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Rumer's transformation, in biology, as the negation, in classical logic
Author(s) -
Négadi Tidjani
Publication year - 2003
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.10602
Subject(s) - negation , noncommutative geometry , connection (principal bundle) , homogeneous space , transformation (genetics) , pure mathematics , quantum logic , group (periodic table) , transformation group , dihedral group , algebra over a field , mathematics , quantum , theoretical physics , physics , computer science , chemistry , quantum mechanics , qubit , programming language , geometry , gene , biochemistry
In this article, we make a connection between the Rumer transformation, used in the study of the genetic code‐doublets, and the negation of classic logic. A unified classification is given, relying on two Klein's 4‐groups describing the symmetries of the 16 doublets of nitrogenous bases and those of the 16 binary connectives of classic logic, both groups being subgroups of a larger noncommutative group with eight elements we identify as the dihedral group D 4 . Also, some connections with other works are briefly considered. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem, 2003