The Chern–Simons current in time series of knots and links in proteins

A superspace model of knots and links for DNA time series data is proposed to take into account the feedback loop from docking to undocking state of protein–protein interactions. In particular, the direction of interactions between the 8 hidden states of DNA is considered. It is a $E_8\times E_8$ unified spin model where the genotype, from active and inactive side of DNA time data series, can be considered for any living organism. The mathematical model is borrowed from loop-quantum gravity and adapted to biology. It is used to derive equations for gene expression describing transitions from ground to excited states, and for the 8 coupling states between geneon and anti-geneon transposon and retrotransposon in trash DNA. Specifically, we adopt a modified Grothendieck cohomology and a modified Khovanov cohomology for biology. The result is a Chern–Simons current in $(8+3)$ extradimensions of a given unoriented supermanifold with ghost fields of protein structures. The 8 dimensions come from the 8 hidden states of spinor field of genetic code. The extradimensions come from the 3 types of principle fiber bundle in the secondary protein.