Abstract
Fibonacci phyllotaxis is one of many examples that demonstrate the relationship of biological growth patterns with the golden mean and self-similar symmetry, also observed in scale–rotational crystal growth. An equivalent relationship of natural-number patterns with the structure and periodicity of atomic matter is demonstrated. A generalized, closed periodic law that reveals the hidden symmetry in the periodicity of atomic matter is derived and related to the variability of electronic configuration of atoms, as a function of thermodynamic conditions, to nuclear synthesis and to the DNA code. Implications on space-time structure are discussed.
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