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Unit for Advanced Study, University of Pretoria, Lynnwood Road, Pretoria, South Africa





Abstract The self-similar symmetry that occurs between atomic nuclei, biological growth structures, the solar system, globular clusters and spiral galaxies suggests that a similar pattern should characterize atomic and molecular structures. This possibility is explored in terms of the current molecular structure-hypothesis and its extension into four-dimensional space-time. It is concluded that a quantum molecule only has structure in four dimensions and that classical Newtonian structure, which occurs in three dimensions, cannot be simulated by quantum-chemical computation. View Full-Text

Keywords: molecular shape; self-similarity; golden mean; logarithmic spiral; hypercomplex number; quaternion; general covalence; fibonacci phyllotaxis; solar system; atomic structure; quantum potential; space-time topology molecular shape; self-similarity; golden mean; logarithmic spiral; hypercomplex number; quaternion; general covalence; fibonacci phyllotaxis; solar system; atomic structure; quantum potential; space-time topology





Autor: Jan C. A. Boeyens

Fuente: http://mdpi.com/



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