On Thu, Dec 5, 2024 at 1:19 AM Alan Grayson <[email protected]> wrote:

* >But the conclusion that it fits seems to contradict the fact that the
> length of the garage shrinks from the car's pov*


*But from the garage man's POV the garage's length does not shrink but the
car's length does.  In Special Relativity time is diluted by  the factor  γ
which is equal to    1 / √(1 - v²/c²) ; and an object's length will be
reduced by a factor of the inverse of γ. So Length contraction reduces the
length by 1/γ, and Time Dilation increases the time interval by γ. For
example, at 87% the speed of light length contracts to half its original
rest length, and time dilutes by a factor of two.*

*The bottom line is that when two observers are in relative motion, like
the garage man and the car driver are, they measure space and time
differently. An event has a position and a time, and the closing of both
garage doors is an event, so they will not agree if that event happened
simultaneously when the entire car was in the garage or not.*
*John K Clark    See what's on my new list at  Extropolis
<https://groups.google.com/g/extropolis>*

tgc

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