There were tornadoes in my local area that is reminiscent of something really interesting about the universe that I cannot see has been pointed out. It is something fairly simple.
We know that there are processes that balance themselves by inducing opposites. One of Newton's Laws is that "For every action there is an equal and opposite reaction". When an electric current in a wire or coil induces a current in another wire or coil the induced current will flow in the opposite direction from the original current. When a magnet is used to magnetize another piece of metal it will induce poles opposite to those in the original magnet.
But what about the basic nature of the universe? Topology is about the shapes or forms of objects. Some entities that make up the universe are functions of others, meaning that one must come first before the other can follow. How might this affect their topologies?
The space in the universe must come before any objects. But space has it's topology. The dimensions of space form right angles. We can easily see this by stacking boxes or looking at property lots. The only shape that fits together with no space left over have right angles, most basically squares in two dimensions or cubes in three dimensions. This proves that three dimensional space is cubic, the dimensions form right angles.
If anyone was asked what shape was the opposite of a cube, with no more information added, the logical answer would be a sphere. So if a sphere is the opposite of a cube, and if space was going to induce it's opposite topological form then we should expect to see spheres somewhere in space.
That is exactly what happens when matter collects together by gravity. A sphere is the default geometric form of matter that collects by gravity. All we have to do to see this is look at the sun or moon or a globe of the earth. A gravitational mass is said to form a sphere because it is the three-dimensional form with the lowest energy state, or the lowest surface area per volume. But the topological reason is that matter is a function of space and a gravitational mass takes the opposite topological form from that space.
So if the earth is spherical because it is made of matter, and matter is a function of space, and space is cubic and, according to my Inverse Topological Rule, a gravitational mass of matter had to take the opposite topological form from space, then what about the earth? Does it induce it's opposite topological form into anything?
We are used to opposites coming in pairs, such as left and right, up and down, or negative and positive. Topology doesn't necessarily work in the same way. The topological opposite of a cube is a sphere, but the opposite of a sphere isn't a cube. This is because a sphere contains less information than a cube. A cube has to have it's directional alignment specified but a sphere doesn't. A topological form cannot induce another form with more information so the induced opposite of a sphere must be something else.
The topological opposite of a sphere is actually a pseudosphere. A pseudosphere has a continuous negative curvature, just as a sphere has a continuous positive curvature. This is a pseudosphere, from the Wikipedia article "Pseudosphere".
What do you notice about this pseudosphere? A tornado is caused by the spin of the earth. What form does it take? The form of half a pseudosphere.
Have you ever drained a sink full of water so that the water swirls around into a whirlpool? What form does it take? The form of half a pseudosphere.
What about Albert Einstein's General Theory of Relativity? There are two theories of Relativity. The first, and the one that I refer to the most here is the Special Theory of Relativity. But there is also the General Theory, about how gravity bends light. A mass theoretically curves space so that an object in orbit is moving in a straight line, but through curved space. That is what gravity is, a mass curving the space around it.
But what form does the curvature take? It takes the form of half a pseudosphere. If we charted the acceleration of a falling object due to gravity it would take the form of a pseudosphere.
A question arises as to why a sphere, the default gravitational form of matter, is the topological opposite of a cube, the dimensions of space, but contains less information than a cube. Remember my cosmology theory. Matter originated from the two-dimensional sheet of space which was scattered by the Big Bang over four dimensions of the background space, one of which we perceive as time. So it's two dimensions against four.
Remember that all around you, every day, are things that no one has ever pointed out.
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