Okay, this is a broadcast from into infinity and today we’re going to be talking about the continuum hypothesis. We’ve already got quite a few posts on this. And I’ve already put out quite a lot of details on some of the explanation as to the continuum hypothesis and how we’ve managed to solve it in a very simple way, actually, just purely by taking a piece of paper and representing number space on that piece of paper, and then folding it and that fold becomes the line if you like. And if you look, we can we examine the line. And so how do we do it? Well, it’s quite simple. I’ll just explain very simply, you take a square, and let’s say we draw lines in the square in one direction. And we’ve got squares going lines going in one direction. And let’s say, over one half of the square, we’re going to also draw lines going in in just one half of the squared lines going in a diagonal direction, or could be a vertical Yep. Whatever happens on one plane, we’d have lines that are in one orientation. And in another plane, we have the lines are in another orientation on either on either side of the square, and on one side, we’ll have two lines that cross and one side will have just one line that crosses. So what you see is then is that the space within one space has a value, which is defined as why all these crosses on the line of the diagonal, the route to diagonal. And when we fold that number space over that number line across the diagonal, and it touches the other night and we see that actually the numbers shift in axis and miserable is quite important. And that’s kind of what numbers do if you think about it, you know, when we get the square root square root square root square root button over and over again, which way we’re going to go we’re going to go towards zero or we’re going to go towards one. Wherever inside the space between 01 We’re going to go up to the number one. And if we’re above the space, we’re going to go down to the number one. We went across the boundary. That’s the infinity of one. Yeah. And so can you imagine, you know, we’re routing and as far as routing numbers, they’re on either side in reciprocal space. Between the one is getting smaller and smaller reaching, you know, but actually, it will always be uniques space at the end of it, you know, the end of that routing one route to infinity always be unique. That’s the amazing thing about infinity. So, every number that you can square root can you can square root to infinity. And it will approach one and that goes for every single fraction, and actually any number whatsoever. So that was what causes them called the Russell paradox. Because obviously inside of this infinite, they didn’t really I don’t even really recognise about this particular quality. of infinity around the one for some reason that hasn’t been sort of properly expressed in mathematics. But when you when you do start to think about how these, these four mathematical functions work within the number space, then we do start to see that there are boundaries to the number space and one of the boundaries is one. We have another boundary with two which is all the triangular numbers. And so once again, we get actually 1.99909 and that all relates to the number e and the density of infinity and all of that stuff. And so and so you can see actually when we talk about the numbers 01 And two, we’re not talking about numbers 01 And two, we’re talking about units unit measure of infinite infinite density, infinite density. So infinite density is metered from zero to 1212 and so on. And inside of each one of those things, we have a certain amount of infinities. Now what happens is, as we folded the square into number space, you can imagine that’s that’s the reciprocal space between zero and one. We’re going to fold it and it’s going to touch the reciprocal space now, or the whole number space, which we say is actually just an existence between one and two. This is like as the fence posts, and as you fold it over, what you find is the piece of paper is that the lines really rotate and they crossed the the number line again, in another orientation. So what you end up with is a line which has two crosses, meeting over and and creating a line now which has four crosses on the other side. Yeah, it’s four. So technically, you could say double density, which is what we’ve got. Yeah. So that’s how it works. It was very simple, really. And so all we have to do then is recognise that what’s really happening is, is that they’re the reciprocal number. When we move into number two, we’re really minor missing an infinity that’s what’s happening. We’re missing that infinity of one and so, the, the, the the reciprocal values you know the what we’re talking about all that infinity sound so over one has all gone it’s all gone once we’ve moved, you know, once we once we deleted that from the infinite set that remained above Yeah, but we don’t see that infinite step up because was too busy looking at the the start of the number line. But actually when we look at infinite sets, we often talk about infinity minus one infinity minus two and things like that. We start to minus the infinity as we move, and that allows us to calculate at the end of infinity what’s going on. So, that was one of the that was one of our solutions are the actual solution was that we use normally is produced in fourth dimension but but it’s a little bit more complicated. Because we’re there aren’t the numbers in the standard mathematic in order to explain how that works exactly. But in fourth dimensional number space, it gets a little bit more tricky because we’ve got a box of numbers. And so we’re working with 00 to the power of three and things like that. And what you start to see is that this number density can increase quite quite dramatically actually, as we start to pile in numbers into three dimensional number space, but but all of that is when outside of the remit of standard mathematics and so the solution to the continuum hypothesis that we’ve come up with, we had to devolve into a two dimensional solution, which is not a problem because you can protect the fourth dimension into 2d, just you can project the second dimension into 2d, but that’s kind of what we’ve done. We’ve We’ve kind of like moving a square of space and we’re superimposing over another one. And there’s a kind of rotation happening. You see what I’m saying? And, and it’s that rotational function of numbers and how they rotate in space, which has been sort of appropriated by AI in a kind of way, but because it’s rotating with only one axis, rather than an xy axis, it’s like you’ve got this Zed plane, it’s all our balance, you know, normally you have XY and Z as we know for three dimensional space. And and guess what, you know number number mathematics, of all dimensional math. There’s no difference. So you need those extra numbers otherwise it doesn’t work, you know. And so that was just end up keep going around in circles, missing, missing the gate, every every other one, you know, open, close, open, close, open, close the door. And that’s what we say is that it’s happening with a number I, you know, so I’m sorry, but if you’re a fan of number, I mean, I’m not saying you can’t use it. Sure. Go for it, you know, but I’m just saying, if you want to do with the mathematics of fourth dimension and infinity, it’s not going to work. It’s as simple as that, you know, it doesn’t, you know, we can really show you that the square root of one and how that works in the in where it works within the fourth dimension. So there is a place for it, and it’s not on the number line is number II, it doesn’t it doesn’t fit there. So what it does for us instead, is that we look at the folding of lumber space, we look at the rotation of number space, and we look at that in a kind of like, in a way whereby you we can actually create numerical geometries. And so once we get into the concept of what we’re talking about, we realise there is a difference between a triangle and a square. Yeah, in terms of infinity. You could say that, you know, if a triangle you could say as a line, which diminishes towards a point on its on its opposite. As it moves through, you can create an infinite nine but the infinite line will diminish in size. So this is where we get the concept of a line being divided. Or counting a number line towards infinity that has a length should we say like that? Yep. And so when we look at a square instead of that what we see is actually we have a row of infinities. In parallel to another row of infinities in another parallel direction is like a kind of parallel grid. And they’ll call that a square grid. And that square grid is of a different nature. Yeah. So it just means that we can fit we can actually kind of square infinity. Yeah, like that. And when we do is actually happens through a rotational function. And that’s where we get the density of infinity being pi, that moment because so they can maintain, maintain that distance of one as it sweeps right away through on that square in process. So now, if you think about it, when when we talked about the folding of number space, when we open up from the centre, and we flip around, we’re creating what we call the toroidal motion of number. One flips out to the other flips back again, flips out to the other, what we’re really talking about when the fourth dimensional mathematics is that we have like a kind of reciprocal space and a whole space. And the reciprocal space is always folding out into the whole space and the whole space and collapses back into reciprocal and there’s a cyclic process. And when you model that and fourth dimension, what it turns into is something good for us. That’s the basic form. If it’s a square, it will be a hypercube, for example, and you can imagine what’s happening with the triangle, you can look into inverse geometry. And you will see that the triangle is turning into a hexagon. So that’s kind of what happens on that plane. So through the inverse geometric function. So once again, those are those are the sorts of we use inverse geometry. And what we laid the foundations for is the some of the hardcore mathematics. But with that foundation laid, actually everything gets a lot easier because we can now start to explain explain things in terms of hey, look at this fractal. It’s a square root two fractal for example, Hey, look at it, where it appears here and there. And so what you’re going to start to see is that actually, although we’ve gone through a lot of deep mathematics, that once we start to put it into pictorial form, actually gets easier and easier to understand. But what is important is that you need the background to understand the infinite density in order to make sense of the pictures. The pictures are actually quite common. They you see them around in designs and buildings and all that sort of stuff. There’s nothing new there. And that’s for a certain reason. It’s because of the geometric nature of balance and all of that stuff in infinity. So we always strive towards that. The perfection of man once upon a time. So in a win in a sense. Now what we’re doing is we’re trying to now move to a new comprehension of pi, a new understanding of infinity, and we’re pioneering a new type of mathematic of fourth dimensional mathematic, that solve the continuum hypothesis. And it was in our solution to the continuum hypothesis that our solution to pie emerged. We were able to decode the infinite at the end, and then we were able to find the the rest of the in the signatures infinity signatures from the disillusion function of y. And that allowed us to identify were set on the number scale, and, and its bounce function all about and so, by understanding all of those things about these, the numbers and how they work in the structure of numbers space, we’ve actually moved forward in our mathematical capacity to actually also now have a fresh look at some of the mathematics of quantum physics. And it’s surprising what has come out. Anyway, it’s all exciting stuff. We’re going to give you more information and more updates on some of our quantum physics stuff shortly and some of the geo geo geo quantum mechanics and all of that stuff. Because I know a lot of people are interested in atoms and things like that. I would have quite a lot of interest in some of that stuff. But I wanted to put out the mathematic first, because we want to show that she is through fourth dimensional mathematics that we can make this sort of stuff happen, and it’s an exciting field for those people. In maths. And we invite you all to join us on the journey into the fourth dimension of mathematics, whereby anything can be happening. We don’t know yet. So it’s a quite exciting field, you know, no more algebra. My God, we’re going to do a anyway, this is called empower. Reporting from into infinity a little broadcast for today, and just saying, if there are any more questions about any of that stuff that you want to know about, do please ask and we’re more than happy to try to broadcast some more information on these subjects. Thank you very much for tuning in and listening to into infinity broadcasting the solution to the continuum hypothesis, the greatest solution, the greatest problem to face, mankind in the 1900s and abled was said to be completely unsolvable and we’ve just managed to eventually solve it.
Prime number structure
Hi, and welcome to another broadcast from inter infinity, where we’re talking about fourth dimensional mathematics. And today we’re having