Phase Transitions Governed by the Fifth Power of the Golden Mean and Beyond - World Journal of Condensed Matter Physics

WJCMP > Vol.10 No.3, August 2020

World Journal of Condensed Matter Physics

Volume 10, Issue 3 (August 2020)

ISSN Print: 2160-6919 ISSN Online: 2160-6927

Google-based Impact Factor: 2.5 Citations h5-index & Ranking

Phase Transitions Governed by the Fifth Power of the Golden Mean and Beyond ()

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Download as PDF (Size: 1191KB) PP. 135-158

DOI: 10.4236/wjcmp.2020.103009 596 Downloads 1,884 Views Citations

Author(s)

Hans Hermann Otto

Affiliation(s)

Materials Science and Crystallography, Clausthal University of Technology, Clausthal-Zellerfeld, Lower Saxony, Germany.

ABSTRACT

In this contribution results from different disciplines of science were compared to show their intimate interweaving with each other having in common the golden ratio φ respectively its fifth power φ⁵. The research fields cover model calculations of statistical physics associated with phase transitions, the quantum probability of two particles, new physics of everything suggested by the information relativity theory (IRT) including explanations of cosmological relevance, the ε-infinity theory, superconductivity, and the Tammes problem of the largest diameter of N non-overlapping circles on the surface of a sphere with its connection to viral morphology and crystallography. Finally, Fibonacci anyons proposed for topological quantum computation (TQC) were briefly described in comparison to the recently formulated reverse Fibonacci approach using the Janičko number sequence. An architecture applicable for a quantum computer is proposed consisting of 13-step twisted microtubules similar to tubulin microtubules of living matter. Most topics point to the omnipresence of the golden mean as the numerical dominator of our world.

KEYWORDS

Golden Mean, Phase Transitions, Hard-Hexagon Respectively Hard-Square Gas Model, Quantum Probability, Information Relativity Theory (IRT), ε-Infinity Theory, Superconductivity, Tammes Problem, Viral Morphology, Helical Microtubules, Janičko Number Sequence, Topological Quantum Computation, Fibonacci Lattice, Crystallography

Share and Cite:

Otto, H. (2020) Phase Transitions Governed by the Fifth Power of the Golden Mean and Beyond. World Journal of Condensed Matter Physics, 10, 135-158. doi: 10.4236/wjcmp.2020.103009.

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