Coherent states as consequences of keto-amino→enol-imine hydrogen bond arrangements driven by quantum uncertainty limits on amino DNA protons

Experimental and theoretical evidence supporting the Lowdin model of DNA specificity is presented. Molecular genetic measurements by the transcriptase demonstrate that time-dependent point lesions, G-C ? G'-C' and G-C ? *G-*C, are consequences of keto-amino ? enol-imine arrangement. Product enol-imine protons are shared between two sets of indistinguishable electron lone-pairs, and thus, participate in coupled quantum oscillation at frequencies of similar to 1013 s-1. Transcriptase genetic specificity is determined by components contributing to the formation of complementary hydrogen bonds, which in these cases are variable because of coupled quantum oscillations. In an interval ?t < 10-13 s, genetic specificities are measured and executed before an entanglement is created between coherent protons and the transcriptase. The ensuing entanglement causes a decoherent transition from quantum to classical, yielding a statistical ensemble of decohered enol and imine isomers that participate in TopalFresco substitution replication. Coherent states within *A-*T sites are deleted. Using approximate quantum methods for times t < similar to 100 years, the probability, P(t), of keto-amino ? enol-imine arrangement is $ {\rm P}_\rho (t) = {\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}(\gamma _\rho /\hbar )2 t2 $ where ?? is the energy shift between states. This model illustrates biological consequences of coherent states populating inherited (CAG)n repeats in human genomes. (c) 2012 Wiley Periodicals, Inc.