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Thinking of entanglement I started to think that you could take two photons use a beamsplitter to entangle them, then let both of those do the exact same again but with new photons, ad infinitum. Which leads me to my new pet Q Could all photons already be entangled? How would we be able to tell if they were or wasn't??
I think we would begin to notice that they all have the same polarization. We would not find some photons that are spin polarized and some that are polarized in fixed planes. Also I think that entangled photons have their electric and magnetic fields in the same phase. The peak amplitude of the fields happen at the same time.
The weirdness, if you want to call it that, is the premise that the act of measurement of one actually defines both of them and so one might be thousands of miles away when you measure the first and the other instantly is converted, regardless of the distance between them, to the complement of the first. Action-at-a-distance that occurs faster than the speed of light?Some would argue (me for instance) that this is more of a hat trick, not unlike where a machine randomly puts a quarter under one hat or the other, and always a nickel under a second one. You don’t know in advance which contains which. Does the discovery that one hat has a quarter actually change the other into a nickel or was it always that way? Some would say that since it is impossible to know what is under each hat, the discovery of the quarter was determined by the act of measuring (lifting the hat) and the other coin only became a nickel at that instant. Is this action at a distance?