View Full Version : Feynman's sum over all paths


homeydontplaydat
01-16-03, 08:47 PM
I understand in quantum electro dynamics that a particle is assumed to take all possible paths through the universe and the paths with probability amplitudes that are near each other add to get the path we see.

doesn't this violate relativity in that particle is in a way going faster than light even though we don't see it? or does relativity only apply to the sum of the probability amplitudes?

chroot
01-16-03, 09:35 PM
Originally posted by homeydontplaydat
doesn't this violate relativity in that particle is in a way going faster than light even though we don't see it? or does relativity only apply to the sum of the probability amplitudes?
The path integral is an integral over all possible paths -- that is, over all points that are timelike separated from the initial point.

- Warren

homeydontplaydat
01-21-03, 01:43 AM
i'm really sorry but that didn't help that much... can you explain a little more or am i just dumb?

James R
01-21-03, 08:44 PM
Translation: The paths in the integral only include paths which involve travel at less than the speed of light.