Response to Twitter Question: Quasicrystals’ Imprint on Reality

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A Twitter user asked us, "if the quasicrystals are fractal and fundamental, wouldn't they leave an imprint on many levels of reality?"   Response by Klee: They do leave an imprint on physical reality. For example, the universe may have icosahedral symmetry.

Solid-state physics provides evidence of golden ratio values related to the E8 lattice.

The golden ratio is a fundamental signature of quasicrystals found in nature whether that be 1-D, 2-D or 3-D.

Quantum mechanics has a fundamental relationship to the golden ratio as shown in the work of Lucien Hardy of the Perimeter Institute.

All of chemistry can be understood by all the understanding of the simplest atom, hydrogen. The work of Herovska, Suresh and Koga showed how the golden ratio is fundamentally related to the hydrogen atom.

Check out this presentation regarding the quasicrystalline nature of consciousness in the universe - it has more specific references to some of the above statements:

Late Night Discoveries

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By Fang Fang. October 18, 2016.

A few years ago I discovered that the dihedral angle of the 600-cell is exactly the same as the relative face rotational angle in the 20-group twist. When I told Klee about this, he had the intuition that this relationship cannot be simply a coincidence. He conjectured that there should be an inverse relationship between the curvature in the 600-cell (which is on a 3-sphere) and the twisting angle in the 20-group twist because they both encode the geometric frustration in the regular tetrahedral packing.

Klee has been very persistent on his conjecture although various scientists, both in and out of our group, have tried but not been able to prove it. Continue reading “Late Night Discoveries” »