I will discuss what PTC is and, since I am here as part of the MAD-X effort, discuss how it fits inside the MAD-X project. More importantly, how it might redirect MAD-X into a new direction. In particular, I will introduce a series of mathematical, physical and software concepts which should be in the minds of individual people ideally and, at the very least, in the collective mind of the MAD-X developers here at CERN. These concepts will include: Vertical Integration rather Horizontal Integration, Taylor Polymorphism and Normal Forms, (Symplectic) Integrations and "Fibre Structures" rather than standard (deficient) beam line definitions. My talk should clarify why a whole collection of MAD8 modules are gone, and God willing, will never be seen again. As matter of fact, I even hope that many of the present modules will fall out like rotten apples.