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Article

Complete Quantum Information in the DNA Genetic Code

1
Institut FEMTO-ST CNRS UMR 6174, Université de Bourgogne/Franche-Comté, 15 B Avenue des Montboucons, F-25044 Besançon, France
2
Quantum Gravity Research, Los Angeles, CA 90290, USA
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(12), 1993; https://doi.org/10.3390/sym12121993
Received: 7 November 2020 / Revised: 18 November 2020 / Accepted: 1 December 2020 / Published: 2 December 2020
(This article belongs to the Special Issue Emergent Order Parameters in Complex Biophysical Systems)
We find that the degeneracies and many peculiarities of the DNA genetic code may be described thanks to two closely related (fivefold symmetric) finite groups. The first group has signature G=Z5H where H=Z2.S42O is isomorphic to the binary octahedral group 2O and S4 is the symmetric group on four letters/bases. The second group has signature G=Z5GL(2,3) and points out a threefold symmetry of base pairings. For those groups, the representations for the 22 conjugacy classes of G are in one-to-one correspondence with the multiplets encoding the proteinogenic amino acids. Additionally, most of the 22 characters of G attached to those representations are informationally complete. The biological meaning of these coincidences is discussed. View Full-Text
Keywords: DNA genetic code; informationally complete characters; finite groups; hyperelliptic curve DNA genetic code; informationally complete characters; finite groups; hyperelliptic curve
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MDPI and ACS Style

Planat, M.; Aschheim, R.; Amaral, M.M.; Fang, F.; Irwin, K. Complete Quantum Information in the DNA Genetic Code. Symmetry 2020, 12, 1993. https://doi.org/10.3390/sym12121993

AMA Style

Planat M, Aschheim R, Amaral MM, Fang F, Irwin K. Complete Quantum Information in the DNA Genetic Code. Symmetry. 2020; 12(12):1993. https://doi.org/10.3390/sym12121993

Chicago/Turabian Style

Planat, Michel, Raymond Aschheim, Marcelo M. Amaral, Fang Fang, and Klee Irwin. 2020. "Complete Quantum Information in the DNA Genetic Code" Symmetry 12, no. 12: 1993. https://doi.org/10.3390/sym12121993

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