Mathematical Physics

    

Mother Nature and the 32 Crystal Classes

Authors: Giuliano Bettini

Starting from the 32 crystal classes, we find a complete classification scheme of the same with 5 bits. That's not simply reorganization, that's philosophy. The Nature follows a repetitive sequence. The repetitive sequence I consider is the whole 3-bit sequence 000, 00c, 0m0, 0mc, 200, 20c, 2m0, 2mc. The protagonist of this novel, Mother Nature, is so satisfied with this sequence, or with this physical behavior, that she repeats it 4 times. She does it with an additional 4 axis. Then she does it again with axis 3. And finally with a combination of axes 2 and 3, parallel or askew. I write everything as a novel, and try to replace the entire sequence of Hermann Mauguin and Schoenflies symbols too, with ad hoc symbols. Mathematical proofs are inside.

Comments: 45 Pages. [Corrections are made by viXra Admin to comply with the rules of viXra.org]

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[v1] 2021-07-23 19:02:03

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