Mechanical quantum fractal?

Benoit Mandelbrot was saying that the geometry fractal teaches us to observe this old world with a few new eyes. The existence of all that of action that is intimately joined to the proper nature of the energy of the quantum fluctuations of the gap forces that his structure is discontinuous, staggered, fractal, for it the geometry fractal can teach us something that earlier we could not see.

I believe that there are objective arguments to consider a quantum mechanics to be a mechanical quantum fractal, that is to say under the point of view of the geometry fractal, but in science there exist a few tendencies or fashions of which it is difficult to turn aside, although it is to give a short walk. This can be one of the problems for which the current physics is stagnant.
And it is not a reflection of mine, some of the best physicists say it about the actuality, it is escaping from us a little that we must have it in front of our nostril and are not capable of seeing it. Sincerely, I believe that the fractales can help us to find it.
With the fractales, in certain way, we undo the abstraction that leads us to passing from a real object to ideal geometric objects for a line, a bucket or a sphere, and approach a little more the above mentioned real object. Benoït Mandelbrot uses the simple example of something real, as there are the coasts of the countries, to come closer the fractales. There are broken lines that keep on having a similar aspect when we change scale. Precisely these two properties are those who define a fractal: discontinuity (it plows, fractures, hence his name) and autoresemblance with the change of scale. We measure his grade of break and aberration with a simple number that we call a dimension fractal.
On this matter it is important to revise the structure concept fractal of Kenneth Falconer in his titled work “Fractal Geometry: Mathematical Foundations and Applications”, in 1990. In her it describes a structure concept fractal ‘F‘ as that satisfies someone (s) of the following properties:
(1). - “F“ it possesses detail to all the observation scales;
(2). - It is not possible to describe "F" with Euclidean Geometry, so much local as globally;
(3). - “F“ it possesses some class of autoresemblance, possibly statistics;
(4). - The dimension fractal of "F" is major than his dimension topológica;
(5). - The algorithm that serves to describe "F" is very simple, and possibly of recursive character.
Benoit Mandelbrot was saying that the geometry fractal teaches us to observe this old world with a few new eyes. The existence of all that of action that is intimately joined to the proper nature of the energy of the quantum fluctuations of the gap forces that his structure is discontinuous, staggered, fractal, for it the geometry fractal can teach us something that earlier we could not see.
Curiously, if we look in google "mechanical quantum fractal" or in English "Fractal quantum mechanics", practically we do not find anything. In Spanish I have found this marvelous linkage to Science Kanija. In my entry on "Ten dimensions, superropes and fractales" (*), you can read something more especially this. A greeting friends.
(*) The University of Chile, in his magazine Open Science, published to me the article “Stabilization of the quantum gap and rolled up dimensions”, (later other more finished two) on the possibility that the study of the energy of the quantum fluctuations of the gap should demonstrate to us, by implication, the existence of 6 rolled up dimensions that needs the superropes theory. The calculations seem to indicate that about the state in which there was adopted the configuration of 3 ordinary dimensions and 6 compactadas, the proper nature should be had decided of all that of action