| Summary: | Genetic specificity information “seen by” the transcriptase is in terms of hydrogen bonded proton states, which initially are metastable amino (–NH2) and, consequently, are subjected to quantum uncertainty limits. This introduces a probability of arrangement, keto-amino → enol-imine, where product protons participate in coupled quantum oscillations at frequencies of ~ 1013 s−1 and are entangled. The enzymatic ket for the four G′-C′ coherent protons is │ψ > = α│+ − + − > + β│+ − − + > + γ│− + + − > + δ│− + − + >. Genetic specificities of superposition states are processed quantum mechanically, in an interval ∆t < < 10−13 s, causing an additional entanglement between coherent protons and transcriptase units. The input qubit at G-C sites causes base substitution, whereas coherent states within A-T sites cause deletion. Initially decohered enol and imine G′ and *C isomers are “entanglement-protected” and participate in Topal-Fresco substitution-replication which, in the 2nd round of growth, reintroduces the metastable keto-amino state. Since experimental lifetimes of metastable keto-amino states at 37 °C are ≥ ~3000 y, approximate quantum methods for small times, t < ~100 y, yield the probability, P(t), of keto-amino → enol-imine as Pρ(t) = ½ (γρ/ħ)2 t2. This approximation introduces a quantum Darwinian evolution model which (a) simulates incidence of cancer data and (b) implies insight into quantum information origins for evolutionary extinction.
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