When I stumbled upon category theory during my doctoral years (around 2015), I had sensed something extra-ordinary about it. But it was only in the last few months after glancing through works of Bohm, Sheldrake and others as mentioned in the Galileo commission report i suddenly had an aha moment (which are nothing but some sort of intuitive flashes of understanding) that Category theory potentially is the mathematics that underlies a Science with an enlarged or altered set of background assumptions and wider methodological principles. It is what Galileo commission calls as a more enlightened or post-materialist or spiritually-informed Science 3 in its report. By acknowledging consciousness in its own reality – without presuming any idealist or dualist ontology, but simply taking it as fundamental together with matter – one opens up a separate route to understanding through radical or direct introspection. It leads to a science where consciousness will have its own access route to