In a previous post, Hardie complained that ...
quote:
When am I ever going to get serious intellectual discussion here?
Why don't we discuss Literature, say the inaccessibility of "Ulyssess" by James Joyce
Or Philosophy such as does freedom really exist as in "Existentialism" from Satre's perspective
Or where does Quantum Mechanics begin and end?
Was there a Big Bang? What was there before the Big Bang?
So I thought we would start with Quantum Mechanics.
For Instance
These are the props. You own a barn, 40m long, with automatic doors at either end, that can be opened and closed simultaneously by a switch. You also have a pole, 80m long, which of course won't fit in the barn.
Now someone takes the pole and tries to run (at nearly the speed of light) through the barn with the pole horizontal. Special Relativity (SR) says that a moving object is contracted in the direction of motion: this is called the Lorentz Contraction. So, if the pole is set in motion lengthwise, then it will contract in the reference frame of a stationary observer.
You are that observer, sitting on the barn roof. You see the pole coming towards you, and it has contracted to a bit less than 40m. So, as the pole passes through the barn, there is an instant when it is completely within the barn. At that instant, you close both doors. Of course, you open them again pretty quickly, but at least momentarily you had the contracted pole shut up in your barn. The runner emerges from the far door unscathed.
But consider the problem from the point of view of the runner. She will regard the pole as stationary, and the barn as approaching at high speed. In this reference frame, the pole is still 80m long, and the barn is less than 20 meters long. Surely the runner is in trouble if the doors close while she is inside. The pole is sure to get caught.
Well does the pole get caught in the door or doesn't it? You can't have it both ways. This is the "Barn-pole paradox."
If you were to apply this to say "The Windsurfing paradox", is it possible that from the perspective of the viewer, it is possible for someone to perform a double loop forward between two fairly large sets and yet no one other than the performer of the loops was actually able to see them because they were the only person "inside the barn" as such?
HARDIE - any theories????