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Posted By: AngusYou can't pass the photon from filter to filter if you detect it.This, I think, is the problem here. All 3 events are consecutive measurements of electron spins.
Posted By: Andrew PalfreymanPosted By: AngusYou can't pass the photon from filter to filter if you detect it.This, I think, is the problem here. All 3 events are consecutive measurements of electron spins.
I thought the 9/16 statistic interesting. I wonder if Carroll carries that fraction around in his head. I wonder if it's 33/64 for one more measurement (i.e. the general formula).
ETA: 27/64 if I did it right, so the general form is (3/4)^{n}
Posted By: Andrew PalfreymanThe general form is (3/4)^{n}At least this makes sense. For the n^{th} measurement, there are 4 possibilities, 3 of which are allowed by QM:
Posted By: alsetalokinIn other words, it's all fuel for the shitrocket.In one of Carroll's Other Many Worlds, the shitrocket is a reality in a society dominated by cruelty and a desire to travel. The galley slaves are the engine, and feed like Sumo wrestlers before the flight.
Posted By: alsetalokinWasn't there a movie like that? Some train speeding through an ice-age snowworld....
Posted By: Andrew PalfreymanPosted By: Andrew PalfreymanThe general form is (3/4)^{n}At least this makes sense. For the n^{th}measurement, there are 4 possibilities, 3 of which are allowed by QM:
- an orthogonal axis to the (n-1)^{th}measurement's axis is used, so the result is indeterminate (2 possibilities of 4)
- the same axis to the (n-1)^{th}measurement's axis is used, so the result is determined to be the same as before (1 possibility of 4).
It is the circumstances surrounding the disallowed case which I find so mysterious.The simple act of making an intermediate measurement on an orthogonal axisallows the once-disallowed result to now occur.
e.g. disallowed: 0 1, but allowed: 0 + 1
Posted By: alsetalokinI think there is a demonstration using polarizing filters that illustrates this effect (or a similar one) with photons.