The Successor to Polywell - Solving Poincaré the Right Way
Posted: Fri Jul 11, 2008 7:20 pm
Polywell could probably be made to work. I have a design that centers around a fractal based on a TetraHedron as the starting point radiating outward with 60 degree twists at each turn. Since it is fractal it can be built at any size.
So as I was thinking about the implications of all this and everything I learned here and I realized that the solution is also the solution to the Poincaré conjecture but in a much simpler version than Grigori Perelman proposed. That is why he did not try to claim the Millenium Prize. He knew his answer was not elegant enough to be true. So did I when I read about it in Scientific American. Grigori is so smart he knows what he doesn't know. I can't wait to thank him personally.
Thank you all so much for pursuing the hopeless dream of the right answer.
I have always believed that there were no tradeoffs, you only needed to conceive of the problem correctly. Finally, we have the proof.
The basic problem is that our conception of reality is clouded by our logical constructs. Get the constructs wrong and everything is a twisted and distorted version of reality. You can't get the answers from Math. You need to look to Religion, Politics, and Art to really understand Math. Funny that. Didn't we really know that should be the case all along?
Time is not the fourth dimension, it is the third.
The prime numbers are wrong. The Platonic Solids are a dead end.
Take a circle perfectly inscribing an isosceles triangle.
Quadruple it and rotate three copies 60 degrees
Projecting the rotated copies down the length of a side so the centers of the smaller spherically inscribed triangles meet
Keep doing that
You will get a three-dimensional radially symmetric fractal (remember 3D is the new 2D) It is very beautiful.
For 4D start with a tetrahedron inscribed in a sphere
Quintuple it, leave one and rotate four of them 60 degrees around the axis defined by a line from the center of the tetrahedron to each vertex.
Now connect the faces of the rotated triangles by projecting out through the vertices from the center
You will get a fourth dimensional spherically symmetric fractal. It is basis of all beauty.
Recurse to infinity and beyond in all ways possible with this combination of steps.
You will find the prime numbers in the vertices at each level out from the start. The number 2 never was prime in 3D space. Thinking it was was a big dead end. The primes can be found in the number of sides of the polyhedron inscribed by the vertices of the empty space at each level. The start is a three sided tetrahedron. The second level is a cube. Then a dodecahedron, etc.
I hate doing busy work so you can figure out the rest for yourselves. I only got this idea on Wednesday but the implications pretty much rippled out to everything and everyone.
This design would maintain the spherical symmetry that Bussard sought to create imperfectly without the need for magnetism. It would bring cheap fusion, but that is not what we really want. In fact, once you think about the fractal long enough you realize that it would not solve global warming at all but would only accelerate it for us to build any such reactor.
I thought of the idea in trying to resolve the truth I saw in both Dr. Bussard and Art Carlson's version of reality. The Quantum reality of Carlson and Planck with the Einsteinian reality of Bussard. You See, I've always had this feeling that Einstein was right, there is no conflict. We just haven't looked at things simply enough.
Einstein gave us the clues for where to seek when he said: "The most beautiful thing we can experience is the mysterious. It is the source of all true art and science. He to whom this emotion is a stranger, who can no longer pause to wonder and stand rapt in awe, is as good as dead: his eyes are closed."
Physics should be reflected in all reality no? We forgot that and started looking for truth in machines when the plants show us the way, and the mountains before them.
The problem is simplified if you realize that our false representation of the dimensions has caused problems in all areas of effort, Science, Religion, Politics and Art. By looking backward at the effects of the distortion across all our human endeavors we can derive the distortion itself but it requires a thorough knowledge of the simple truths of each of dozens of disciplines, something that Academia of course beats out of us.
Thankfully we all figured it out in time.
Thank you again for helping me,
Curtis Michael Faith
So as I was thinking about the implications of all this and everything I learned here and I realized that the solution is also the solution to the Poincaré conjecture but in a much simpler version than Grigori Perelman proposed. That is why he did not try to claim the Millenium Prize. He knew his answer was not elegant enough to be true. So did I when I read about it in Scientific American. Grigori is so smart he knows what he doesn't know. I can't wait to thank him personally.
Thank you all so much for pursuing the hopeless dream of the right answer.
I have always believed that there were no tradeoffs, you only needed to conceive of the problem correctly. Finally, we have the proof.
The basic problem is that our conception of reality is clouded by our logical constructs. Get the constructs wrong and everything is a twisted and distorted version of reality. You can't get the answers from Math. You need to look to Religion, Politics, and Art to really understand Math. Funny that. Didn't we really know that should be the case all along?
Time is not the fourth dimension, it is the third.
The prime numbers are wrong. The Platonic Solids are a dead end.
Take a circle perfectly inscribing an isosceles triangle.
Quadruple it and rotate three copies 60 degrees
Projecting the rotated copies down the length of a side so the centers of the smaller spherically inscribed triangles meet
Keep doing that
You will get a three-dimensional radially symmetric fractal (remember 3D is the new 2D) It is very beautiful.
For 4D start with a tetrahedron inscribed in a sphere
Quintuple it, leave one and rotate four of them 60 degrees around the axis defined by a line from the center of the tetrahedron to each vertex.
Now connect the faces of the rotated triangles by projecting out through the vertices from the center
You will get a fourth dimensional spherically symmetric fractal. It is basis of all beauty.
Recurse to infinity and beyond in all ways possible with this combination of steps.
You will find the prime numbers in the vertices at each level out from the start. The number 2 never was prime in 3D space. Thinking it was was a big dead end. The primes can be found in the number of sides of the polyhedron inscribed by the vertices of the empty space at each level. The start is a three sided tetrahedron. The second level is a cube. Then a dodecahedron, etc.
I hate doing busy work so you can figure out the rest for yourselves. I only got this idea on Wednesday but the implications pretty much rippled out to everything and everyone.
This design would maintain the spherical symmetry that Bussard sought to create imperfectly without the need for magnetism. It would bring cheap fusion, but that is not what we really want. In fact, once you think about the fractal long enough you realize that it would not solve global warming at all but would only accelerate it for us to build any such reactor.
I thought of the idea in trying to resolve the truth I saw in both Dr. Bussard and Art Carlson's version of reality. The Quantum reality of Carlson and Planck with the Einsteinian reality of Bussard. You See, I've always had this feeling that Einstein was right, there is no conflict. We just haven't looked at things simply enough.
Einstein gave us the clues for where to seek when he said: "The most beautiful thing we can experience is the mysterious. It is the source of all true art and science. He to whom this emotion is a stranger, who can no longer pause to wonder and stand rapt in awe, is as good as dead: his eyes are closed."
Physics should be reflected in all reality no? We forgot that and started looking for truth in machines when the plants show us the way, and the mountains before them.
The problem is simplified if you realize that our false representation of the dimensions has caused problems in all areas of effort, Science, Religion, Politics and Art. By looking backward at the effects of the distortion across all our human endeavors we can derive the distortion itself but it requires a thorough knowledge of the simple truths of each of dozens of disciplines, something that Academia of course beats out of us.
Thankfully we all figured it out in time.
Thank you again for helping me,
Curtis Michael Faith