An E₈ E₈ Unification of the Standard Model with Pre-Gravitation, on an Exceptional Lie algebra - Valued Space

We propose an E₈ E₈ unification of the standard model with pre-gravitation, on an exceptional Lie algebra-valued space. Each of the E₈ has in its branching an SU (3) for space-time and an SU (3) for three fermion generations. The first E₈ further branches to the standard model SU (3) c SU (2) L U (1) Y and describes the gauge bosons, Higgs and the left chiral fermions of the standard model. The second E₈ further branches into a right-handed counterpart (pre-gravitation) SU (3) ₆ₑ₀ₕ SU (2) R U (1) g of the standard model, and describes right chiral fermions, a Higgs, and twelve gauge bosons associated with pre-gravitation, from which general relativity is emergent. We account for 208 out of the 496 degrees of freedom of E₈ E₈ and propose an interpretation for the remaining 288, motivated by the trace dynamics Lagrangian of our theory. We explain how the two copies of SU (3) ₒ₏₀₂₄ₓ₈₌₄ together give rise to a 6D spacetime with signature (3, 3) which upon symmetry breaking gives rise to our 4D spacetime and to a second 4D anti-spacetime with flipped signature.