Fibonacci and Lucas numbers: The golden ratio in science

Guest Editor: Tidjani Négadi

Dear Colleague,

The objective of this Special Issue is to arouse, we hope, an interest among researchers, from all branches of science, whose work is connected to Fibonacci and the closely related Lucas numbers as well as to the marvel of mathematics, the golden ratio. The occurrence of these superb mathematical objects is seen in many recent works. They are of considerable importance and interest to a large number of researchers from physics, quantum physics, general relativity, astrophysics, astronomy, chemistry, biology, architecture and so on. In quantum physics, for example, there are numerous appearances of the golden ratio (and also Fibonacci numbers) in recent works as in nonlinear photonic crystals, in quasi–one-dimensional Ising ferromagnetism, non-Abelian Fibonacci anyons and many other areas as atomic physics, chaos, superconductivity, astrophysics, black holes. In biology, too, these appearances are not left out, at all. Fibonacci’s numbers and the associated golden ratio appeared recently in several new additions inspiring and encouraging, we hope, the submission of new ones in this Special Issue. As a matter of fact, it has been established a connection between nucleotides frequencies in human single stranded DNA and Fibonacci numbers. (Other intersting works in genomics have found similar occurrences.) Fibonacci numbers have also been found to appear abundantly in the four ribonucleotides, the building blocks of RNA, together with the accompanying golden ratio reflecting quite remarkable proportions of atomic species. Moreover, it has been shown that Fibonacci and Lucas numbers, together, are able to nicely disclose the correct multiplet structure of the genetic code. The scope of this Special Issue is large enough to encompass all aspects of researches in physics and biology and all other areas of science, involving the golden ratio, Fibonacci and/or Lucas numbers. We strongly encourage our colleagues, including those of our Association, ISA, who are concerned with this kind of lively research, to submit their work.
Please follow the instructions for authors ( and use the MS Word downloadable from the bottom of the page Instructions. Take special care to note: (1) the page size, margins, running heads; (2) the use of the built in styles; and (3) follow precisely the given style of references. For MS Word users, use MathType for formulas and equations.

The length of the papers may vary from 6 to 16 pages, including illustrations. Please note that the papers will be published both electronically and printed form. We can publish colour illustrations online, but we can print those illustrations in b/w only. The latter means that colours should be made distinguishable in grey-scales after conversion into b/w.

Deadline for submissions is June 26, 2022. The papers will be peer-reviewed before a decision is made on their acceptance.
Submission: Please send the manuscripts to the issue’s Editor (

Dr. Tidjani Négadi
Member of the Advisory Board (ISA)
Member of the Advisory Editors’ Board (SCS)