Majorana中微子、例外Jordan代数和带电费米子的质量比
Majorana Neutrinos, Exceptional Jordan Algebra, and Mass Ratios for Charged Fermions
摘要：
我们提供的理论证据表明，中微子是马约拉纳费米子。这个证据来自于假设标准模型和超越标准模型的物理学可以通过除法代数来描述，耦合到量子动力学。我们利用除法代数方法导出了三代标准模型带电费米子的质量比。假设中微子是马约拉纳中微子，则预测的比值与观测值吻合得很好。然而，如果把中微子看作狄拉克粒子，理论计算的比值与已知值完全不一致。在文章的最后，我们讨论了统一的标准模型与引力的前景，如果假设的对称群的理论是$E_6$，如果它是假设时空是一个8D的八音子时空，与4D闵可夫斯基时空是一个涌现近似。值得注意的是，我们发现的证据表明，经典引力的前身，描述对称性$SU(3)_{grav} \times SU(2)_R \times U(1)_{grav}$是右手对应的标准模型$SU(3)_{color} \times SU(2)_L \times U(1)_Y$。
英文摘要：
We provide theoretical evidence that the neutrino is a Majorana fermion. This evidence comes from assuming that the standard model and beyond-standard-model physics can be described through division algebras, coupled to a quantum dynamics. We use the division algebras scheme to derive mass ratios for the standard model charged fermions of three generations. The predicted ratios agree well with the observed values if the neutrino is assumed to be Majorana. However, the theoretically calculated ratios completely disagree with known values if the neutrino is taken to be a Dirac particle. Towards the end of the article we discuss prospects for unification of the standard model with gravitation if the assumed symmetry group of the theory is $E_6$, and if it is assumed that space-time is an 8D octonionic space-time, with 4D Minkowski space-time being an emergent approximation. Remarkably, we find evidence that the precursor of classical gravitation, described by the symmetry $SU(3)_{grav} \times SU(2)_R \times U(1)_{grav}$ is the right-handed counterpart of the standard model $SU(3)_{color} \times SU(2)_L \times U(1)_Y$.
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