标题： 统一规范相互作用的模型 显示英文标题

标题： A Model of Unified Gauge Interactions

摘要： 线性旋量场是对 Dirac 场的一种推广，它与已知的费米子物理有直接对应关系，在其最基本的构造中具有固有的因果性质，并且所有粒子类型都具有正质量本征值。 这些场的无穷小变换生成元的代数直接构建了闵可夫斯基度规\emph{在……之内}和内部群空间，这是由于携带时空指标的生成元之间非零的对易关系。 此外，生成元具有一个基本的矩阵表示形式，该表示形式在一个统一的群中包含了洛伦兹变换，这个群统一了由 SU(3)$\times$SU(2)$\times$U(1) 的一组厄米特生成元生成的内部规范对称性，而没有其他内容。 线性独立的内部 SU(3) 和 SU(2) 对称群的构造必然涉及质量本征态三代之间的混合，这些本征态标记了线性旋量场的（有质量）表示。 群代数还提供了一种机制，用于动态混合具有不同“横向质量”本征值的无质量粒子，这些本征值与沿它们类光轨迹的仿射参数共轭。 为了扩展的庞加莱代数的群闭合，包含一个横向质量生成元是必要的，但对于有质量粒子的表示，其本征值必须为零。 本文将展示线性旋量场的时空群变换操作与内部规范群对称操作的统一集合。 显示英文摘要

摘要： Linear spinor fields are a generalization of the Dirac field that have direct correspondence with the known physics of fermions, inherent causality properties in their most fundamental constructions, and positive mass eigenvalues for all particle types. The algebra of the generators for infinitesimal transformations of these fields directly constructs the Minkowski metric \emph{within} the internal group space as a consequence of non-vanishing commutation relations between generators that carry space-time indexes. In addition, the generators have a fundamental matrix representation that includes Lorentz transformations within a group that unifies internal gauge symmetries generated by a set of hermitian generators for SU(3)$\times$SU(2)$\times$U(1), and nothing else. The construction of linearly independent internal SU(3) and SU(2) symmetry groups necessarily involves the mixing of three generations of the mass eigenstates labeling the (massive) representations of the linear spinor fields. The group algebra also provides a mechanism for the dynamic mixing of massless particles of differing "transverse mass" eigenvalues conjugate to the affine parameter labeling translations along their light-like trajectories. The inclusion of a transverse mass generator is necessary for group closure of the extended Poincare algebra, but its eigenvalue must vanish for massive particle representations. A unified set of space-time group transformation operations along with internal gauge group symmetry operations for linear spinor fields will be demonstrated in this paper.