Egal,
I found a flaw in you reasoning, you write: ''Just to show you that you cannot create a theory in isolation because you will lack of all knowledge to come up with something serious I will attack one of your many flaws. You say: "Since the Universe has a finite volume, it must have the edges (holes)." 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''
In other words, you have a mathematical model of continuous compact space without borders; And you are trying to prove that my discontinuous space is wrong just because your mathematical model is continuous and without borders? It is the absurd and senseless statement! In the same way you may try to prove the contrary: continuous space is wrong because your mathematical model is discontinuous. In general, it is absurd to prove the nature of spacetime using mathematical models. Please try to introduce holes in your mathematical model and then borders may appear in your model.
''You lack of basic knowledge of mathematical topology''
Note, that my vacuum holes are NOT topological defects therefore my spacetime with holes has nothing to do with your topological theories. Vacuum holes have totally different properties in comparison with topological defects. Therefore it is absurd to compare your topological theory with my discontinuous spacetime. First try to prove that vacuum holes are topological defects; If you'll prove that holes are topological defects, then you may write about ''lack of basic knowledge of mathematical topology''. My theory has nothing to do with the present topological theories because these theories do not consider holes in spacetime.
Thus, I found a logical flaw in your reasoning: it is absurd to prove that the discontinuous space is wrong just because you have a continuous mathematical model without borders. In general, it is absurd to prove the nature of spacetime using mathematical models of spacetime. For example, please try to prove that spatial atoms does not exist using your mathematical model.
To prove my reasoning wrong please show me an example of physical object finite in volume without borders. All finite in volume objects have borders! Therefore the finite Universe also must have a border at least in form of a point. And the border is another name for vacuum holes because a hole is not a part of the material Universe. The spacetime with holes is discontinuous because a hole is the absence of spacetime. Thus, spacetime is fundamentally discontinuous and have holes because Universe is finite.
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.
You'll NEVER find errors in this theory. Since holes are able to explain gravity, inertia, mass and quantum phenomena in the same model, it is the best proof that the Universe is fundamentally discontinuous.
Constantin