Klee Irwin of Quantum Gravity Research discusses some geometric details about the 20-Group, a structure that is a fundamental part of the quasicrystalline spin network, our conjectured point space on which we aim to model physics.
What is so interesting about this shape, the 20-Group, for unification physics? It relates to higher dimensions, just as the mathematics of modern gravitational and particle physics does. Like a shadow, a quasicrystal is a projection of a crystal shape in one dimension to a lower dimension. The number of parallel edges, faces or volumes in the projection cannot be greater than in the higher dimensional shape. Our physics model is related to the algebra and geometry of the E8 lattice. We project it to a 4D quasicrystal made of 3D tetrahedra that are in groups of 20, which share a vertex. This 20-group in 4D also has 10 sets of parallel faces. So the importance of our 3D 20-group of tetrahedra that are golden ratio twisted in the way shown is that it maps to or encodes information of the eight dimensional E8 lattice right here in our ordinary 3D physical reality. And this, we will show, is necessary for fundamental unification physics.
