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Dimensionality, Fibonacci Numbers & Quantum Physics
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: Received: 19 February 2021 / Approved: 22 February 2021 / Online: 22 February 2021 (15:21:52 CET)
How to cite: O'Neill, C. Dimensionality, Fibonacci Numbers & Quantum Physics. Preprints 2021, 2021020482 O'Neill, C. Dimensionality, Fibonacci Numbers & Quantum Physics. Preprints 2021, 2021020482
Abstract
The importance and near ubiquity of the Golden Ratio in disciplines like chemistry and biology is well known, but only recently has it come to light in areas pertaining to the Quantum domain. By using a modified tool-kit of hyper-complex numbers (known as Dimensional Gate Operators) and numerical analysis, we uncover a connection between hyper-dimensional objects, the Fibonacci sequence and that of quasiparticles and excitations. The results show that dimensionality increases in step with the Fibonacci sequence.
Keywords
Fibonacci numbers; the Golden Ratio; the Golden Mean; dimensionality; quasiparticles; anions; non-Abelian; Fibonacci; excitations; Dimensional Gate Operators
Subject
Physical Sciences, Acoustics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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