We developed the theory of superalgebraic spinors, which is based on the use of Grassmann densities and derivatives with respect to them in a pseudo- continuous space of momenta. The algebra that they form corresponds to the algebra of second quantization of fermions. We have con-structed a vacuum state vector and have shown that it is symmetric with respect to $P$, $CT$ and $CP T$ transformations. Operators $C$ and $T$ transforms the vacuum into an alternative one. Therefore, time inversion $T$ and charge conjugation $C$ cannot be exact symmetries of the spinors.
Digital Object Identifier: 10.7546/giq-22-2021-165-187