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Whether I am holding my filter at 0 or 45 (or 90 or 135) degrees, the chance that your photon will be transmitted as opposed to reflected remains exactly 50 percent. The system is completely useless for sending messages. Of course there is a certain correlation between events at either end—if I hold my filter at the same angle as yours, the two photons always behave in the same way; if my filter is at 45 degrees to yours, they might behave differently, but this correlation only becomes apparent afterward, when we meet up to compare results.

An appropriate unit of measure to use here is the Angstrom, 1 ten-billionth of a meter. The atoms in a typical solid are 2 or 3 Angstroms apart. When a photon hits a solid, it usually interacts with just a single atom. A particlelike photon would therefore presumably be, at most, 1 Angstrom in diameter. Could such a tiny thing really jostle other corpuscles millimeters or even centimeters away from it? The problem gets worse when you take into account that, even with naked-eye observation, light’s wavelike behavior can be seen at illumination levels thousands of times less than a brightly lit room, when individual photons are centimeters or even meters apart.

A lightbulb emits about 1020 (that stands for one followed by 20 zeros, 100 billion billion) photons of visible light every second. This is roughly the same as the number of atoms in 1 cubic millimeter of solid matter. Perhaps just as billions of air molecules jostling one another can produce a sound wave, and billions of water molecules jostling one another can create a geometrically perfect ripple on the surface of a liquid, billions of photons jostling one another could produce light’s wavelike action?

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Statistical interpretation of quantum mechanics (Nobel lecture) by Born M.


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