TITLE:
Phase Transitions Governed by the Fifth Power of the Golden Mean and Beyond
AUTHORS:
Hans Hermann Otto
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
JOURNAL NAME:
World Journal of Condensed Matter Physics,
Vol.10 No.3,
August
6,
2020
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.