The Astro Atomic Model depends on some core assumptions, with one of the most fundamental being the idea of infinity. The idea of infinity is a concept which may differ widely by many who consider it, so it will be helpful to understand this concept in the way it's used in the AAM.
First, the concept of infinity can be applied to physical dimensions. In this interpretation, infinity implies that space, as well as matter, can be broken up in smaller and smaller parts, without end. This means that there is no fundamental particle or particles, which are the building blocks of all matter. In the same manner, infinity implies that space and matter extend forever, with no boundaries, which means there is no edge to the universe as we know it.
We can also think of infinity as applied to 'levels', or material scale of matter. The material scale is a concept of how our physical surrounds are analogous to the atomic scale. It rests on the concept of self-similarity For example, at our level, or the level which we experience (level = 0), our solar system is analogous to the hydrogen atom in the next lower level (level = -1) of the material scale. Along the same concept, our solar system would be analogous to a simple galaxy, which, given billions of years, will form a solar system in that level (level = 1), and our own solar system will be just a hydrogen atom in that level. The material scale also extends outward and inward forever. The material scale is labeled by it's distance from the scale we experience. The scale we experience is considered level 0, where the next higher scale would be considered level 1. The next lower scale to us would be level -1.
Let's consider the material scale of level 1, or MS1. In this level our solar system is analogous to a hydrogen atom. The sun is the proton and our Earth is an electron, as are the other planets in our solar system. This would mean that the hydrogen atom contains more than a single electron, which the AAM proposes. In the AAM, atoms are categorized by the number of electron planes, not electrons. So, in MS1, our own solar system is a hydrogen atom within that level.
Now let's consider MS2. In this level our milky way galaxy is in the beginning stages of forming, most likely, a single star solar system, with the core forming the sun, and the globular clusters forming the planets. Since our galaxy is part of a the Local Group supercluster, it's possible that our galaxy will be part of a more complex atom, which contains more than a single electron plane, and more than one nucleon. Currently, it's in it's infancy of development, so it's hard to determine what the future will bring in the formation of an 'atom'. Our own solar system would be a hydrogen atom in this level.
Now let's consider MS3. In this level, the known universe as far as we can see, is in the early stages of forming a solar system. It's also possible that it was once a well developed solar system, and erupted as a supernova, which is why current observations show all galaxies within it are moving away from a central point in space.
We can continue along this reasoning, but it is hard to conceive of the higher MS levels, because we do currently have the capacity to determine or see anything outside our universe, or at least determine if some of the objects that we can see are a neighboring universe, or part of our own universe.
Likewise, we can use the same approach to describe the self similar nature at the lower levels. First, let's consider MS-1. At this level, a hydrogen atom is a solar system, with the proton as the sun, and the electrons as the planets forming a single electron plane. These bodies are made up by their own atoms as well, which would be solar systems in MS-2. These particles would be much too small for us to detect in our own level, which is why conventional physics does not consider them. In the AAM, these particles make up the Aether.
When we discuss the relationship and analogy between the different material levels, we also need to keep in mind the differences in time spans within the different levels. For example, it takes billions of years to form a complete single star system from a proto-disc of gas. In MS-1 the hydrogen atom, which is that analog or a single star system, the same thing happens in a microsecond in our own MS0 concept of time. But, if you were living on a one of the electrons (planets) within this atom, the process would take what seems billions of years, like it is that we witness in our own scale.