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Spherical portals, chat. If you have not been checking this guy out, this is definitely one you're going to want to watch. We're only going to watch a little bit of it. But, some probably Russian, you definitely Eastern European guy. Oh, man. OptoZorax, we're going to go with his name? OptoZorax. This guy's been messing around with portals. And a couple weeks ago, spherical portals explain dark energy. Well, this is relevant to our interest. We are all about trying to break space time. So, now that we've said we figured out how to break space time, let's look at what it would look like if we do break space time. Okay, we're only going to watch a couple clips. What do I got here for us? 7 minutes. Okay. Let's start. Somewhere around here. >> larger in the other. Just like we do, actually. And everything here is black. Because >> So, what this guy is doing, interestingly enough, this guy can make pocket dimensions by putting portals inside of other portals. And in addition to this, you can make the inside of your portal any size respective to the outside. Does this sound familiar? This is the exact claims of the UFO phenomenon. They say when you go inside the UFO, it's bigger on the inside than what it appears from the outside. And it turns out this is exactly explained by computer models that show real physics. Real physics. >> There is nothing else besides the object and us. Absolutely no access to the outside world. So, what is this repeating space we've ended up with? Remember, in this video I showed that if you place a small semicircular portal inside a big semicircular one, you get a pocket dimension. But, what if we close that portal while leaving the teleporting surface in place? Then, from the outside, we'll see the portal disappear, leaving empty space in its place. >> Did he just confirm the MH370 portal is exactly what would happen in real life? Yes, he did, chat. A spherical portal from viewed from the outside will just look like it just disappears out of nowhere. Let me just repeat that. Let's go back. He did the model for a real 3D spherical portal. >> get a pocket dimension. But, what if we close that portal while leaving the teleporting surface in place? Then, from the outside, we'll see the portal disappear, leaving empty space in its place. And from the inside, we'll see the window to the outside world close. But, the >> Boom, chat. Boom. There it is. We are looking at a real portal in the MH370 video. A spherical portal, maybe oblong, maybe uh ellipsoid, but you get the point. This is exactly what a real portal would look like. Now, the only difference is that they're not going to get trapped in a pocket dimension here. Why? Because it's not two portals, it's just one. So, what's going to happen is that portal's going to reappear somewhere else. It's going to dissipate, and they're just going to be in a different location. But, in theory, according to this video, they could have been trapped in a pocket dimension. If we can make portals inside of portals, you can be trapped in a pocket dimension. So, this this actually furthers the idea scientifically that we can trap people in time. We can freeze people in time. >> Portal surfaces remain with one inside the other. In other words, what's left is a pure pocket dimension with no way to get in. >> Okay, let's skip ahead a little bit. >> exactly what the small sphere inside the big one extension the surface of >> Now, this is really weird. This guy tested around with portals and he found out when you're messing around with portals inside of portals, you can arbitrarily change the boundary of the portal and it actually doesn't change any of the physics. Super weird. So, if he gets a situation where the portal is overlapping with the other portal, he can just stretch out the boundary and it doesn't actually change anything. >> The blue one >> I don't know why this is relevant. >> out again. We stretch the orange one once more and now we can stop. This is complicated, but at least we don't have to teleport portals through themselves. Still, these arbitrary shapes aren't very convenient either and there's an even simpler way. We just increase the radius of both spheres while preserving the proportions and that's it. So, for any position of the spherical portals, you can find a radius multiplier that keeps the spheres from intersecting. >> Look at this. >> And here is the next in >> Look how weird this is. This almost looks When I was watching this him go back and forth right here. It's a fractal. It's definitely a fractal and when he's expanding it and contracting he's just all he's doing is changing the size of the rings. It's the same as you moving forward or backward through the portal. Right? The dis The difference between moving forward towards an object or getting bigger or smaller, there's no difference from a perspective. And so, watch this. I'm going to play it again. I'm going to go back just a few seconds. Watch it go back and forth. It looks like you're moving through the portal. >> simpler way. We just increase the radius of both spheres while preserving the proportions. >> And then he makes it bigger or smaller, right? >> So, for any position of the spherical portals, you can find a radius multiplier that keeps the spheres from intersecting. And here is the most interesting >> I'm going, "Wait a minute. This must prove there's an extra dimension. This absolutely must prove there's an extra dimension. This guy is doing the math, and he's showing us the real-world physics that arises from the math. And spoiler alert, he concludes there must be an extra dimension. >> seen in 3D. Here, the rotation angle of one sphere relative to the other is exactly the golden angle, a bit over 137°, which produces this >> The golden ratio happens to be the perfect solution? Wow. Okay. >> Absolutely gorgeous fractal. Plants use this angle, and it is connected to the Fibonacci sequence. It is a beautiful scene, and >> I mean, chat, I'm convinced. I'm trying not to be a schitzo, but when I see an Eastern European dude do some portal with real physics engine, and then it comes out to be the exact golden ratio, you convinced me, bro. I don't know if you just did a magic trick, but you got me. I'm in. Son of a I'm in. >> You're probably wondering how I arranged the spheres to render it. The distance between the spheres is just 4 m, while their radii are about 140 and 141 km. >> Nope, there's more. Cuz he had to do more to make it work. When he tried to do the experiments >> This configuration >> just using standard mass, it doesn't work. There's only a few configurations in which it's stable. Can you Can you guess what he had to do, chat, to make it stable? >> tion. Here too, the object flies into itself at an angle. Everything compresses dangerously, but in the end it bounces off and the object stays alive. And if you want to play with this physics yourself and to wrap up and to wrap up, I'll explain how gravity works in this system. If we take two portal spheres and place at this circular mass between them, then its gravity looks like this. It remains unchanged if you scale the radii of the spheres in the same proportion, which obeys the axiom of portal surface irrele- >> So, this is pretty cool. He says, "We're putting this mass right here on the top. You can see the mass and we're going to look at the gravitational fields and we're looking at them right now. And if we change the size of the portal with the mass in it, there should be no change to the gravitational fields that we see. That's a requirement for the portal to work correctly." So, he says, "Okay, sweet." >> once. And here is what it looks like if we teleport the light. The large and small images have exactly the same mass as the original object. This is highly counterintuitive, but my finite element method outputs this solution right out of the box. And I haven't found any contradictions in it yet. But to make this kind of gravity work, we need to solve a lot of problems, which I will talk about next. The first problem is that the space is closed, which means gravity isn't constrained by boundary conditions. And if we just run the solver as is, it will grow infinitely and diverge. >> Chat, there's a problem. The gravity in the space is not confined. So, if we just let the gravity flow, kind of explodes and goes everywhere. So, it turns out we need to add something to this if we want this to actually work. I haven't seen anybody say it in the chat yet. You ready? Here we go. >> I already discussed this problem in my previous video, where I calculated gravity on a torus. And there we concluded that we need to calculate the area of the torus, then all the mass on it, and then add a uniform negative mass at EVERY >> BOOM! Negative energy. The only way to make it work is if we add uniform negative energy all around it. If we don't add uniform negative energy all around it, then it doesn't work at all. Do you know why I'm going boom? Cuz this proves negative energy is real, and it proves negative energy is in the energy in the fabric of space-time itself. That's the only way this makes sense is if the negative energy is the zero-point energy. The same exact way that I've been saying this zero-point energy, if we want to tap into the negative energy, we tap into the zero-point energy. Because it's all around us everywhere. That's exactly what he did to solve the wormhole. That's it. You're staring at it. It gets better. >> Good point. So, the total net mass equals zero. Let's try the same thing here. The area between the spheres equals P big R squared minus P small r squared. And there's one problem with it. If you rescale the sphere radii while keeping their ratio, this area changes. All right, I'll go ahead and place the negative mass between the spheres based on this area anyway. And we get this solution. I change the radii and yep, the gravity changes. >> So, here's the problem. If you just uniformly put the negative mass all over, it doesn't work. What the But wait, this is supposed to be the answer. Ashton, you promised me zero point energy was the answer to negative energy. But this guy just put the math in there and put the negative energy out there, and the gravity changes. That's not what's supposed to happen. So, this can't be correct. Oh, no, chat disaster. Chat again, I got to hang it up. I got to hang up my zero point energy influencer hat. Chat's all over. Wait a minute, is there more? Wait, is there more? Oh, let's let him keep going. Hold on. >> That violates our axiom, which means we are doing something wrong. The negative mass needs to be placed some other way. While solving this problem, I discovered one more interesting property of a spherical portal inside the portal. This point here, where everything in this system converges, is the fixed point of teleportation operation. That is the point that stays in place under teleportation. And it turns out that if you place the centers of the spheres at this fixed point, you get exactly the same recursive space as with the previous arrangement. In other words, the space formed by this arrangement of spheres and by this arrangement of spheres are equivalent. >> This I don't know what that means, but I think that means you can arbitrarily choose the center point of your portal and it doesn't actually matter. I haven't really been able to figure out what he just said right there though. >> This time the center of both spheres is located at the same point, which gives us more symmetry and room to maneuver. In this arrangement, solving the problem becomes much easier. >> Okay. >> First, no >> So, this goes a little bit over my head, but it's going to be worth it. So, I'm going to let this play out because the conclusion he reaches here is mind-blowing. Here you go. You ready? So, we have a problem with our negative energy. We have to we have to fix it somehow. >> that the distance between identical masses, while not constant, gets multiplied by the same factor each time. So, we need to place the negative mass so that it changes gradually from one mass to the next. State >> We have to place the negative mass so that it's in proportion with whatever ratio he just described. That's what we have to do. >> is symmetric and grows along with this distance and scale. I will reveal the trick right away. Initially, we are using Cartesian coordinates X and Y. We need to switch to polar coordinates, where the horizontal axis is the angle of rotation around the center. >> The horizontal axis is the angle of rotation around the center. We have to use polar coordinates. Now, the moment you do this, my mind immediately went, "Did you just add an extra dimension?" I think you did. Why else would you change it like that? We need spiral. We need spin. If we use spin and apply it and then distribute our negative energy, what do you guys think's going to happen? >> And the vertical axis is the distance to the center. You can see the picture starts repeating horizontally. >> Polar is sphere, exactly. So, if we take our if we take our two-dimensional model and we turn it into a three-dimensional model, we can solve the negative energy distribution. Huh, interesting. So, if we add an extra dimension, suddenly we can solve the negative energy distribution. >> Precisely because polar coordinates wrap around in a circle, there is nothing below because distance can't be negative. Next, we know that the distance between each sphere changes in a geometric progression. And this is where the logarithm function becomes extremely useful. It can turn multiplication into addition, which means the geometric progression turns into an arithmetic one. We apply the logarithm and see how these small spheres go infinitely far down while the top one become normal-sized instead of stretched out. We end up with a very evenly spaced grid that will be convenient to work from here on. I spent about 8 hours on these two animations. I think that deserves a lot about the Escher painting experiment. I changed the sphere radii and as we remember, the area changes with them. But in local polar coordinates, it just looks like a simple shift that preserves both distance and area. All thanks >> reason why Why did we shift to polar coordinates? Because we're trying to figure out the solution for where we have to distribute the negative energy in order to make it so that when we do this push and pull back and forth, the gravity doesn't change. We need the gravity to stay exactly the same. Why? Because we know portals obey this law where you can change their size and the gravity within will not adjust whatsoever. We know that to be true. So, since we know that to be true, we're just working backwards. He's working backwards and he's realizing, "Okay, if we use these polar coordinates, this will allow us to find the answer much easier because this now gives us a a scaling for like the back circle versus this front circle up here." Because now when we look at it from the way on the right, it makes a lot more sense. >> So, that same look >> all we have to do is we have to apply this equation and then this will tell us the math for how we apply the negative energy. That's what's going on here. >> Griefum, turning multiplication into addition. So, if we lay out uniform negative mass in these coordinates, it will always be the same regard >> So, he's saying we lay out the uniform negative mass based on the polar coordinates and then we apply the conversion of the polar coordinates back to our two-dimensional model and then the distribution of negative energy solves itself. Watch. >> regardless of the spheres' sizes. We place it uniformly here and then return to Cartesian coordinates. As for how this is implemented, every point gets an area density equal to 1 / the squared distance to the fixed point. >> And did you see that? So, we realized if we put it in these polar coordinates, change the dimensionality of it, we can solve the problem and then we just convert it back. And now we know how to distribute the negative energy all throughout our imagine imaginary hyper cylinder here. >> When we compute a triangle's area to decide how much mass to put on it, we have to multiply it by this density. After that, we run the gravity computation with the new negative mass. and >> Okay, so there's our gravity. So let's figure out what happens chat when we move when we change our size. >> The solution converges and for different radii it remains the same. Finally, gravity is solved now. By the way, look at the direction of gravity. It is directed as if it goes around other sources of mass. That looks pretty strange in Cartesian coordinates, but in log-polar coordinates gravity just heads straight toward the mass. >> Isn't that weird? When you look at it from Cartesian coordinates, it looks like the gravity is going around the mass, but that's not what you'd expect. You'd expect the mass the gravity be going right at the mass. But when you look at it in polar coordinates, the gravity goes straight at the mass just as you'd expect, which almost means that the polar coordinates are the real thing. That's the real physics. The Cartesian coordinates are an illusion. Oops. >> Now let's experiment a little. In the previous video, I showed the concept of self-force. That's when an object's own gravity pulls it somewhere because of how the space around it is curved. And there I showed that on a regular torus there is no self-force. >> So, because of the size of your object and the distribution, objects are going to just begin to push themselves around because of this. But the torus, your donut, has no self-force. Force-free condition. We know that. Sacred geometry. The torus. Why is the torus so important? Because it creates a null point. Let's skip ahead just a minute here. >> But here the self-force pushes anybody away from the fixed point. And if we run an actual simulation with an initially stationary body, you can see it trying to fly farther and farther from the center. Also, the self force almost doesn't depend on the relative rotation of the portals. >> And you know what's crazy about this? This is exactly what David Froning was saying. You get free acceleration. The moment you go through the portal, you reduce your mass, you're getting free acceleration. And this is what the guy is saying here is when you do this math, these objects start accelerating on their own. This is dark energy. This is what dark energy is. This is how the universe expanded faster than the speed of light. >> The arrow still points away from the center. It turns out that in a space like this, everything will strive towards infinite separation and expansion. Under the last video, a lot of people commented that the self force of certain portals looks a lot like dark energy. >> The self force of portals looks a lot like dark energy. Happy birthday Yoga with Denise. There you go. Happy birthday. There it is. Why? Because dark energy is zero point energy. It was just renamed. Looks like dark energy, the people said. Makes me wonder if dark matter and dark energy are just some sort of interaction upon geometry of the universe that we haven't considered the nature of yet. Boom. Bazinga. What if dark matter is actually strings of self force in our universe? And now, what did I say about the trampoline? What have I always said about free energy, guys? What have I always said? If we push down on this, we get free energy out of it. We get self force. The combination zero point energy tapping zero point energy produces thrust because when you're breaking this equilibrium, you're getting a pull. You're getting a push effect. Just like dark energy. >> Dark energy and the expansion of the universe. But this specific example of self force looks the most like dark energy. Maybe we live on a surface of a four-dimensional sphere sitting in a space like this constantly stretching and expanding. >> Uh yeah, exactly that. Maybe we live on the surface of a four-dimensional sphere constantly expanding and contracting. Maybe that's what our reality is. Maybe there's an extra dimension and we don't perceive it and that's why there's this negative energy and negative mass and why this guy's math and calculations work out perfectly when you distribute the negative energy using an extra dimensional model. Uh yeah, yahtzee couldn't have asked for any more myself, guys.