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emgee comments on Joint Configurations - Less Wrong
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It is not at all clear to me why a single half-mirror should result in two multiplications and not an addition in the case of there being more than one photon. After all they are added up when they strike the detector.
It is completely unmentioned why this would be the case, and would seem to bear explanation.
I'm not quite understanding it either, but if I'm slightly understanding correctly: use sound wave as an ANALOGY. The half-silver mirrors allow it to "resonate" (sound terms) and ricochet off at the same time, while full silver only allows it to ricochet. (this is most likely VERY WRONG. I just now got the reasoning behind complex numbers, rotation of planes, 3d waves, etc)