DNA as Topological Quantum Computer: Part I

Abstract

This is the first part of the article representing a vision about how DNA might act as a topological quantum computer (tqc). Tqc means that the braidings of braid strands define tqc programs and M-matrix (generalization of S-matrix in zero energy ontology) defining the entanglement between states assignable to the end points of strands define the tqc usually coded as unitary time evolution for Schrodinger equation. Before a representation of the model of tqc general vision about what happens in quantum jump, which at least in formal sense can be regarded as quantum computation, is represented. Included is also a section about modification of thermodynamics required by the possibility of negentropic entanglement. The modification corresponds simply to the replacement S → S – N for the entropy in standard thermodynamics. The implications of this replacement are however highly non-trivial. The generalization of the second law allows understanding the thermodynamical aspect of topological quantum computation. One can understand why living matter is so effective entropy producer as compared to inanimate matter and also the characteristic decomposition of living systems to highly negentropic and entropic parts as a consequence of generalized second law. ADP-ATP process of metabolism provides a concrete application for the generalized thermodynamics and allows seeing this process as a transfer of negentropic entanglement. Also DNA double strand for which sugar-phosphate backbone consists of XMPs, X= A,T,C,G containing negentropy carrying phosphate bonds can be seen as analogous to conscious brain with DNA strands representing right and left hemispheres.