Abstract

What is the dynamics underlying the constitution of a new form? Reconsidering the original Deleuzian-Guattarian idea of singular becoming and using contemporary instruments of geometric analysis, we introduce the concept of “differential heterogenesis” as a mathematical framework to envisage the emergence of singular forms from the assemblages of heterogeneous operators. In opposition to the kind of differential calculus that is usually adopted in mathematical-physics, which tends to assume a homogeneous differential equation applied to an entire homogeneous region, heterogenesis allows differential constraints of qualitatively different kinds in different points of space and time. We will discuss the impact of this approach to the individuation of living, perceptual, semiotic and ecological forms.