Can Quantum Theory Concepts Shed Light on Biological Evolution Processes?
457
Fig. 2 Comparison of light dispersion and life radiation. Upper left a: Dispersion of white light
to colourful pattern #. Upper right b: Simplified rooted tree of species radiation*. Low picture c:
A metagenomic representation of the tree of life**. # In https://nancywait.com/2015/01/03/fromprison-to-prism/. * In https://simple.wikipedia.org/wiki/Tree_of_life_(biology). ** L A Hug, B J
Baker, et al., Nature Microbiology 1 (2016) 16048
to Huygens-Fresnel’s principle for light waves or Feynman’s formalism for matter
waves.
In a former review paper [31] we presented musical scores defined either from
particle or nuclei mass sequences, or atomic or molecular spectral lines, or biopolymer distribution patterns, making use for these latter of de Broglie’s formula (Eq. 9a)
at body temperature and of Sternheimer’s scale invariance protocol [46]. It is these
low-frequency quasi-musical waves which we shall use by analogy with the light and
matter waves. It is to be noted that, as these ‘waves’ are just transcriptions of the very
stable nucleic-acid or protein patterns in terms of the 5 nucleotides or 22 aminoacids,
the problem of decoherence [47] does not appear on the scale of organisms’ lifetimes.
457
Fig. 2 Comparison of light dispersion and life radiation. Upper left a: Dispersion of white light
to colourful pattern #. Upper right b: Simplified rooted tree of species radiation*. Low picture c:
A metagenomic representation of the tree of life**. # In https://nancywait.com/2015/01/03/fromprison-to-prism/. * In https://simple.wikipedia.org/wiki/Tree_of_life_(biology). ** L A Hug, B J
Baker, et al., Nature Microbiology 1 (2016) 16048
to Huygens-Fresnel’s principle for light waves or Feynman’s formalism for matter
waves.
In a former review paper [31] we presented musical scores defined either from
particle or nuclei mass sequences, or atomic or molecular spectral lines, or biopolymer distribution patterns, making use for these latter of de Broglie’s formula (Eq. 9a)
at body temperature and of Sternheimer’s scale invariance protocol [46]. It is these
low-frequency quasi-musical waves which we shall use by analogy with the light and
matter waves. It is to be noted that, as these ‘waves’ are just transcriptions of the very
stable nucleic-acid or protein patterns in terms of the 5 nucleotides or 22 aminoacids,
the problem of decoherence [47] does not appear on the scale of organisms’ lifetimes.