Bell's Inequality Violated: Spooky Action at a Distance

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Physicists have shown conclusively that Bell's Inequality does not hold, meaning that there is some unknown processes in quantum mechanics we are yet to discover.

Further reading:

Experimental loophole-free violation of a Bell inequality using entangled electron
spins separated by 1.3 km, B. Hensen et al:

Quantum spookiness has been confirmed by first loophole-free experiment, Science Alert, Fiona MacDonald:
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That is fascinating! It's good to see the Dutch doing some cutting-edge science.
Your description was great and very understandable! The diagrams showing the spin relationship between entangled electrons really helped me to understand the concept!

AstroAndrew
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If you look at the derivation of Bell's Inequality, you will see that he assumes a hidden variable and shows that, whatever it is, it vanishes somewhere in the middle of the derivation of his inequality.

How does he get the presumptive hidden variable to vanish?

The easiest way to do this is to take the special case (or simplifying assumption) that the hidden variable is just a static parameter (not time varying). In this case, the derivation of Bell's Inequality is quite straightforward, and the presumptive (static) hidden variable does indeed vanish in the middle of the derivation. Since Bell's Inequality is violated, you can immediately conclude that the presumptive hidden variable cannot be static. It must at least be time varying.

OK, so now let's consider a time-varying hidden variable. Now what does it take to get the presumptive time-varying hidden variable to vanish somewhere in the middle of the derivation? Again, one needs a simplifying assumption. One has to assume that the time-varying functions, whatever they are, are perfect mirror images of each other. This is equivalent to assuming there is a common master clock that pervades all of spacetime so that the twin particles age in perfect phase-locked synchrony as they speed apart. In that case, the derivation of Bell's Inequality still goes through. But Bell's Inequality is violated, so that means the simplifying assumption of uniform timekeeping must not be realistic.

And indeed, General Relativity reminds us that clocks are affected by gravity. The presence of any gravitational gradient will cause the twin particles to age at slightly different rates, so that they are not perfect mirror images of each other. Mathematically speaking, there remains a residual non-zero "beat frequency" that no longer vanishes in the middle of Bell's derivation. In other words, time itself is the not-so-hidden variable.
Einstein might have called this "spooky timekeeping at a distance."

BarryKort
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I'm a proponent of the idea that particles can "know" the result of an experiment in advance. My reasoning is based off of the "delayed choice quantum eraser" and it's results. Additionally, the idea expressed by the path integral could easily be extended to include a-temporal interactions (meaning every state is taken, and every path is taken... unless you put something in the way). Further more, nonlocality can produce paradoxes if both elements of an entangled pair are measured simultaneously.

Have a good day.

TGC
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I am a physicist and your wording of almost everything you covered was terribly wrong. However what's more important is that you're interested, and hopefully getting other people interested, in science, and for that I smile.

bboyHarrypotter
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Where has the animals at the end gone?

OldJohnTomas
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0:20 rather, doesn't obey locality _and/or_ realism.

-danR
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