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.
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