  Unitarity violations were recently proposed as a cause of objective quantum
state reduction. This complements proposals based on stochastic modifications
of Schrodinger's equation, but also differs from them in several aspects. Here,
we formalise the description of unitarity violations, and show that they
generically imply models of dynamical quantum state reduction (DQSR) driven by
colored noise. We present a formalism for exploring such models as well as a
prescription for enforcing explicit norm-preservation, and we show that the
resulting pure state dynamics is described by a modified von-Neumann Liouville
equation which in a particular limit reduces to the
Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) master equations. We additionally
show adherence to Born's rule emerging in the same limit from a physical
constraint relating fluctuating and dissipating components of the model.
