"The main goal of all studies of the external world should be the discovery of rational order and harmony"
Johannes Kepler
Everything is endless. The universe is infinite, just like a fractal is infinite. The earth revolves around the sun. The Sun moves around the center of the Galaxy, completing a complete revolution in 220 million years. The galaxy revolves around a huge black hole - Sagittarius A. From the Earth to the center of the Galaxy, almost 30 thousand light years. No matter how much we approach the center, no matter how much we move away from it, the fractal will remain similar to itself. The Universe consists of an infinite number of nested fractal levels of matter with characteristics similar to each other.
Fractal geometry discovered by Benoit Mandelbrot describes the ordered chaos of nature and demonstrates the principle of infinite nesting of self-similar structures into each other on the basis of simple mathematical relations.
Is the Universe really infinite or just very large? Does the Universe have a center? Does it have boundaries? They do not exist, just as the fractal does not have a center and borders. Imagine that everything around is a fractal. And we are also part of this fractal. Endless self-similarity.
The Universe expanding around us is not the only one; we can be surrounded by billions of other universes. Perhaps our world is only a part of the Multiworld - a hypothetical set of all possible parallel universes. There are hypotheses that the universes of the Multiworld can be with different laws of physics and a different number of spatial dimensions.
Most scientists admit that the Universe has a fractal structure: planetary systems are combined into galaxies, galaxies into clusters, clusters into superclusters, and so on. Previously, scientists believed that the distribution of matter can be considered continuous, starting with objects about 200 million light years across. Data on more than 900 thousand galaxies and quasars showed that there is no continuity even at a scale of 300 million light years.
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The findings contradict the foundations of the Big Bang theory, according to which, in the first moments after the birth of the Universe, matter was distributed uniformly and continuously.
A number of scientists believe that during the time that has passed since the Big Bang, under the influence of gravity, fractal structures of a universal scale could not have time to form.
Today there is no single mathematical model or theory that can describe every aspect of the universe. The theory of infinite nesting of matter - fractal theory - is an alternative philosophical and cosmological theory that is not included in the standard academic fields of science. There is currently no theory of a fractal universe. According to the researchers, based on Einstein's theory of relativity, the creation of such a theory is possible. If academic science recognizes that matter in the Universe is distributed in the form of a fractal, it will require a revision of almost all existing models of the Universe.
Fractals embody the principle of repetition - copies that are abundant in nature. They are geometric shapes that look the same no matter how close they are. Fractal geometry is not a "pure" geometric theory. This is a concept, a new look at well-known things, a restructuring of perception, forcing the researcher to see the world in a new way.
Aristotle, Descartes and Leibniz argued that matter divides to infinity. In every particle, no matter how small it may be, "there are cities inhabited by people, cultivated fields, and the sun, moon and other stars are shining, like ours" - stated the Greek philosopher Anaxagoras in his work on homeomerism in the 5th century BC …
The sacred teachings of all ancient civilizations are permeated by the idea of the existence of a harmonious universe. The Egyptian goddess of truth and order, Maat, was the embodiment of the principle of the natural order of things. The Greeks, who studied with the Egyptians, associated the word "space" with civilization, translated as "embroidery" and expressing harmony and beauty.
Many objects and processes in the Universe have the property of "self-similarity". If we consider these objects at different scales, then the same elements are constantly found. All of them can be described in the form of mathematical equations.
The principles of sacred geometry, which are based on fractals, "Platonic solids", the Golden Ratio spiral, the Phi number, are equally inherent in humans, flowers, and stars. Everything that exists in the real world is a fractal: the circulatory system, tree crowns and leaves, clouds and an oxygen molecule.
Research related to fractals is changing the usual understanding of the world around us. Fractals force us to reconsider our views on the geometric properties of objects. Fractals describe the real world sometimes even better than traditional physics or mathematics.
We cannot describe a rock, landscape, sea surface, rock, or island boundary with straight lines, circles and triangles. This is where fractals come to our rescue.
With the help of fractals, these structures can be modeled, created, which is used in various computer programs.
When we look at a fractal shape, we see the same structure regardless of the magnification. Such a similarity can be seen in nature, looking at mountains, clouds, coastlines at different approaches. Nature is an inseparable web.
Fractal geometry is the geometry of nature. Nature itself takes advantage of its achievements and examples of this can be found everywhere: from the spirals of the shell and daisy flowers to the symmetry of the hexagonal honeycomb. "Self-similarity" can be found when examining the shapes of molecules or galaxies. All objects in the Universe interpenetrate each other.
Fractal geometry predetermines the shapes of molecules and crystals that make up our bodies and the Cosmos. In fact, it is the key to understanding the universe.
Author: Valentina Zhitanskaya