A Nonlinear Unitary Framework for Quantum State Reduction: a phenomenological approach

A nonlinear self-adjoint operator on a two-dimensional Hilbert space is constructed to force a quantum state, composed of two orthogonal states through linear superposition, into one of these two alternatives (reduction). Associated with this is a bifurcation-process of a collapsing statevector at the site of two detectors: since there are no discernible experiments for nonunitary schemes of quantum state reduction, this paper provides an implicit nonlinear dynamics of a collapse on a certain time interval, without rejecting unitarity. Set against a large number of explicit reductionproposals in the literature, the present framework should be viewed as a phenomenological nonlinear unitary scheme that might simulate randomness in quantum physics; hence the notion of quantumprobability appears less inaccessible. So, this essay addresses essential problems of epistemology in quantum physics .