Fractals in Quantum Material | Fractal Patterns in Microscopic Physics
The presence of fractal patterns in nature, in the form of repeating shapes and their combinations—patterns—has been observed by humanity since ancient times. This was discussed by the ancient Greek philosophers Plato and Pythagoras, who studied these patterns and attempted to explain their meaning and order in the surrounding world.
Fractal, from the Latin fractus, is a geometric pattern that repeats itself within the same object at different sizes and scales. Thus, a fractal possesses the property of self-similarity, i.e., it consists of fragments whose structural motif repeats with changes in scale.
With the development of science, fractal patterns have been discovered not only in the macrocosm around us but also in microscopic physics, for example, in the internal structure of elementary particles. A fractal pattern has also been discovered in the structure of the proton—the particle that forms the basis of all material formations in the Universe. This discovery has led some scientists to speculate that the proton's internal structure may hold the key to unlocking the fundamental code of the Universe's structure.
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Sources:
1. http://scattering.mit.edu/team/riccar...
2. https://news.mit.edu/2019/fractal-pat...
3. https://www.sciencealert.com/for-the-...
4. https://www.nature.com/articles/s4146...