Version 1
: Received: 21 May 2024 / Approved: 21 May 2024 / Online: 21 May 2024 (12:52:21 CEST)
Version 2
: Received: 22 May 2024 / Approved: 22 May 2024 / Online: 23 May 2024 (08:36:04 CEST)
How to cite:
KAUSHIK, P.; VAIBHAV, V.; SINGH, T. P. An $E_8 \otimes E_8$ Unification of the Standard Model with Pre-Gravitation, on an Exceptional Lie algebra - Valued Space. Preprints2024, 2024051394. https://doi.org/10.20944/preprints202405.1394.v1
KAUSHIK, P.; VAIBHAV, V.; SINGH, T. P. An $E_8 \otimes E_8$ Unification of the Standard Model with Pre-Gravitation, on an Exceptional Lie algebra - Valued Space. Preprints 2024, 2024051394. https://doi.org/10.20944/preprints202405.1394.v1
KAUSHIK, P.; VAIBHAV, V.; SINGH, T. P. An $E_8 \otimes E_8$ Unification of the Standard Model with Pre-Gravitation, on an Exceptional Lie algebra - Valued Space. Preprints2024, 2024051394. https://doi.org/10.20944/preprints202405.1394.v1
APA Style
KAUSHIK, P., VAIBHAV, V., & SINGH, T. P. (2024). An $E_8 \otimes E_8$ Unification of the Standard Model with Pre-Gravitation, on an Exceptional Lie algebra - Valued Space. Preprints. https://doi.org/10.20944/preprints202405.1394.v1
Chicago/Turabian Style
KAUSHIK, P., VATSALYA VAIBHAV and TEJINDER PAL SINGH. 2024 "An $E_8 \otimes E_8$ Unification of the Standard Model with Pre-Gravitation, on an Exceptional Lie algebra - Valued Space" Preprints. https://doi.org/10.20944/preprints202405.1394.v1
Abstract
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\abstract{We propose an $E_8 \otimes E_8$ unification of the standard model with pre-gravitation, on an exceptional Lie algebra-valued space . Each of the $E_8$ has in its branching an $SU(3)$ for space-time and an $SU(3)$ for three fermion generations. The first $E_8$ further branches to the standard model $SU(3)_c \otimes SU(2)_L \otimes U(1)_Y$ and describes the gauge bosons, Higgs and the left chiral fermions of the standard model. The second $E_8$ further branches into a right-handed counterpart (pre-gravitation) $SU(3)_{grav}\otimes SU(2)_R \otimes U(1)_g$ 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 $E_8 \otimes E_8$ and propose an interpretation for the remaining 288, motivated by the trace dynamics Lagrangian of our theory. We explain how the two copies of $SU(3)_{spacetime}$ 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.
Keywords
unification; exceptional Lie groups; octonions; exceptional Jordan algebra; standard model; gravitation
Subject
Physical Sciences, Particle and Field Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
