Dynamics of the reduction of the statevector

A theory describing the dynamics of the reduction of the statevector is presented. A nonlinear term is added to the Schroedinger equation which causes an interaction between the superposed vectors making up the statevector. The indeterminism in quantum theory is ascribed to randomly fluctuating coefficients governing the nonlinear term. Three further investigations into the antecedents and consequences of this theory are reported. First, it is argued that there exists a relation between the nonlinear term and an antilinear operator analogous to the relation between the usual linear term and the linear Hamiltonian operator. Second, a possible mechanism for producing the randomly fluctuating coefficients is presented: it is ascribed to the complicated fluctuations of the statevector describing an apparatus. Third, the preditions of this theory are discussed for rapidly repeated experiments: remarkably, it is shown that they are identical to those of quantum theory, even when the time between experiments is comparable to the reduction time. Some experiments which can test this theory are mentioned. (Auth.)