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In the path integral formalism, where we treat a photon as if it takes every possible path, aren't the possible paths limited by the speed of light?
If we were to perform the double slit experiment, and shield the detector after a specified time frame to limit the time for a photon to make the journey, would this affect the results by eliminating the more circuitous paths? If the detector shield was activated exactly after the straight line light travel distance had elapsed, then wouldn't only classical straight line photon paths be possible? Would this affect the results, measurably or otherwise?
This recent experiment indicates that with a third slit, non-classical paths should have a measurable influence if they are present. I take it we have not yet measured the contribution by non-classical paths then?
http://physicsworld.com/cws/article/news/2014/sep/25/photons-weave-their-way-through-a-triple-slit
If we were to perform the double slit experiment, and shield the detector after a specified time frame to limit the time for a photon to make the journey, would this affect the results by eliminating the more circuitous paths? If the detector shield was activated exactly after the straight line light travel distance had elapsed, then wouldn't only classical straight line photon paths be possible? Would this affect the results, measurably or otherwise?
This recent experiment indicates that with a third slit, non-classical paths should have a measurable influence if they are present. I take it we have not yet measured the contribution by non-classical paths then?
http://physicsworld.com/cws/article/news/2014/sep/25/photons-weave-their-way-through-a-triple-slit