| << Previous [1] 2 3 4 5 ...41 Next >> |
Properties of superstrings
#1 Sacred geometries embody the 240 non-zero roots of E8
The lowest Tree in any set of overlapping Trees of Life consists of 19 triangles. When their 57 sectors are turned into tetractyses, they contain 251 yods. Therefore, starting with the 11 corners of the 19 triangles, the transformation of these triangles requires 240 more yods.
The inner Tree of Life consists of two sets of seven enfolded polygons. When separated and their 48 sectors turned into tetractyses, each set has 240 hexagonal yods, i.e., 240 more yods are needed to turn the sectors into tetractyses.
240 points, lines & triangles surround the centre of the 2-dimensional Sri Yantra. This is the number of vertices & edges of the 120 triangular faces of the disdyakis triacontahedron that surround an axis passing through two diametrically opposite vertices. When its faces and the triangles inside it formed by its vertices and centre are divided into their sectors, 2400 (=240×10) corners, sides & triangular sectors surround an axis.
The number 240 is a parameter of all holistic systems possessing sacred geometry. It manifests in the E8×E8 heterotic superstring as the 240 gauge charges corresponding to the 240 roots of the rank-8 Lie group E8. They correspond to its 240 non-zero roots and are represented by 240 vectors in an 8-dimensional vector space, their coordinates along each axis forming an 8-tuple:
(see also here). As explained in the following pages, these 240 gauge charges of E8 are distributed, 24 charges per whorl, in the ten whorls of the UPA — the subquark state of the E8×E8 heterotic superstring. This important conclusion is supported by the fact (proven in Article 53) that certain sacred-geometrical objects exhibit a 10-fold division of their geometrical or yod composition. The 10-fold nature of the UPA is the microscopic manifestation of this division that is characteristic of sacred geometries.
| << Previous [1] 2 3 4 5 ...41 Next >> |
