The Skasis Paradigm, displayed on a projector screen. (TV: School Reunion)
The Skasis Paradigm (also known as the God Maker or the Universal Theory) was the key behind the way the universe worked. Anyone who cracked the paradigm would be able to control the very building blocks of time, space and universal matter.
The Krillitanes took over Deffry Vale High School to crack the paradigm. Mr Finch believed that if he could crack the paradigm he would be able to redo all of reality and improve it.
Unfortunately for him, the Skasis Paradigm did not just require computational power to crack it. It also needed imagination. That was why the Krillitanes were using the Krillitane oil to enhance the children of the school, since they had the imagination needed to crack the Paradigm. (TV: School Reunion)