2D-string Theory of Biomolecular Bundle Space

Abstract

The Biomolecular Bundle Space is presented as a topological space with a finite group structure of size 36, DOGU. The helical patterns of 2D-strings replace vibrational patterns of 1D-strings. Possible configurations of these helical patterns form 9 distinct polyhedra, from tetrahedron to icosahedron, and the fundamental element is a pair of equilateral triangles forming the diamond simplex. These polyhedra are distributed over the 3D-branes reflecting the DOGU group structure. The two-sheet 3D-branes are a torus for the sheet having the symmetric diamond simplex, and a Klein bottle for that having the asymmetric diamond simplex. The torus brane represents the backbone structure of the nucleic acids, DNA, RNAs and the Klein bottle brane that of proteins. We present the fundamental elements of the bundle space B and its projection p to the corresponding base space X. The base space has, as a translational symmetry, congruence (mod 6). The transcription code (Genetic Tableau) is directed by the Transcription Shuttle tetrahedron, the translation code (tRNA+rRNA) by the Translation Key truncated tetrahedron, and the Rene Thom Cobordism code (Protein Space) by the entire set of 9 distinct polyhedra of the biomolecular bundle space. The relative rotational energies of the polyhedral elements of the DOGU group are calculated by the organizing centers of the Rene Thom's catastrophes. This classification provides a unified approach to analyze the relationships within the bundle space.