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  • 00:00

    Okay this video is on the interpretations of quantum physics, which… I’ve been down

  • 00:07

    a little bit of a rabbit hole over the last couple of months if I’m honest, because

  • 00:12

    the interpretations of quantum physics aren’t easy to understand. And I thought, hey I’ll

  • 00:18

    do a video on those that’ll be fun! And then I did my research and looked into it,

  • 00:24

    and kind of, by brain melted. Anyway this is my best effort at the interpretations of

  • 00:30

    quantum physics I hope you enjoy. So what are they? Well first of all there is a hole

  • 00:38

    in the bottom of physics when you are down at the level of atoms or subatomic particles,

  • 00:45

    you are in the realm of quantum physics and there are some things in quantum physics that

  • 00:49

    simply don’t make sense. Physicists don’t like things not making sense and so the interpretations

  • 00:56

    of quantum physics are an attempt of many different physicists to come up with ways

  • 01:01

    of making quantum physics make sense. Now if you are not familiar with the terminology

  • 01:07

    of quantum physics I recommend you watch my last video because it is kind of an introduction

  • 01:12

    to quantum physics and this video is a sort of part two to that. So interpretation number

  • 01:19

    one is the Copenhagen interpretation and that’s kind of the standard way we are taught quantum

  • 01:25

    physics when we learn it in University and it is also kind of the place where I can illustrate

  • 01:31

    where some of the problems start happening. So the Copenhagen interpretation, the standard

  • 01:36

    description is that subatomic particles, like and electron, is described by a wave function

  • 01:42

    and this wave function obeys the Schrödinger equation, which tells us how that wave sort

  • 01:47

    of smoothly evolves over time. And features of this wave gives us all of the properties

  • 01:53

    of of quantum physics that people talk about like superposition, entanglement, energy quantisation,

  • 01:59

    decoherence and quantum tunnelling, all of those things are phenomena that appear because

  • 02:04

    of the wave-like nature of subatomic particles. So the conceptual problems begin when we do

  • 02:10

    a measurement on these waves. So the Copenhagen picture of quantum physics is that you have

  • 02:15

    a wave function moving along smoothly according to the Schrödinger equation until it hits

  • 02:21

    an object like a detector. And then what we see, what we measure as a human, is a single

  • 02:28

    particle in a specific position, which means that the wave function which is like spread

  • 02:35

    out over space, when it hits the detector, it suddenly collapses, it is called localisation.

  • 02:41

    So the wave localises, from a spread out wave, to a very sharply defined wave where we see

  • 02:49

    the particle. The trouble is, is there’s no actual physics in quantum mechanics that

  • 02:57

    describes how that collapse happens, and this is known as the measurement problem. So this

  • 03:04

    measurement is sort of a barrier, which shields the quantum realm. We can never see those

  • 03:11

    wave functions, all we can ever see are particles. And in the Copenhagen interpretation of quantum

  • 03:17

    physics what they say is like, us humans, we’ll never see those waves, there’s nothing

  • 03:22

    we can do to access that realm, so don’t worry wondering whether they are real or not

  • 03:27

    real, the important thing are the measurements. Reality is in the observations. Which is why

  • 03:33

    it has been termed the shut up and calculate interpretation of quantum physics. But people

  • 03:38

    have not stopped there they don’t like this discontinuous collapse of the wave function,

  • 03:43

    so they’ve come up with other ways of trying to interpret what is going on. And this brings

  • 03:47

    us to the second interpretation that I’m going to cover which is the many worlds interpretation

  • 03:51

    of quantum physics. So the many worlds interpretation of quantum physics takes the wave function

  • 03:58

    to be physically real and says if the Schrödinger equation is just a description of reality,

  • 04:05

    what does reality look like? So what it says is that when you do a measurement on particle

  • 04:10

    that is in a superposition of many different places at once, actually that particle turn

  • 04:16

    up at all those different places, just in different versions of reality. Another way

  • 04:25

    to think of it is if a particle is in a superposition of two places at once, and it hits a detector,

  • 04:32

    it now puts that detector in a superposition of measuring a particle in once place or another,

  • 04:37

    and if you look at the results from that detector then it puts you in a superposition of seeing

  • 04:43

    the particle in one place, or seeing the particle in another place, but because the results

  • 04:47

    of one place or another are mutually exclusive it means that now your universe between the

  • 04:53

    two you’s has decohered from each other and are now split into different branches.

  • 04:59

    So a superposition is described by a wave function, so really there’s just one giant

  • 05:05

    mega wave function that describes all of the possibilities that could ever have happened

  • 05:09

    in the entire history of Universe. So if there is an interpretation of quantum physics that

  • 05:16

    you have heard about it’ll be this one, the many worlds interpretation because it

  • 05:19

    seems to capture public consciousness, and I think it is because people like the idea

  • 05:25

    that if you’ve made like a really bad decision that you regret in the past, you can kind

  • 05:30

    of take comfort in the belief that there is another universe out there where you made

  • 05:35

    a better decision and so there is a version of you who’s happy right now. It also seems

  • 05:40

    to be a really useful storytelling technique in films that want to have different sort

  • 05:45

    of realities, like it was just in the Spider-Man into the spider verse for the different kinds

  • 05:50

    of, well I shouldn’t ruin the plot, anyway it was a good film. It also seems to be pretty

  • 05:55

    popular amongst physicists, although I’m not such a huge fan of it because one of the

  • 06:00

    problems is it breaks probability. So imagine if you’ve got a particle that’s in a thirty

  • 06:07

    percent probability of being here, and a seventy percent probability of being here, when it

  • 06:13

    hits the detector it splits into two universes where it definitely is, with a hundred percent

  • 06:21

    probability it is in one place and a hundred percent probability it’s in the other place

  • 06:25

    so if everything all happens what do those original probabilities actually mean? This

  • 06:31

    problem is addresses in an interpretation called the cosmological interpretation which

  • 06:37

    says that the many worlds theory is trivially true if the Universe is infinitely big, because

  • 06:45

    there is an infinite number of you’s doing that experiment, and that infinite number

  • 06:50

    just splits in proportion, so thirty percent of those infinite you’s will see one thing

  • 06:56

    and seventy percent of those infinite you’s will see the other thing. Unfortunately there’s

  • 07:01

    no experiments that we can run to see if this interpretation is more valid than the Copenhagen

  • 07:07

    interpretation, and that’s actually a general feature of all of these interpretations is

  • 07:11

    that we can’t pick them apart with any experiments and so until we have experiments it’s all

  • 07:16

    kind of like physics-y story telling. Lets now look at another aspect of quantum physics

  • 07:23

    that doesn’t quite make sense to us which is called non-locality, otherwise known as

  • 07:27

    spooky action at a distance. And this can be summarised by the EPR experiment which

  • 07:33

    is where you take two particles, say electrons, and you entangle them together to have equal

  • 07:38

    and opposite spins say, and then you separate them by a very very large distance because

  • 07:46

    they are now inextricably linked the wave function that describes them has to describe

  • 07:51

    both particles and what this means in reality is when you do a measurement on one of these

  • 07:58

    particles it instantaneously influences the other one, which can be you know billions

  • 08:03

    of miles away, and it does that instantaneously. So it sort of feels like faster than light

  • 08:10

    action. That’s the action at a distance which Einstein was really creeped out by.

  • 08:16

    So non-locality mean that one electron, its properties are not local to its physical place.

  • 08:25

    Its properties are dependent on something very very far away and this is an alien concept

  • 08:30

    in physics because if I throw a ball the balls position or velocity or colour or anything

  • 08:37

    physical to do with that ball they’re all localised to where that ball physically is,

  • 08:42

    whereas in quantum physics you can have things that are non-local. And that seems weird to

  • 08:48

    a physicist, because you are like ‘all physics is like this, except for this one bit here

  • 08:53

    in quantum physics’. So this has spawned other interpretations of quantum physics that

  • 08:59

    try and explain away this one, and one of these is called hidden variable theories.

  • 09:04

    So the idea in a hidden variable theory is that when you do this entanglement there’s

  • 09:09

    some secret label which captures the actual state of these two particles so it’s like

  • 09:17

    if I flip a coin and I hold it in my hands, even though I don’t know whether it’s

  • 09:23

    heads or tails, the coin actually is heads or tails when its in my hand, and I just reveal

  • 09:29

    it when I open up my hands. So that’s kind of what these hidden variable theories are

  • 09:34

    like, the particles are in a definite position we just don’t know what it is until we measure

  • 09:40

    it. Now this interpretation was actually killed by an experiment called Bell’s theorem.

  • 09:45

    I’m not going to go into the details of this because I don’t have time. But basically

  • 09:50

    the hidden variable theory and quantum physics predict different probabilities of you observing

  • 09:56

    certain things under Bell’s experiment. And when they did the experiment, they actually

  • 10:01

    found the results matched quantum physics and not hidden variable theories, so hidden

  • 10:07

    variables are out. Now it is not completely game over for the hidden variable theories

  • 10:12

    because Bell’s theorem is built on some axioms, some things that you assume to to

  • 10:19

    be true, and one of these is locality. And so you can have a successful non-local hidden

  • 10:28

    variable theory, also known as Bohmian mechanics also known as pilot wave theory. Now the idea

  • 10:35

    in this interpretation is that the particles are always real, but they are kind of surfing

  • 10:40

    about on an underlying wave, and so when you see the probability of particles appearing

  • 10:47

    in different places it’s because they have been nudged in different directions by this

  • 10:50

    underlying wave. But still we can’t see those waves. And the advantage of this is

  • 10:57

    that it kind of returns quantum physics to a sort of determinism, which none of the interpretations

  • 11:04

    of quantum physics do. But the trouble again is there’s no testable hypotheses so there

  • 11:09

    is no way of us doing an experiment to see if it is true. So another thread in the interpretations

  • 11:15

    of quantum physics is to instead focus on the collapse of the wave function, and try

  • 11:20

    and make that bit make sense. So there are interpretations called alternative collapse

  • 11:25

    theories that try and add some extra physics in to that collapse that either explain why

  • 11:30

    it happens or add some, describe the dynamics of how exactly the wave function localises.

  • 11:38

    One idea called spontaneous collapse theory is that the wave function has got a probability

  • 11:44

    of collapsing at any time a bit like radioactive decay. So for a small particle there is a

  • 11:50

    very low probability that its wave function collapses, maybe like once in a hundred million

  • 11:54

    years. Whereas for big groups of particles together in something like a football there

  • 12:00

    would be way more collapses because if any one those collapses, it has a knock on effect

  • 12:06

    to collapse the wave functions of all the others. And so there would be maybe a hundred

  • 12:11

    million collapses per second which kind of goes some way to describe why the world we

  • 12:16

    experience is all kind of solid and deterministic, and the quantum realm isn’t, so it describes

  • 12:23

    kind of the boundary between those two things. And the advantage of this interpretation is

  • 12:28

    it’s actually making a testable prediction. And so at some stage in the future we could

  • 12:32

    design an experiment that could maybe see if it is true or not. So, you know, it doesn’t

  • 12:37

    say that it is any more likely to be true than any of the others but at least it has

  • 12:40

    got a testable prediction which, as an experimental physicist, I like! So those are the main interpretations

  • 12:46

    of quantum physics but there’s many many more, I’m just going to cover a few more

  • 12:50

    here. But this isn’t an exhaustive list. Also, word of warning, this is where I started

  • 12:56

    to get really rather confused, so lets proceed with some amount of caution. First up is quantum

  • 13:04

    Bayesianism also known as Qbism, which takes the ideas of Bayesian probability and applies

  • 13:12

    it to quantum physics so it’s sort of like an informational theory of quantum physics.

  • 13:19

    And the idea as I understand it is that when you get new information about a state it updates

  • 13:25

    the probabilities of the things that you will measure. The consistent histories interpretation

  • 13:31

    of quantum physics apparently the mathematics is somewhat of a hybrid between hidden variable

  • 13:36

    theories and spontaneous collapse theories. It includes spontaneous collapses of the wave

  • 13:42

    function, but different aspects, not just just position can collapse. It also says that

  • 13:46

    those collapses are not physical events but just a way of you picking through a history

  • 13:53

    of that quantum object that makes sense, that’s consistent. The next one is quantum Darwinism,

  • 14:01

    which is where, when the quantum system interacts with the environment certain things are killed

  • 14:06

    off. So interactions between particles and the environment are kind of like natural selection

  • 14:11

    for the properties of that quantum object. Another interpretation is called the transactional

  • 14:17

    interpretation which, in the actual mathematics of quantum physics it allows solutions that

  • 14:22

    travel backwards in time as well as forwards in time, but we normally just throw away the

  • 14:27

    backwards in time ones, because you know you’re not going to travel backwards in time. But

  • 14:31

    like, I don’t know, maybe you can. So that’s what the transactional interpretation, it

  • 14:35

    keeps those and says that the properties that you have maybe are dependent on things that

  • 14:42

    happen to you in the future. And this is attractive because it can actually get around Bell’s

  • 14:48

    theorem. Another one is called the relational interpretation which doesn’t focus on the

  • 14:53

    properties of quantum objects but everything is defined by the relationships between them.

  • 15:00

    So those are the main interpretations of quantum physics there’s a few others but those are

  • 15:04

    the main ones. I sometimes get asked what is my favourite interpretation and I don’t

  • 15:09

    really have one. My thoughts about this are: because there’s so many different interpretations

  • 15:15

    of quantum physics it’s kind of a sign that we might be missing something kind of fundamental,

  • 15:21

    so maybe one way to attack this problem is to really go back to first principles and

  • 15:28

    back to the fundamental assumptions of quantum physics because there’s some interesting

  • 15:33

    assumptions that were made like when you have a wave function which predicts probabilities

  • 15:38

    of things happening that was just a guess, and it works really really well, but there

  • 15:45

    was no real reason for that other than nice guess work. So, yeah quantum physics is going

  • 15:55

    to… Well that’s the end. Thanks for sticking through all of that. I hope it was of interest.

  • 16:05

    I think you’ve earned yourself a nice sit down and maybe even a biscuit, so thanks for

  • 16:11

    watching and thanks also to the sponsor of this video: Skillshare. I always get loads

  • 16:16

    of comments asking me how I produce my videos, and what software I use and the truth is,

  • 16:21

    it’s a combination of all the Adobe software: Illustrator, Photoshop, After Effects and

  • 16:26

    Premiere. And Skillshare is a fantastic website if you want to learn any of these programs

  • 16:30

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    film production. Their premium subscription service unlocks all of these lessons which

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    are delivered by trained professionals in their fields. But if you want to get a head

  • 16:49

    start you can get a two month free trial for the first five hundred people to click on

  • 16:53

    this link. The link is also in the description below. Well that’s it from me, thanks for

  • 17:00

    watching and I’ll see you next time.

All

The example sentences of TRIVIALLY in videos (3 in total of 3)

in preposition or subordinating conjunction the determiner past noun, singular or mass , the determiner bsod proper noun, singular could modal appear verb, base form trivially adverb as preposition or subordinating conjunction a determiner result noun, singular or mass of preposition or subordinating conjunction the determiner operation noun, singular or mass to to remove verb, base form the determiner cd proper noun, singular while preposition or subordinating conjunction reading verb, gerund or present participle it personal pronoun .
says verb, 3rd person singular present that preposition or subordinating conjunction the determiner many adjective worlds noun, plural theory noun, singular or mass is verb, 3rd person singular present trivially adverb true adjective if preposition or subordinating conjunction the determiner universe proper noun, singular is verb, 3rd person singular present infinitely adverb big adjective , because preposition or subordinating conjunction
from preposition or subordinating conjunction there adverb , it personal pronoun s proper noun, singular trivially adverb easy adjective for preposition or subordinating conjunction google proper noun, singular to to link verb, base form your possessive pronoun search noun, singular or mass history noun, singular or mass to to your possessive pronoun phone noun, singular or mass number noun, singular or mass .

Use "trivially" in a sentence | "trivially" example sentences

How to use "trivially" in a sentence?

  • There is something distinguished about even his failures; they sink not trivially, but with a certain air of majesty, like a great ship, its flags flying, full of holes.
    -George Jean Nathan-
  • The Web is trivially simple - massively successful and its like Karaoke - anybody can do it.
    -Ted Nelson-
  • Here is something Category-Theorists like: it is trivial, but not trivially trivial.
    -Timothy Gowers-
  • The influence of mankind on climate is trivially true and numerically insignificant.
    -Richard Lindzen-

Definition and meaning of TRIVIALLY

What does "trivially mean?"

adverb
In a wasteful, unimportant manner.