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Today I am going to tell you about one of my favourite results, Bell's theorem, that
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answers the EPR paradox. But instead of proving the thing here, I've decided to push that
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to the next video, and instead just tell you the result and explain what it actually means.
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That's because this is the most misunderstood theorem of science that I know of. I have
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heard it claimed by so many sources, from popular books, to lecturers, to serious research
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papers that Bell's theorem proves quantum mechanics is right Let's see if that's true
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We've already seen that quantum mechanics has a few disturbing aspects. I'd argue that
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a lot that comes done to one statement in quantum mechanics, the superposition principle;
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that is that if we have a particle that could be in several possible states at a certain
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time and we can't tell which one its in, it's in all those states at once. That means that
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while we have our backs turned, things act way differently to how they act when we're
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looking. But do we have to really believe that? I mean, we can never, by definition
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actually catch the objects in the act. The EPR paradox tried to prove that superposition
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is wrong.
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I won't go through the EPR argument in detail again because you can just watch that video
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once more if you need a refresher
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Remember for the EPR video, we had our two entangled objects and we knew one was red
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and other white, but we didn't know which was which. Quantum Mechanics insists that
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all possible things happen so each particle is both red and white. But if we open one
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box and the object is white, then when we open the other we must have the red one. The
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only way is if, somehow or another, the particles can talk to each other.
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We'll call any theory where entangled particles are able to communicate while they're separated
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like this, a theory with "talking particles"
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But the EPR argument then showed that
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If a theory has talking particles, then those messages go faster than light.
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So what does this mean? If Einstein and the majority of physicists
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at the time where right and nothing can ever faster then light, then EPR tells us that
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all theories with talking particles are wrong. That includes quantum mechanics.
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If nothing truly can go faster than light, how can we explain the fact that entangled
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particles always have opposite colours to each other? They can't talk talk to each other
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while they're seperated as EPR shows, so they must decide which colours to be while they're
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still together. That means that instead of acting all crazy and going into superpositions
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while they're behind our backs, they instead act pretty normal with just one colour. SO
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you see, if nothing can go faster than the speed of light, not only is Quantum mechanics
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done for, we can go back to believing the world isn't doing such crazy things while
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we're not looking. I.e if particle's can't talk faster than light,
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then superposition is wrong.
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What about the other possibility? What if entangled particles do talk faster than light
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to each other? This is where lots of people get it wrong so I urge you to be careful.
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if entangled particles do talk faster than light that doesn't necessarily imply superposition
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is right.
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That would be like saying If an animal is a raven it is black
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Means that If an animal isn't a raven then its not black.
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That's clearly not true. If an animal isn't a raven, all you can say is that its not raven,
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you can't infer anything about its colour. In the same way, if particles talk faster
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than light, all you can say is, they do talk faster than light.
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SO finally we get to the point. What is Bell's theorem. Bell came up with an experiment that
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would give different results in a world where particles can talk faster than light and one
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where they can't. This got people really excited because there was a chance to disprove quantum
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mechanics. 15 years later, people finally came up with the technology to do the experiment.
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There result? Particles do actually do talk faster than light. Quantum mechanics survived.
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But like I said before, this doesn't prove Quantum mechanics is right, only that it isn't
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wrong in this way.
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This brings up a lot questions. Firstly, what about relativity? Remember I told you that
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the biggest assumption in relativity is that nothing goes faster than light, but apparently
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that's not true! I don't know enough relativity to teach it to you, but in relativity, if
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it's possible for Alice to send Bob a message faster than light, all kinds of crazy stuff
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can happen. For example, to some people it will look like Bob gets Alice's message before
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she sends it. It's even possible for him to reply before she sends it- but then -what
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if she decided not to send her original message afterall?
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That is an aweful logical mess. So what's the solution? Physicists say that they have
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come up with it. They claim that it's impossible to manipulate our entangled talking particles
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to send the messages we want. This is called the No Communication theorem. I don't know
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if we should just trust though, so we'll have a closer look at it later.
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Another question is that, sure, this experiment doesn't prove that superposition is true,
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but is it really possible to explain all the weird experiments we've been talking about
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with out it? Turns out it might be. There is at least one very promising alternative
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to quantum mechanics that does have talking particles so it's not ruled out, but doesn't
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have superposition. It's called Bohmian Mechanics, and I might make a video about it cos it's
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pretty amazing.
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So that's the end of this video but if you want to see how Bell's theorem proves that
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particles can talk faster than light, then I will be putting up videos about that. They'll
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be one to explain something called Spin and then the actual proof. If you don't know too
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much about spin, you should watch that one first.