wrote:
>
> On Wed, Dec 4, 2024 at 4:06 PM Alan Grayson <[email protected]> wrote:
>
> In the case of a car whose rest length is greater than the length of the
> garage, from pov of the garage, the car *will fit inside* if its speed is
> sufficient fast due to length contraction of the car. But from the pov of
> the moving car, the length of garage will contract, as close to zero as one
> desires as its velocity approaches c, so the car *will NOT fit* *inside*
> the garage. Someone posted a link to an article which claimed, without
> proof, that this apparent contradiction can be resolved by the fact that
> simultaneity is frame dependent. I don't see how disagreements of
> simultaneity between frames solves this apparent paradox. AG
>
>
> Can you think of any way to define the meaning of the phrase "fit inside"
> other than by saying that the back end of the car is at a position inside
> the garage past the entrance "at the same time" as the front end of the car
> is at a position inside the garage but hasn't hit the back wall? (or hasn't
> passed through the back opening of the garage, if we imagine the garage as
> something like a covered bridge that's open on both ends) This way of
> defining it obviously depends on simultaneity, so different frames can
> disagree about whether there is any moment where such an event on the
> worldline of the back of the car is simultaneous with such an event on the
> worldline of the front of the car.
>
> Jesse
>
>
> Are you claiming that the apparent paradox can be resolved by accepting
> the fact that the car and garage frames have different conclusions about
> whether the car fits in the garage? AG
>
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