作为以太激发的标准模型费米子
The Standard Model fermions as excitations of an ether
摘要：
提出了三维复杂外丛$C \otimes Λ(R^3)$作为狄拉克费米子电弱偶线的几何解释。这个丛上的狄拉克方程允许在三维标量复晶格场$C(Z^3)$上交错离散。三维仿射群$Aff(3)$被提出作为三代定义的矩阵的几何解释，每代中有三个夸克偶和一个轻子偶。相应的晶格空间$(Aff(3) \otimes C)(Z^3)$允许一个简单的凝聚态（醚）的解释。给出了基于正则量子化构造反对易费米子算符的一种可能性。定义了规范作用量的一组公理，使得SM规范群$SU(3)_c x SU(2)_L x U(1)_{Y}$的规范作用量是最大可能的规范作用量。这包括保持欧几里德对称性和辛结构，反常自由，基态中性，以及在晶格上实现的可能性。强相互作用被实现为类Wilson规范场，弱规范场被实现为描述晶格形变的有效规范场，而电磁场被实现为上述类型的组合。一些可能性来解释质量参数的定性特征进行了讨论。
英文摘要：
The three-dimensional complexified exteriour bundle $C \otimes Λ(R^3)$ is proposed as a geometric interpretation of electroweak doublets of Dirac fermions. The Dirac equation on this bundle allows a staggered discretization on a three-dimensional scalar complex lattice field $C(Z^3)$. The three-dimensional affine group $Aff(3)$ is proposed as a geometric interpretation for the matrix defined by the three generations, with the three quark doublets and a lepton doublet in each generation. The corresponding lattice space $(Aff(3) \otimes C)(Z^3)$ allows a simple condensed matter (ether) interpretation. A possibility to construct anticommuting fermion operators based on canonical quantization is given. A set of axioms of the gauge action is defined such that the gauge action of the SM gauge group $SU(3)_c x SU(2)_L x U(1)_{Y}$ is the maximal possible one. This includes preservation of Euclidean symmetry and the symplectic structure, anomaly freedom, ground state neutrality, and the possibility of realization on the lattice. Strong interactions are realized as Wilson-like gauge fields, weak gauge fields as effective gauge fields describing lattice deformations, and the EM field as a combination of above types. Some possibilities to explain the qualitative characteristics of the mass parameters are discussed.
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