Category theory and consciousness

We propose a new research program which provides an approach to consciousness and the t problem ofdeep reality. Our model is based on category theory. The need to t relate l t local l behavior to global behavior has convinced us early on that a good model l for conscious entities had to be found in the notion of sheaf. With t this t i formulation, f l ti , every presheaf represents a brain (orr conscious entity). An important rtant aspect t of the theory we will develop is the notion of sheafification of a presheaf which i will ill allow us to include complementarity as part of the description of the t universe. i . OUf model is intended to describe a notion of consciousness which is i pervasive throughout the universe and not localized in individual conscious entities. i i . At the same time, we will provide a way of describing how consciousness can arise i from fr non-consciousness; it has always been a major problem to understand how it it is i possible i that the fundamental components of a brain are in fact non-conscious, i ,