Universal ceteris paribus: fractal

Ceteris Paribus - keeping all other factors equal or constant. Fractal Isolation

This entry shows that fractals demonstrate that Ceteris Paribus exists in reality and has connections directly to our understanding of reality—even possibly at the atomic scale.

 Ceteris Paribus is a central assumption behind economic models and analysis—and, of course, unbeknown to others, all science itself. It assumes or sets all other factors equal or constant, allowing us to study the pattern of the object in question. Without it, the 'cause' and the 'effect' would not be discernible—or would be confused in the 'chaos'.
I often explain to those outside economics that this is our way of achieving a controlled laboratory experiment. This is also seen as the weakness of economics, as we don't (really) live in a 'ceteris paribus' world; we live in chaos. I would strongly argue—again—that this is the weakness of all the 'sciences'. We may have theories, but we cannot predict precise outcomes with these theories.

With the Koch Snowflake (below) - or any fractal in isolation - there are no other factors (or other fractals) in the image. The shape is a pure (sterile) function - pure Ceteris Paribus. 
Scale and location are impossible to discern.

 This problem of no scale or position is what we call (in reality) being lost.  In reality, ceteris paribus locations or situations are ones where there are no reference points, no discernible scale, and we feel lost. All we have is shape (or knowledge), and as the perimeter of the Koch frontier is infinite, we have ourselves a reference point or positional problem.
 Creators on the Moon
Ceteris Paribus exists in reality, too—in monotonic 'landscapes'—snowscapes, dunes, waves, and the like.
One example I picked up on - and demonstrates this observation - is the craters on the moon's surface.
Watching the moon landings (yes, they did land on the moon!), it must have been next to impossible for the pilots to discern height; there are no other reference points. It must have been like this, flying in the clouds without the aid of instruments. They relied on their radar—their instruments.
From (Fig. 1) below, ask yourself, what is the distance between these craters?
Is it 1:1?
Is 1:1,000,000?
We can't tell, can we? Height, scale, or location cannot be discerned - with the information provided.
Interestingly, one cannot even discern if it is the moon? It could be a tray of flour - with craters?
What we can discern, though, is that it at least looks like a crater landscape.

Fig. 1

For us to know more, we need reference points.
In Fig. 2, we now have references: 'eye at 104.10km  - it is very large.
Is it the moon? I trust NASA and Google, and the two dominant craters in Fig 1 are at the top of the image. We actually get another reference, time: 11:27 2010-12-29, and it is in the age of Google.
This is how these craters looked around that time - and have done for many millions of years.

Fig. 2

In Fig. 3, we can see that the large crater has a name: Lambert. This is another reference. Those 'in the know' will know Lambert and, of course, the other craters in Fig. 1.

Fig. 3

Fig 4. Lambert at 210km could still be a tray of flour, yes? Take a look now at  Fig 4.a of Earth from 210 km's.

Fig. 4

Fig 4.a

  Below in Fig. 5 is a moon image without a reference point taken at 3.75 km above the Moon, and Fig. 6 is taken from 3.79km above the Earth. Which one do we know more? Which one would you be confident with when deciding, like touching or walking on? The Earth, right? We can tell the altitude of the

Fig. 5

Fig.6

Conclusion.
Fractal Ceteris Paribus is where we can know and understand the object in question; it is where we do 'science'; it is clean of all the 'chaos' of other influences.

The paradox is that in 'ceteris paribus, ' we don't know position or scale.
This leads me to believe that there is a direct relationship between the fractal and the atom - for this is the language I hear when the quantum world is described to me. Something I will pick up on soon.

Thank you.
Blair