%0 Journal Article %T A non-Fock fermion toy model %A Boris Tsirelson %J Mathematics %D 1999 %I arXiv %X Recent progress in mathematical theory of random processes provides us with non-Fock product systems (continuous tensor products of Hilbert spaces) used here for constructing a toy model for fermions. Some state vectors describe infinitely many particles in a finite region; the particles accumulate to a point. Electric charge can be assigned to the particles, the total charge being zero. Time dynamics is not considered yet, only kinematics (a single time instant). %U http://arxiv.org/abs/hep-th/9912031v1