Visible and Dark Groups of Spacetime

Abstract

A remarkable correspondence exists between lattices generated by discrete Jordan algebras and symmetries of superstrings, strongly suggesting that all known superstring theories are related and descend from a more general theory related to the Conway–Sloane transhyperbolic group. Cartan tori has visible spaces and ${G \mathord{\left/ {\vphantom {G H}} \right. \kern-0em} H}$ Cartan generators as dark builders of $G$ and determined by root lattices. ${{E}_{{10}}}$ is shown as the dark group of the visible (9 + 1) space time with the Lorentz group $O(9 + 1).$ Embedding of the higher exceptional groups will also be presented.