  General features of microscopic and macroscopic chiral structures can be
discussed under the standard of orthogonal group theory. Configuration space of
systems, not physical space, is taken into account. This change of perspective
allows to overcome traditional shortcomings related to true and false
chirality, statistical realization of mirror images, classification of objects
as more or less chiral. From this viewpoint, a chiral object is a physical
system whose configurations are described by the O(N) algebra in an abstract
N-dimensional space. A quantum mechanical interpretation is straightforward due
to the fact that combinations of chiral states give rise to parity states which
can be interpreted as energy eigenstates.
