Towards a closed description of observation processes.

A closed description of observation processes must necessarily include the observer, too. In order to find a basis for such a unified description, an operator algebra is developed which enables a formal description of at least a significant majority of cognitive processes. It is found that this operator algebra, which is a noncommutative semiring of a type already known in literature, has astonishing similarities with the usual operator algebras in quantum theory. Combined with a method for the formal treatment of perspective notions, the representation scheme proposed here may open a chance for a unified description of a process itself together with the relevant cognitive processes on the observer's side. By the description of parallel-processing systems on the same basis an operational definition of 'internal time' becomes possible.