Dr. Egal,
OK, since I attacked a lot of the essays in this contest therefore some offended scientists like Dr. Egals tries to find errors in my theory. You see, the attack is the best method to force other scientists to analyze my theory. Welcome Dr. Egal to the Hole Vacuum theory.
''you cannot create a theory in isolation''. Please show me an example of the rigorous theory in this contest. I say that I created this theory in isolation to argue why I cannot demonstrate superluminal teleportation and the complete theory of quantum mechanics. Besides, the complete quantum mechanics cannot fit in the essay with 25000 characters.
''I don't know how you jump from edges to holes, but the whole is wrong. Compact spaces are spaces that can be covered with finite volumes yet they do not need to have an edge or border because you can approach asymptotically to it without never reaching the border such as in open spaces, e.g. the interval (0,1), finitely enclosed length with no edges''
First you must try to understand how I jump from edges to holes before making the unproven declarations ''the whole is wrong''. You don't observe holes because you use mathematical abstractions - I agree, it is very difficult to find holes in your abstract mathematical representations. In my theory you also can approach asymptotically to hole without never reaching the border (hole); My finite in volume Universe yet do not need to have a macroscopic edge and you may travel an infinite path without reaching any border because spacetime is curved.
Imagine the first micro-seconds of expansion of the Universe. The Universe is very small and therefore FINITE in volume. Outside of the expanding Universe is nothing - no matter, no space, no time, and no length. In fact, the Universe is an object suspended in the absolute void (hole). In other words, a hole is a void or the ''space'' where every two points coincide because the hole does not have extent and time. Thus, every two points placed on the external surface of the Universe coincide because a hole does not have extent. Therefore the external surface of the Universe collapses to a point. In other words, the Universe looks as a point ''from the outside''. The spacetime in the Universe is curved back to itself; In other words, you can travel an infinite path on straight line and you'll never see any macroscopic border. Meanwhile I shown above that the Universe finite in volume must have a border in form of the point; Thus the finite in volume Universe must have at least one border in form of a point, it is a hole. According to cosmological principle this border can exist in form of ubiquitous virtual holes only. In simple terms, the cosmological principle says: The universe is homogeneous and isotropic. This means there is no preferred observing position in the universe and you see no difference in the structure of the universe as you look in different directions. If a border exist in a single place it would violate the cosmological principle therefore holes must exist in every point of the Universe. Therefore, the Universe have an edge in form of the ubiquitous holes which appear and disappear in every point of the Universe.
If you are not happy with above introduction of vacuum holes then I can offer you another way. Imagine the quantized spacetime consisting of fluctuating spatial atoms dV which appear and disappear. When the spatial atom disappears it creates a vacant place which does not contain spacetime - a hole in spacetime. What can appear in place of dV? If spatial atoms dV exist then dV must appear and disappear continually. If you forbid the fluctuation of dV you get the ether forbidden by Michelson- Morley experiment. I can demonstrate you that dV cannot move continually, the must jump only. To move continually, the macroscopic object need the spacetime continuum. However, since dV do not have the background continuum then dV can move by jumping only. However, since dV jumps and disappear.
''I don't know how you jump from edges to holes'' the edge of the Universe is another name of holes. The Universe is the matter; a hole is the edge of the Universe because it does not contain matter or spacetime, a hole is not a part of the material Universe.
''How do you jump from holes to discontinuity? You have to be mathematically precise, if the dimension is no smaller than 3 then the whole is still topologically connected and continuos in this sense as you can find a path from anywhere to anywhere from the space (without the holes)''.
First let us define the notion of continuous and discontinuous. The object is continuous if every two points on its surface have the similar properties. The object is discontinuous if it is not continuous and we can find the points where its matter is absent. For example the air is not discontinuous because it is made of gas atoms, molecules and void between them. Since we can find the void between air' atoms/molecules then it is a proof that air is discontinuous. Your computer is discontinuous because it is made of atoms separated by the void. All matter is discontinuous because it is made of particles separated by the void. In fact the entire Universe is discontinuous because it is made of discrete particles separated by the void. The spacetime with holes is discontinuous because it is made of spatial atoms separated by the void (holes). (text continues below)