Proof of anticommutation between exchange and charge conjugation

We prove anticommutation between the exchange and charge conjugation of Lorenz invariant bispinors by raising the Lorenz symmetry to $SO(3N,N)$ and lowering it back to $SO(3,1)$. This finding contradicts one of the foundations of the spin--statistics theorem and the exclusion principle for antimatter. An experimental confirmation of the present theory will open up a path to solve the paradox of the matter--antimatter asymmetry of the universe in a quantum electrodynamics framework. The antimatter universe will be unstable owing to the lack of degeneracy pressure.