The Intrinsic Electric Dipole Moment and the "Time-Space" Intrinsic Angular Momentum
Abstract
Description
In this paper it is found that the spin four-tensor $S^{ab}$ can be decomposed into two 4-vectors, the usual ``space-space'' intrinsic angular momentum $S^{a}$ and a new one, the ``time-space'' intrinsic angular momentum $Z^{a}$, which are both equally well physical quantities. It is shown that an electric dipole moment (EDM) of a fundamental particle, as a four-dimensional geometric quantity, is determined by $Z^{a}$ and not, as generally accepted, by the spin $\mathbf{S}$. Also it is proved that neither the $T$ inversion nor the $P$ inversion are good symmetries in the 4D spacetime. In our geometric approach only the world parity $W$, $% x^{a}\to -x^{a}$, is well-defined in the 4D spacetime. The consequences for elementary particle theories and experiments that search for EDM are briefly discussed.
sections are added, the form of an antisymmetric tensor in the "r" synchronization is additionally discussed in Sec. 4, Ref. [22] is added, some minor changes in the text are made
sections are added, the form of an antisymmetric tensor in the "r" synchronization is additionally discussed in Sec. 4, Ref. [22] is added, some minor changes in the text are made