We realize the Pareigis Hopf algebra, which encodes the monoidal structure of the category of complexes, as a universal quantum symmetry of a double point. We show that the monoidal category of corresponding equivariant quasicoherent sheaves is strongly monoidaly equivalent to the category of complexes with square zero homotopies. The latter category can be understood as homotopical models of the empty set. Therefore, the break in the universal quantum symmetry, which occurs while deforming a double point to a pair of distinct points, looks like a potential homotopical model of quantum creation of a pair of antiparticles.