Fibonacci Numbers and the Golden Ratio in Biology, Physics,\n Astrophysics, Chemistry and Technology: A Non-Exhaustive Review

2017/12/28 by Vladimir Pletser, Pletser, Vladimir · 1 citation
Biochemistry, Genetics and Molecular Biology · Materials Science · Physics and Astronomy · #11Z05 #Advanced Mathematical Theories and Applications #FOS: Physical sciences #Fractal and DNA sequence analysis #Popular Physics (physics.pop-ph) #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.1801.01369

openalex publication_date 2017/12/28 · openalex created_date 2022/08/29 · openalex updated_date 2026/07/28

Abstract

Fibonacci numbers and the golden ratio can be found in nearly all domains of\nScience, appearing when self-organization processes are at play and/or\nexpressing minimum energy configurations. Several non-exhaustive examples are\ngiven in biology (natural and artificial phyllotaxis, genetic code and DNA),\nphysics (hydrogen bonds, chaos, superconductivity), astrophysics (pulsating\nstars, black holes), chemistry (quasicrystals, protein AB models), and\ntechnology (tribology, resistors, quantum computing, quantum phase transitions,\nphotonics).\n

Citations

• A Link Between Black Holes and the Golden Ratio
• A twist on folding: Predicting optimal sequences and optimal folds of simple protein models with the hidden-force algorithm
• The thermodynamic theory of black holes
• High-Tc Superconductivity: Strong Indication of Filamentary-Chaotic Conductance and Possible Routes to Superconductivity Above Room Temperature

Cited by

• A generalized Fibonacci spiral

Related

• Fibonacci numbers and the golden ratio
• Fibonacci Expansions
• On the Fibonacci sequence and the Linear Time Invariant systems
• Balancing on the edge, the golden ratio, the Fibonacci sequence and\n their generalization
• Golden fraction in the theory of nucleation