弯曲时空Dirac方程（II）的轻子产生问题、性质及其意义
Lepton Generation Problem, Some Properties and Implications of the Curved Spacetime Dirac Equation -- (II)
摘要：
这一解读是早先解读Nyambuya（2008年）的延续;其中三个新的弯曲时空狄拉克方程已经推导出来，主要是试图以一种自然的方式来解释所观察到的费米子的异常旋磁比，并且建议包括电子在内的粒子，被认为是一个点粒子，确实具有有限的空间尺寸，这是观测到异常旋磁比的原因之一。结合Nyambuya（2008）中的想法，导致三个新的弯曲时空狄拉克方程的推导，以及所提出的统一场论（Nyambuya 2007），总共产生了12个方程，每个方程有16个子分量，从而导致弯曲时空狄拉克方程的总共192个方程。研究了这些方程的一些对称性，即，洛伦兹对称性、电荷共轭对称性（C）、时间反转对称性（T）、空间反转（P）以及C、P和T对称性的组合。结果表明，这些方程是Lorentz不变量的，服从C-对称性，有些方程违反T和P-对称性，有些方程不违反T和P-对称性，它们都服从PT-对称性。这些对称性表明（或者谦虚地说-似乎暗示）反粒子具有正的质量和能量，但具有负的静止质量和相反的电荷符号。通过对这些对称性的考察，（在这里）提出了一个建议，即粒子的静止质量必须与该粒子的电子电荷有关，从而使我们对中微子是否具有非零静止质量有一个可能的解决方案。此外，我们还证明了这些方程具有自然地解释所观察到的轻子产生现象的潜力。
英文摘要：
This reading is a continuation of the earlier reading Nyambuya (2008); where three new Curved Spacetime Dirac Equations have been derived mainly to try and account in a natural way for the observed anomalous gyromagnetic ratio of fermions and the suggestions is that particles including the Electron, which is thought to be a point particle, do have a finite spatial size and this is one of the reasons for the observed anomalous gyromagnetic ratio. Combining the idea in Nyambuya (2008) which lead to the derivation of the three new Curved Spacetime Dirac Equations, and the proposed Unified Field Theory (Nyambuya 2007), a total of 12 equations each with 16 sub-components are generated thus leading to a total of 192 equations for the Curved Spacetime Dirac Equation. Some symmetries of these equations are investigated, i.e., the Lorentz symmetry, charge conjugation symmetry (C), time reversal symmetry (T), Space reversal (P) and a combination of the C, P and T - symmetries. It is shown that these equations are Lorentz invariant, obey C-symmetry and that some violate T and P-symmetry while others do not and that they all obey PT-symmetry. These symmetries show (or modestly said -- seem to suggest) that anti-particles have positive mass and energy but a negative rest-mass and the opposite sign in electronic charge. Through the inspection of these symmetries, a suggestion is (here) made to the effect that the rest-mass of a particle must be related to the electronic charge of that particle thus leading us to a possible resolution of whether or not Neutrinos do have a none-zero rest-mass. Additionally, we demonstrate that these equations have the potency to explain naturally the observed lepton generation phenomena.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
