论文标题

$ e_8 \ otimes e_8 $统一模型的统一,并在一个特殊的谎言代数上 - 有价值的空间

An $E_8 \otimes E_8$ Unification of the Standard Model with Pre-Gravitation, on an Exceptional Lie algebra - Valued Space

论文作者

Kaushik, Priyank, Vaibhav, Vatsalya, Singh, Tejinder P.

论文摘要

我们在特殊的代数值空间上提出了一个标准模型的$ e_8 \ otimes e_8 $统一标准模型。 $ e_8 $中的每一个都在其分支为时空的$ su(3)$和三个费米昂世代的$ su(3)$。第一个$ e_8 $进一步分支到标准型号$ su(3)_c \ otimes su(2)_l \ otimes u(1)_y $,并描述了标准模型的规范玻色子,higgs和左手吉拉尔·费米子。第二个$ e_8 $进一步分支分为右手分支(预付款)$ su(3)_ {aver} \ otimes su(2)_r \ otimes u(1)_g $ u(1)_g $ _g $,并描述右手手性费米子,higgs,a higgs us a higgs us a twelve仪表座相关的previtiatient,一般而言。在$ e_8 \ otimes e_8 $的496度自由度中,我们占208,并为其余的288提出了解释,这是由我们理论的痕迹动力学拉格朗日动机所激发的。我们解释了$ su(3)_ {spacetime} $一起产生的两份副本如何产生6D时空,并带有签名$(3,3)$,这在对称性破裂后产生了我们的4D时空,并带来了第二个4D反间隔,并带有翻转签名。

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.

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