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Wondrous Wednesday 02: Double Slit Experiment and Pilot Wave Theory

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Summary

Explores the double slit experiment and wave-particle duality. Introduces Bohmian Mechanics (Pilot Wave Theory) as explanation. Discusses high-dimensional wave space and quantum entanglement.

Transcript

0:00 Welcome to ANI In The Air, Wondrous Wednesdays, where I talk about something wondrous.
0:08 Last week, I mentioned the double slit experiment, where, with two slits, and you're sending, say, photons through them,
0:19 and when you have just one slit open, it just looks like they just go through the slit,
0:24 and they pile up, just as one might expect, like if you were just shooting something through a slit.
0:31 Then there's the two slit situation, where when you have two slits open, and you get this interference pattern,
0:39 so things are not building up, like with two slits open, you might expect kind of two kind of bell curve kind of things,
0:47 where they're just piling up, and instead you get sort of lots of interference, different waves of light and darkness there.
0:59 And then, the slightly more mysterious part is, if you try to put a detector in front of the slits, or behind the slits I guess,
1:09 to say which slit, you know, the photon went through, all of a sudden the interference pattern disappears.
1:18 So, and then you also have the really telltale sign of it, which is when you dial down the intensity of the photons,
1:32 so that's just basically a single photon going one at a time, then you see the interference pattern
1:42 being built up over time out of the different hits by the particles.
1:46 So, standard physics would say, okay, so what you have is a particle that's both a, well, a thing,
1:54 which is both a wave and a particle, and depending on what you're looking at, it'll be either a wave or a particle.
2:00 The Devil's Slit experiment kind of shows that that's kind of a silly notion,
2:05 because in the very same experiment, you see wave behavior coming from these particles that are hitting the screen.
2:14 So you get both particle and wave behavior at the same time, and that suggests a particle and a wave,
2:20 which in fact is quite possible.
2:22 The theory is called Bohmian Mechanics, or Pilot Wave Theory,
2:26 and the basic idea is that the particles are being guided by a wave,
2:32 and that's why you see the interference pattern.
2:35 Now, this is a pretty simple idea.
2:37 You'd be like, well, why didn't physicists think about it?
2:39 Well, some did, but, and it came at a time when, you know, the philosophy of many of these scientists were,
2:49 well, a little bit, you know, well, they were called positivists.
2:55 They sort of, you know, only wanted to talk about the things that were in experiments and nothing else.
3:03 So, which is, you know, not totally unreasonable, except you rapidly get to the question of, well, what's an experiment?
3:12 And then it all falls apart.
3:14 But the thing that really is problematic for physicists even today about this theory is that the wave is not a wave in three-dimensional space.
3:31 It's not, so one pattern, one idea is you've got, you know, just like a kind of an invisible ocean,
3:42 your particles are floating along it and that's why you have waves.
3:46 That's not what's true.
3:49 What is true is you have this wave that is a wave in a very high-dimensional space.
3:58 The dimension is three times n, where n is the number of particles in the universe.
4:05 In an experiment, we can reduce it to n being the number of particles involved in the experiment, except that,
4:14 and this is where the role of experiment comes in, the environment around it is very important for understanding this.
4:21 And this is where the, you know, detecting which slit the particle went through, where that comes about.
4:28 Basically, as soon as the environment knows which slit it is, then in this higher-dimensional space,
4:38 the two waves corresponding to the wave going through the two slits, they separate in this high-dimensional space,
4:48 and so now you no longer have interference.
4:51 And so that's really kind of the key idea.
4:54 Now, what's really wondrous about this, and why physicists don't like it at all,
5:01 is that it's basically entangling the entire configuration of the universe together.
5:14 Like, technically, you can't predict anything without knowing where all the particles are at this instant.
5:22 That in itself is problematical, but when you couple it with relativity, now we get into some problems.
5:28 So, I think next time I'll talk a little bit about relativity, what it says about the notion of now.
5:38 Basically, it says there is no now. I'll just spoil that for you.
5:42 And then, probably in the following week, I'll talk about how quantum mechanics says there is a now.
5:49 And so we have these two really foundational pillars of physics, both of which have been verified to tremendous accuracy.
5:58 One saying there is no now, and the other one saying there has to be a now.
6:04 And so that's really kind of a really interesting thing that needs to still get resolved, and it's not resolved yet where that lies.
6:12 So, I hope you enjoy this little bit of wonder, and talk to you next week.