Arrow of time in generalized quantum theory and its classical limit   dynamics
  In this paper we have studied a generalized quantum theory and its consistent classical limit, which possess a well-defined arrow of time in their dynamics. The original quantum theory is defined as analytically dependent on complex time and specified by non-Hermitian Hamiltonian structure. 
V.V. Asadov, O.V. Kechkin (Moscow State Univ., NeurOK)