How can learning more about fractals help us to understand nature and the universe?

By understanding why fractals occur in nature, we can derive principles that link us back to their source and take consequences from it.

Fractals are a pure mathematical phenomenon that occur in the universe which is rooted in geometry. That is to say, the fractals are common mathematical patterns that are expressed repeatedly in the universe.

Fractals in nature reflect the artistic expression of a single source that wishes to express its love for beauty. The spiral galaxies in the sky and the DNA spiral are fractals that are rooted in the same wish to express the love for beauty. In the fractal lies the signature of the consciousness that is the root cause of the existence of the universe.

Fractals are the result of a yearning for beauty by a single source.

The ancient peoples expressed their love for beauty of the universe by drawing spirals on rocks. The Saguaro Spiral in Arizona is a typical example of spirals that are etched on rocks all over the world. More about that here:

https://www.nps.gov/sagu/learn/historyculture/petroglyphs.htm

Beyond astronomy, earth sciences and medicine, fractal geometry is widely applied in other sciences including computer science, fluid mechanics and telecommunications.

The universe is comprised of a myriad of fractaline shapes. I will focus on one, which is the logarithmic spiral, at some depth.

Principles of geometry are immutable and are applicable to more than just the logarithmic spiral, which typifies the realm of fractals.

Do understand that the universe is comprised of curved lines, the logarithmic spiral being the most ubiquitous.

Fractals belong to the realm of imagination that manifests itself beautifully in the universe on the basis of mathematical rigor.

Fractals in nature are expressions of rigorous geometry in the form of beautiful shapes conceived by a single source.

The fractal zoom factor allows for the reflection of beautiful shapes on the basis of a single shape.

Fractals express the most beautiful of shapes in the universe

Fractals objectivizes the realm of consciousness that brings to the fore the presence of mind - planning, intention - for the sake of beauty in nature.

 

 

The picture above show the Golden Spiral - logarithmic involute, which forms the logarithmic spiral.

The most important property of the logarithmic spiral is what is known as self similarity which means that it looks the same under any scale. The logarithmic spiral looks exactly the same regardless of whether it is enlarged or made smaller. We can say that the logarithmic spiral looks exactly the same whether it is zoomed in or zoomed out. The most outstanding feature of the logarithmic spiral is that its angle is preserved and that is the trick behind identifying logarithmic spirals from other types of spirals.

 

 

The logarithmic spiral - as shown above - is a scale free geometrical figure which is manifested in the universe at every level from atoms to galaxies.

Here is perhaps the most GIF beautiful picture of a slow rotating galaxy one can find that illustrates the shape preserving principle.

 

 

Why is there obsession with spirals in the universe? Answer to this question is: Spirals are the most beautiful resultant objects that subjective consciousness can conceive.

It would not be too much to say that the reason why subjective consciousness is obsessed with spirals is because it is supremely beautiful. Same too with other fractals.

There are a number of natural phenomena that express beauty but appear terrifying to us at the same time.

There is a common rigorous mathematical principle behind them all: fractals.

Among these phenomena are tornadoes, hurricanes, eddies, ocean waves, maelstroms and whirlpools, and even tsunamis, which are all manifestations of fractal geometry. Other manifestations of fractals in nature include trees, rivers, lightning strikes, coast lines, and human biology: lungs, circulatory system, nervous system, and brain neurons.

Is the ubiquity of fractals, which are a highly ordered structures and not haphazard structures in the universe, the result of an accident?

Finally, we spot the question: “How self-similar can the universe be?

If the human brain is a model of the universe, it would mean that the universe has self-similar qualities like a fractal and that we, or at least portions of our brains, are the miniature versions of it..”

The existence of fractals in the universe is due the communicative wishes of the Supreme Subject to express its love for beauty.

The universe is an expression of love of the Supreme Subject over and above everything else.

Reference:

https://naturebackin.com/2020/12/04/patterns-in-nature-fractals/