Poppro
Poppro
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What is the Hopf Fibration?
In this video I shed some light on a heavily alluded to and poorly explained object, the Hopf Fibration. The Hopf Fibration commonly shows up in discussions surrounding gauge theories and fundamental physics, though its construction is not so mysterious.
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Відео

My Computer Taught Itself to Play Minecraft
Переглядів 1 млн3 роки тому
Hey everyone! This video is the culmination of around 2 years of off/on work on a project to see if a neural network AI could figure out how to mine ores in Minecraft. The main goal of the project was to just write all of the code from the ground up and see what the network would be capable of. Overall, I'm happy with what was accomplished and in many ways it exceeded my expectations. I plan on...

КОМЕНТАРІ

  • @elinope4745
    @elinope4745 4 місяці тому

    It's the symmetry of the strong force radiating outward into the nuclear force which decays into the weak force and through it into electromagnetic polarity. This is how you go from tri-polarity and higher dimensional tiny space (subspace manifolds?) into binary polarity into the three dimensional space that you are familiar with. Location means different things in different frames of these concepts. This is the fundamental shape of space itself. This is the fundamental shape of diffusion of energy. Space is a consequence of diffusion of energy. Time is a consequence of diffusion of space.

  • @chevasit
    @chevasit 7 місяців тому

    Good 👍

  • @Dyslexic-Artist-Theory-on-Time
    @Dyslexic-Artist-Theory-on-Time 7 місяців тому

    We need to go back to r² and the three-dimensional physics of the Inverse Square Law. The spherical 4πr² geometry is key to this concept, based on Huygens' Principle from 1670, which states, "Every point on a wave front of light has the potential to create a new spherical 4πr² light wave." Each point can be considered a potential photon ∆E=hf electron interaction exchanging potential photon energy into the kinetic Eₖ=½mv² energy of matter in the form of electrons e². We experienced this as a continuously emerging probabilistic future with the spherical 4πr² surface acting as a boundary condition or manifold for the uncertainty ∆x∆pᵪ≥h/4π encountered in daily life.

  • @theoriginaltimetraveller7597
    @theoriginaltimetraveller7597 8 місяців тому

    Are you the guy that explained physics on a video as a kid? You sound alike. Great video btw

  • @theostillplays
    @theostillplays 8 місяців тому

    Tried repeating this, got both of the files installed but can't figure out how to actually start it

  • @MargotDobbie
    @MargotDobbie 10 місяців тому

    Imagine thinking you're smarter than Weistein.... Curb that ego. It's explained the way it is because it's hardly easy to conceptualise for a lay person.

  • @jackbayer7975
    @jackbayer7975 10 місяців тому

    Hi Poppro. This is amazing!! Im curious, are you now an ML engineer in industry? if so would you mind sharing some tips for a computer science student who really wants to get involved in machine learning and build a career designing and/or training models? Thanks for your time!

  • @HedgeHogMan650
    @HedgeHogMan650 11 місяців тому

    do we not use backpropagation anymore?

  • @jokehuang1611
    @jokehuang1611 11 місяців тому

    Could you share your Minecraft mod? It seems able to control the game character by code/API, rather than simulate mouse & keyboard input.

  • @HariNedelchevIsCool
    @HariNedelchevIsCool 11 місяців тому

    One day the ai will speed run and play minecraft all by itself from setting a random seed and making a name for the world, getting diamonds and netherite, starting a server for other ai models and showing off builds it has made and even become a UA-camr making minecraft videos.

  • @ABbostwick
    @ABbostwick Рік тому

    Please make more!

  • @redthunder6183
    @redthunder6183 Рік тому

    Are you using any back propagation algorithm or is it entirely randomization based?

  • @Ullas318
    @Ullas318 Рік тому

    Like me pls

  • @ncgamervt
    @ncgamervt Рік тому

    Can you teach a AI how to play the tower defense game?

  • @zh9664
    @zh9664 Рік тому

    bro did all this but couldn't work out how to go into spectator mode to watch them in game lmao

  • @jadynworld2428
    @jadynworld2428 Рік тому

    They broke the number one rule of minecraft

  • @abbie-4pple
    @abbie-4pple Рік тому

    Why gives them a diamond pickaxe instead make them punches tree, craft tool, survive, eats, fighting, killing mobs, mining and ends the game?

  • @nedo3054
    @nedo3054 Рік тому

    Can you tell me how much GPU and time it took to train?

  • @SeedsofJoy
    @SeedsofJoy Рік тому

    yeah i didnt understand any of that lol

  • @cparks1000000
    @cparks1000000 Рік тому

    The equation isn't very enlightening. I'd like to see some annotations. If I recall correctly, the fibers are torii when extended to R^4. It would be interesting to see the visual intuition for this.

  • @collinsmcrae
    @collinsmcrae Рік тому

    So why is it such a profound object? It just seems like a fun math exercise. How does it teach scientists anything importantt about our natural world?

  • @jordanlesson4893
    @jordanlesson4893 Рік тому

    Cool video. Didn't understand a thing because you were explaining variables so maybe just do it without math

  • @Krgpt99
    @Krgpt99 Рік тому

    this naruto kage bunshin training in minecraft

  • @danaperko2981
    @danaperko2981 Рік тому

    Ok, non-physicist here. I’ve watched several of Weinstein videos and listened to several on the “the Portal”. My take, Weinstein is really “fighting” with the String Theory people. Back to Hope Fibration. So knowing all of the formulas “map” correctly between 4 and 3 dimensions, this appears to makes Mathematicians sleep better at night. My question is by knowing about the HF, does it change anything in the world? Are people smarter and better off knowing about the HF? Or is it really just some kind of “inside baseball” academic exercise?

  • @GeometricalGames
    @GeometricalGames Рік тому

    1111 th comment

  • @hoopla175
    @hoopla175 Рік тому

    Good video, but why the hate for Weinstein?

  • @talkingobserverward6114
    @talkingobserverward6114 Рік тому

    After seeing how bots dig down and explore the core game mechanics, I suddenly remembered how I play my first hour ten years ago. It's a nice and strange feeling at the same time.

  • @3zdayz
    @3zdayz Рік тому

    I have vibration is just a rotation rotated by a rotation rotated by a rotation and then showing the resulting point. Rotation vectors in three coordinates XYZ are really where this takes place. There isn't really anything four-dimensional about it. This was a very simple demo to throw together once I actually got the rotations working. And a rotation is just axis angle.,. Which the angle is just the length of the 3D vector and the axis is the direction of the vector.

    • @3zdayz
      @3zdayz Рік тому

      It's not four dimensional anymore than representing a velocity as the three-dimensional vector and then decomposing that into speed and direction makes the velocity of four-dimensional vector

  • @mnrvaprjct
    @mnrvaprjct Рік тому

    Conversely, you could do this with XYZW(R4) to (XYZ)(R3) - I specify this merely because I dislike using time as a fourth dimension, because it technically isn’t. Wonderful video though

  • @guidosalescalvano9862
    @guidosalescalvano9862 Рік тому

    So why is this even remotely useful?

  • @chrisleon27
    @chrisleon27 Рік тому

    Finally I got some sense of this concept

  • @danburonline
    @danburonline Рік тому

    Tip: Since your video content is highly dependent on the correct way of saying things I highly recommend a tool like Descript for text-like editing of your voiceovers. I think Adobe Audition has something similar, not sure. Nonetheless: great content!

  • @magicfigures
    @magicfigures Рік тому

    Look please very nice animation of big magic squares on torus for big numbers - such homepage under number-galaxy eu.

  • @Chaosdude341
    @Chaosdude341 Рік тому

    Thank you! This helped a lot.

  • @Danyel615
    @Danyel615 Рік тому

    Anyone know on which software was that picture made'?

  • @tobiasrinnert5044
    @tobiasrinnert5044 Рік тому

    Is anyone else getting black hole vibes from these visualizations?

  • @The.Golden.Door.
    @The.Golden.Door. Рік тому

    A Sphere projected on a hyper sphere projected on a 2 dimensional surface

  • @kjsonn
    @kjsonn Рік тому

    here before 1 mil views

  • @christopherross8358
    @christopherross8358 Рік тому

    Weinstein is pretty nervous about this polygon... Is this a possible pocket dimension? 🧃

  • @Ri5olu
    @Ri5olu Рік тому

    1000 views off a million! Clicked on this video to 'help'.

  • @FrankStein-y1r
    @FrankStein-y1r Рік тому

    This was a clear exposition about the projection of an imaginary object consisting of elements created by unknown virtual reasons existing in a virtual dimension explained to 70% in abstract languages unknown to most but called topology, mathematics, holography & academic "Hold my Smoothie" gibberish...

  • @TheJara123
    @TheJara123 Рік тому

    Where are you man?. superb presentation...like a teaser!! please bring the real meat...!!

  • @escher4401
    @escher4401 Рік тому

    The equation seems suspiciously simmilar to the one that finda pythagoric triples

  • @Bea_remembrance
    @Bea_remembrance Рік тому

    Well explained

  • @neilsheiselt2819
    @neilsheiselt2819 Рік тому

    Thank you for including weights in your explanation of neural networks! I've seen a few videos on this subject, and you're the first person I've seen to actually include them in the explaination

  • @HeyGuysWelcomeBackTo
    @HeyGuysWelcomeBackTo Рік тому

    when does the pc learn how to play minercaft 7 minutes of nonsense

  • @saiham4500
    @saiham4500 Рік тому

    12:00 ai dancing bot

  • @evieyorisou2586
    @evieyorisou2586 Рік тому

    hey @Poppro do you have a business email?

  • @joshnelson8016
    @joshnelson8016 Рік тому

    You explained how it’s mapped, but not why the hopf sphere is significant or matters… I gained nothing new from this video than I gained from the other videos you teased in the opening.

  • @andrewphoenix3609
    @andrewphoenix3609 Рік тому

    But what does it tell us? Z1, z2 what are they?

    • @wugionyoutube
      @wugionyoutube Рік тому

      They are two complex numbers whose 4 real constituents can be used as coordinates for the 3-sphere. The unit 3-sphere is then described by |z1|**2 + |z2|**2=1. But so-called Clifford tori can also be described, and yet as a family generating the very 3-sphere: |z1|**2=0.5+s and |z2|**2=0.5-s describes a Clifford torus (a 4D surface) for each s between -1/2 and +1/2, and the whole family, over the whole range of s, generates the whole 3-sphere (a 3D manifold "filled" by these tori). Keeping z1 constant and letting |z2|**2=0.5-s, describes one circle of some Clifford torus: a Villarceau circle. Doing this for all valid values of z1 generates all Clifford tori and thus the whole 3-sphere. (By switching roles of z1 and z2 a twin family of circles is obtained). Villarceau circles don't intersect each other. That's what is meant by them constituing a "fibration", like a set of "fibres" generating a wire, or a strand of wires, or a compound of strands, or... Clifford tori and their 3-sphere. See my video "Wugi's 4D world- The 3-sphere and its bestiary- Part 3: the Hopf fibration": ua-cam.com/video/5rdYjgqUoDM/v-deo.html perhaps after watching parts 1 (Clifford torus) and 2 (stereographic projection and Dupin cyclides) on my channel.