Cluster partition function and invariants of 3-manifolds

Romo, Mauricio

doi:10.1007/s11401-017-1105-6

Cited by 2 publications

(1 citation statement)

References 56 publications

(149 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Chern-Simons supercurrent [30] is a potential field of life free energy in the canonical form of genotype. It is a new definition of gene partition function [31] Z t in the form of modified Wilson loop of the gene behavior field. We derive curvature by the normalized curvature of unit circle.…”

Section: Introductionmentioning

confidence: 99%

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

Capozziello

Pinčák

2018

Annals of Physics

View full text Add to dashboard Cite

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 E8×E8 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.

show abstract

Section: Introductionmentioning

confidence: 99%