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
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