I've just watched this video on YouTube called Bell's Theorem: The Quantum Venn Diagram Paradox
I don't quite understand why it is considered a paradox
At 0:30, he says that as you rotate 2 polarizing filters, less and less photons come through the 2nd filter (and when the angle is 90 degrees 0% of photons come through).
Then at 0:55 he adds the 3rd filter in the middle rotated by 45 degrees and expect two 45 degrees polarizing filters to be equal to one 90 degrees filter.
But 45 degrees filter + 45 degrees filter (relative to each other) does not equal to one 90 degrees filter, right? why does he expect it to be?
I don't understand why he's so surprised saying "somehow introducing another filter actually let's more light through" at 1:05. What's so surprising about it?
He rotated the 2nd filter by 45 degrees, allowing photons with polarization of 0 - 50 degrees (since 45 degrees is 50% of 0-90 degrees range) to come through. Why would they have any problems coming through the 3rd one which rotated 45 degrees relative to the 2nd one?
At 1:10 he says, "the more filters you add the more light comes through". Well, no kidding, by adding 89 more filters between the first filter (0 degrees) and the last one (90 degrees) you just widening the polarization range photons can have - you're basically allowing 100% of photons from the 2nd filter to go through to the end. So in theory, using perfect filters, the amount of photons you can see will gradually increase, and by the time you add 89 more filters (with step of 1 degree) you'll be able to see the same amount of photons as you could after the 2nd filter.