Working Paper Article Version 1 This version is not peer-reviewed

Dimensionality, Fibonacci Numbers & Quantum Physics

Version 1 : 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.

Subject Areas

Fibonacci numbers; the Golden Ratio; the Golden Mean; dimensionality; quasiparticles; anions; non-Abelian; Fibonacci; excitations; Dimensional Gate Operators

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