Qualitative Operators are Simply Arrows in Category Theory

So it seems like qualitative operators being maps are very similar to arrows or functions between objects in category theory. These are the same thing as references and pointers I assume. So the equality between field access and getters and setters seems to be qualitative operators as well.

Qualitative Operators as Maps

If most qualitative operators are maps, then it would seem like some of the best qualitative operators occur in relational database systems, with foreign keys and associative tables. Also, there are map data structures in many programming languages--perhaps only used to map strings to objects when one should map objects to objects. Perhaps the best combination of these two things is the object oriented database system.

Qualitative Operators

While Qualitum Computers may not make sense (computing usually involves numbers), there seems to be research into qualitative operators. So I will do some research on qualitative operators.

Molecular/Qualitum Computers, reference material

Review of Adelman's DNA computer which solved the travelling salesman problem, and new hope of Turing machine done with molecules (a bit dated) http://www.jyi.org/volumes/volume8/issue2/features/srivastava.html

Qualitum Computers 2

I am starting to think of operators, methods, functions, subroutines, and procedures as qualitum computing. Where operators are usually in the instruction set of the computer, the others are linked at runtime into an address space, so they are numerical. There are address spaces in geography that are coordinate and label based. Maybe if computers had two dimensional memory, things get more interesting. This reminds me of Jed Donnelley's IMPACT processor, where operators are positioned on a grid: http://www.webstart.com/jed/impact.pdf

Qualitum Computer

I'm calling for research into a "Qualitum Computer." A computer used for pure, non-numeric qualitative research. Where operators and operands are not based on numbers, rather they are based on molecules or networks molecules flow through. Where energy or electricity is less important, and matter and reaction is more important. Some energy may be useful, but I'm imagining something more like enzymes and catalysts.