The mimicking of the macro with the micro and vice versa causes an image to come to mind. The large Universe gets smaller and we see galaxies, then planets, and so on until we are at quarks and the Higgs-Boson particle. When I think of this I then am reminded of fractals. Fractals are these shapes that repeat endlessly the further you zoom in. True fractals don’t exist in nature; however you have fractal-esque shapes in those that contain the Fibonacci spiral. You can zoom in on the spiral and keep on zooming in and you will keep on seeing a spiral.
Imagine a Cartesian plane. As it zooms in, you just end up with more lines and repetition. You can do the same in reverse. When you zoom out, you will continuously end up with the same figure regardless of scale. Notice how the figure will require you to zoom several levels before the figure repeats. For example: Level 1, L2, L3, L4…. The figure will appear the same at levels 1, 4, 8, 12…. In between those intervals, however, it may appear vastly different. Notice that, although L1 and L4 may appear the same they are mathematically different. L1 may be -1 and L4 may be -1.0001.
As discussed earlier, things at the macro level seem to be replicated at the micro level. What if this is just the scale getting to the point where things look similar? What if the planets are L1 and atomic space is L4?
If we were to accept this proposition, two possibilities can be realized. Either the universe is completely fractal and will cyclically repeat, or the universe infinitely regresses in both macro and micro directions.
If the universe is completely fractal, then that would mean when you look in at tree branches you will notice the bark. Go in further, you will see plant cells. Some more you will see atoms. But these atoms would actually be planets and galaxies. Essentially, the universe would reflect in on itself.
I cannot accept this theory. I would argue that the universe is fractal like, but not fractal. The planets and galaxies may hold certain observable similarities but do not hold similarities in properties. If you were to collide multiple Saturns together, you will not get the same end product if you put multiple carbons together. It is also hard to imagine a world where Saturn is made of multiple mini Saturns inside of it. The last counter I have to this idea is that things on the macro are not affected by those in the micro. Every time an atom collides in the Hadron Collider we don’t see a large explosion in our night sky. It is improbable that the universe reflects inward on itself.
The other possibility, that the universe is fractal like and will regress infinitely, seems more probable. This is to say that when you go from L1 to L2…L4 and so on, that L1 and L4 will look alike, but will not have the same properties. This is similar to looking at a Cartesian plane and zooming. The squares may look the same, but will have completely different measurements (2, -1 vs. 2.050037, -1.020045).
Finding a Center
Something to be noticed about this infinite regression is that it will not have a center. If we go off continuously macro-ly or micro-ly, we will never find an end. For things to have a center they must have an edge, boarder, or end. As suggested in the first section, there is no boarder to the universe. When looking at the universe, it goes off in all directions without end like a Cartesian plane. Therefore, there is no center.
An objection to this would be the fact that we use the populated (where there is stuff) part of the universe as the center. This won’t work for several reasons. If we were to do this, it would be completely relative to our portion of the universe. We assume that our portion of the universe (all the galaxies inside the known universe) is the only one. Why not assume there are other populated portions of the universe past the edge of what we know as the universe? My other counterexample is that we don’t use a chocolate chip to measure the radius of the cookie. We need to know where the edge of the cookie is in order to measure the radius. And since there is no edge to the cookie, the cookie goes on indefinitely in all directions.