The principle of polyrepresentation is one of the
fundamental recent developments in the field of
interactive retrieval. An open problem is how to
define a framework which unifies different as-
pects of polyrepresentation and allows for their
application in several ways. Such a framework
can be of geometrical nature and it may embrace
concepts known from quantum theory. In this
short paper, we discuss by giving examples how
this framework can look like, with a focus on in-
formation objects. We further show how it can be
exploited to find a cognitive overlap of different
representations on the one hand, and to combine
different representations by means of knowledge
augmentation on the other hand. We discuss the
potential that lies within a geometrical frame-
work and motivate its further developmen
