If the doors are too soft and the pole is able to penetrate through them both observers will agree that the barn won t get caught and will continue to move.
Relativity barn door paradox.
A person carrying a 20 m pole runs at relativistic speeds at a 15 m long barn with doors open on both ends.
Here s the thought experiment.
Is the symmetry of length contraction paradoxical.
The pole and barn paradox is a classic demonstration of the breakdown of universal simultaneity in special relativity.
The fact that two events are simultaneous in one frame of reference does not imply that they are simultaneous as seen by an observer moving at a relativistic speed with respect to that frame.
To calculate the times for the two frames of reference consider the pole entering the barn and set t t 0 at that instant and x x 0 to establish.
According to relativity in your reference frame the barn is shorter than the pole since it is moving and has relativistic dilation.
Barney stands beside a barn with doors open at both ends.
The pole barn paradox is a famous variation on the twin paradoxwhich must be addressed with the ideas of simultaneity in relativity.
Einstein s theory of special relativity makes several predictions some of which seem counter intuitive.
The ladder is imagined passing through the open front and rear doors of a garage or barn which is shorter than its rest length so if the ladder was not moving it would not be able to fit inside.
When it and the barn are at rest the pole is longer than the barn.
The pole and barn paradox ladder and garage paradox.
There is a barn with a door on each end.
You have a pole which is exactly as long as the barn at rest.
The pole and barn paradox or the ladder and garage paradox pose the question.
Polly runs toward the barn so quickly a significant fraction of the speed of.
And clearly there s enough room if i do it quickly enough very very quickly.
My barn is 8 meters long your pole is 8 meters long.
You run into the barn with the pole.
If it is moving at relativistic speeds the theory of relativity says that it can at l.
Can a pole that is longer than a barn completely fit inside the barn.
From the farmer s viewpoint the doors may get closed simultaneously but simultaneity is relative in relativity so in the pole s reference frame the front door closes before the rear door does.
Just as you get inside the barn okay or not just as you get inside but as you get all the way inside the barn so your pole reaches the back door i will close both doors simultaneously.
One of the classic paradoxes of special relativity is the pole barn paradox.
It involves a ladder parallel to the ground travelling horizontally at relativistic speed and therefore undergoing a lorentz length contraction.
Polly carries a pole.
