发表机构
Hokkaido University（北海道大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种新的公理化代数矩阵方法，从少数公理唯一推导出自然基本定律，预言八种新粒子并排除磁单极子存在。
AI 中文摘要
答案是“能”。如文献[1]（2017年9月22日，另见评论）所示，利用一种新的确定的数学公理化代数矩阵方法，所有自然基本定律都可以唯一地推导出来（其中整数环的“无零因子”公理已被推广并写成一种新的确定形式，然后基本假设所有物理量只能且只能取有理数值）。基于这种新的数学方法以及所推导场方程的C、P和T对称性，得出结论：宇宙只能以(2+1)维和(3+1)维时空来实现。此外，研究表明，直接确定的广义协变场方程（包括两类：二指标张量场和四指标张量场）的(3+1)维情形分别代表了自旋为1和自旋为2粒子的两种新的有质量双旋量场形式；而所推导方程的(2+1)维情形（包括二指标和四指标张量场）分别代表了自旋为3/2和自旋为1/2粒子的两种新的（渐近）有质量双旋量场形式。作为一个特定结果，基于所推导的电磁麦克斯韦方程组（由自旋为1粒子的双旋量场表示，包括与两种特定规范对称群形式相容的新场方程——对应于杨-米尔斯方程）的表述，得出结论：磁单极子在自然界中不可能以任何程度存在。此外，作为自然界中可能存在的唯一基本粒子，除了所有已发现的粒子外，还单独预言了八种新粒子，包括四种无电荷的右手自旋1/2费米子（两种轻子和两种夸克）、一种自旋3/2费米子，以及三种自旋1的有质量玻色子。
英文摘要
The answer is "Yes". As it has been shown in the Ref.[1] (22 Sep.2017, see also the comments), useing a new definite mathematical axiomatic-algebraic matrix approach, all the fundamental laws of nature could be derived uniquely (where the axiom of "no zero divisors" of the ring of integers has been generilzed and written in a new definite formulation, then basically assuming that all the physical quantities could only and only take the rational values). Based on this new mathematical approach along with the C, P and T symmetries of the derived field equations, it is concluded that the universe could be realized solely with the (2+1) and (3+1)-dimensional space-times. Moreover it is shown that the (3+1) dimensional cases of the directly determinated general covariant field equations (including two definite classes: a two indexes and a four indexes tensor fields), respectively, represent two new massive forms of the bispinor fields of spin-1and spin-2 particles; and the (2+1)-dimensional cases of the drived equations (including: a two indexes and a four indexes tensor fields), represent (asymptotically) two new massive forms of the bispinor fields of spin-3/2 and spin-1/2 particles, respectively. As a particular result, based on the formulation of the derived Electromagnetic Maxwell equations (representing by the bispinor fields of spin-1 particles, including new field equations - corresponding to the YangMills equations - compatible with two specified forms of the gauge symmetry groups), it has been concluded that magnetic monopoles could not exist in the nature to any extend. Furthermore, as the only elementary particles that could be existed in nature, along with the all discovered particles, eight new particles, including four charge-less right-handed spin-1/2 fermions (two leptons and two quarks), and a spin-3/2 fermion, and also three spin-1 massive bosons are also solely predicted.
CommentsRef.[1]: https://www.mdpi.com/2218-1997/3/4/67 ; That is the new edition of my Ph.D. thesis work, Russian Academy of Sciences, Moscow, Russia, 1998; that has been done and published during my research fellowships in England and Japan, 2005-2016
Journal refAnnals of the Philosophical Society of Hokkaido University,Japan, 2018-12-02
