Unitary Structure of Palindromes in DNA

Abstract

We investigate the quantum behavior encountered in palindromes within DNA structure. In particular, we reveal the unitary structure of usual palindromic sequences found in genomic DNAs of all living organisms, using the Schwingers approach. We clearly demonstrate the role played by palindromic configurations with special emphasis on physical symmetries, in particular subsymmetries of unitary structure. We unveil the prominence of unitary structure in palindromic sequences in the sense that vitally significant information endowed within DNA could be transformed unchangeably in the process of transcription. We introduce a new symmetry relation, namely purine-purine or pyrimidine-pyrimidine symmetries (p-symmetry) in addition to the already known symmetry relation of purine-pyrimidine symmetries (pp-symmetry) given by Chargaffs rule. Therefore, important vital functions of a living organisms are protected by means of these symmetric features. It is understood that higher order palindromic sequences could be generated in terms of the basis of the highest prime numbers that make up the palindrome sequence number. We propose that violation of this unitary structure of palindromic sequences by means of our proposed symmetries leads to a mutation in DNA, which could offer a new perspective in the scientific studies on the origin and cause of mutation.