A Quantum Approach to the DNA Functioning

In the present work, we prime the notion that DNA is an information processing system, receiving, registering, and transferring information. In the pursuit of an inherent logic in DNA functioning, we explore the possibility that quantum logic might serve this purpose. We use the quantum formalism to describe the DNA dynamics and, as a byproduct, we obtain the DNA vacuum. The DNA vacuum, in clear analogy to the quantum vacuum, is a collection of virtual DNA bases. An essential aspect of DNA functioning is the complementarity relation R, which binds the pairs A-T, G-C, and generates the replication process. Further, in an effort to codify DNA, we introduce Gödel’s numbering for a DNA strand, assigning a specific natural number to each individual strand. This numbering allows a quantitative measure of the difference among the various DNA strands. Considering also that the four DNA bases constitute an 'alphabet', we may assume the task to examine if DNA is a 'language'.