论文标题
来自复杂的Quaternion-Octonion Dirac方程的统一田间理论
A unified field theory from a complexified quaternion-octonion Dirac equation
论文作者
论文摘要
它以Cl2 Clifford代数投影仪和梯子运算符表示，它表明了Dirac方程和解决方案的基本代数结构。从中，提出了一种方案，用于通过扩大尖端代数来构建统一的场理论。制定了玩具统一的物质场模型，并使用复杂的四元组和八元来修改狄拉克方程。结果描述了一组具有让人联想到一个标准模型粒子产生的特性的费米亚场，表现出U（1）电磁，SU（2）风味和SU（3）颜色（如对称性），尽管需要进一步的探索，但SU（2）显着诱导了框架场。
It is set manifest an underlying algebraic structure of Dirac equation and solutions, in terms of Cl2 Clifford algebra projectors and ladder operators. From it, a scheme is proposed for constructing unified field theories by enlarging the pointed algebra. A toy unified matter field model is formulated, modifying Dirac equation with complex quaternions and octonions. The result describes a set of fermion fields with reminiscent properties of one standard model particle generation, exhibiting U(1) electromagnetism, SU(2) flavor and SU(3) color like symmetries, remarkably SU(2) induces frame fields, though further explorations are needed.
