 Around the same years, P. Pearle (1976, 1979), and subsequently N. Gisin (1984a,b) and Diosi (1988), had developed models which accounted for the reduction process in terms of stochastic differential equations. While they were looking for a new dynamical equation offering a solution to the macro-objectification problem, they did not succeed in identifying the states to which the dynamical equation should lead. The these states were assumed to depend on the particular measurement process one was considering, leaving the program of formulating a universal dynamics accounting for the quantum properties of microscopic systems together the classical properties of macroscopic objects incomplete. In those years N. Gisin formulated subsequently an interesting argument (Gisin 1989) according to which nonlinear modifications of the Schrödinger equation in general are unacceptable, since they imply the possibility of sending superluminal signals. This argument eventually proved that only a very specific class of nonlinear (and stochastic) modifications of the Schrödinger equation is physically acceptable (Caiaffa, Smirne &amp; Bassi 2017, and references therein), the class which collapse models belong to.