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Poppro
United States
Приєднався 10 лют 2012
Curious!
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
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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...
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.
Good 👍
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.
Are you the guy that explained physics on a video as a kid? You sound alike. Great video btw
Tried repeating this, got both of the files installed but can't figure out how to actually start it
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.
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!
do we not use backpropagation anymore?
Could you share your Minecraft mod? It seems able to control the game character by code/API, rather than simulate mouse & keyboard input.
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.
Please make more!
Are you using any back propagation algorithm or is it entirely randomization based?
Like me pls
No 😮 OK I will like ❤
Can you teach a AI how to play the tower defense game?
bro did all this but couldn't work out how to go into spectator mode to watch them in game lmao
They broke the number one rule of minecraft
Why gives them a diamond pickaxe instead make them punches tree, craft tool, survive, eats, fighting, killing mobs, mining and ends the game?
Can you tell me how much GPU and time it took to train?
yeah i didnt understand any of that lol
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.
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?
Cool video. Didn't understand a thing because you were explaining variables so maybe just do it without math
this naruto kage bunshin training in minecraft
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?
1111 th comment
Good video, but why the hate for Weinstein?
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.
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.
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
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
So why is this even remotely useful?
Finally I got some sense of this concept
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!
Look please very nice animation of big magic squares on torus for big numbers - such homepage under number-galaxy eu.
Thank you! This helped a lot.
Anyone know on which software was that picture made'?
Is anyone else getting black hole vibes from these visualizations?
A Sphere projected on a hyper sphere projected on a 2 dimensional surface
here before 1 mil views
Weinstein is pretty nervous about this polygon... Is this a possible pocket dimension? 🧃
1000 views off a million! Clicked on this video to 'help'.
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...
Where are you man?. superb presentation...like a teaser!! please bring the real meat...!!
The equation seems suspiciously simmilar to the one that finda pythagoric triples
Well explained
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
when does the pc learn how to play minercaft 7 minutes of nonsense
12:00 ai dancing bot
hey @Poppro do you have a business email?
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.
But what does it tell us? Z1, z2 what are they?
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.