“真变换相对论”与电动力学
"True Transformations Relativity" and Electrodynamics
摘要：
讨论了狭义相对论的不同研究方法。第一种方法是不变方法，其中四维时空中的物理量由真张量或等效地由包括分量和基的基于坐标的几何量表示。这种方法我们称之为“真变换（TT）相对论”。它与通常的协变方法作了比较，后者主要处理真张量的基分量。第三种方法是通常的非协变方法，其中一些量不是张量，而是来自“3 + 1”空间和时间的量，例如，同步确定的空间长度。这个公式被称为“视变换（AT）”相对论。时空长度在TT相对论中被考虑，时空距离在AT相对论中被考虑。还发现电场和磁场的三矢量$\QTR{bf}{E}$和$\QTR{bf}{B}$的通常变换是AT。具有$F^{ab}$的麦克斯韦方程组用电场$E^{a}$和磁场$B^{a}$的4矢量表示。利用四矢量$E^{a}$和$B^{a}$构造了协变Majorana电磁场四矢量$Ψ^{a}$，并给出了电动力学的协变Majorana公式.得到了自由光子的类狄拉克相对论波动方程。
英文摘要：
Different approaches to special relativity (SR) are discussed. The first approach is an invariant approach in which physical quantities in the four-dimensional spacetime are represented by true tensors or equivalently by coordinate-based geometric quantities comprising both components and a basis. This approach we call the ''true transformations (TT) relativity.'' It is compared with the usual covariant approach, which mainly deals with the basis components of true tensors. The third approach is the usual noncovariant approach to SR in which some quantities are not tensor quantities, but rather quantities from ''3+1'' space and time, e.g., the synchronously determined spatial length. This formulation is called the ''apparent transformations (AT)\ relativity.'' The spacetime length is considered in the ''TT relativity'' and spatial and temporal distances in the ''AT relativity.'' It is also found that the usual transformations of the three-vectors of the electric and magnetic fields $\QTR{bf}{E}$ and $\QTR{bf}{B}$ are the AT. The Maxwell equations with $F^{ab}$ are written in terms of the 4-vectors of the electric $E^{a}$ and magnetic $B^{a}$ fields. The covariant Majorana electromagnetic field 4-vector $Ψ^{a}$ is constructed by means of 4-vectors $E^{a}$ and $B^{a}$ and the covariant Majorana formulation of electrodynamics is presented. A Dirac like relativistic wave equation for the free photon is obtained.
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