In
physics,
complementarity is a basic principle of
quantum theory closely identified with the
Copenhagen interpretation, and refers to effects such as the
wave-particle duality, in which different measurements made on a system reveal it to have either particle-like or wave-like properties.
Niels Bohr is usually associated with this concept, which he developed at
Copenhagen with
Heisenberg, as a philosophical adjunct to the recently developed mathematics of
quantum mechanics and in particular the
Heisenberg uncertainty principle; in the narrow
orthodox form, it is stated that a single quantum mechanical entity can either behave as a particle or as wave, but never simultaneously as both; that a stronger manifestation of the particle nature leads to a weaker manifestation of the wave nature and vice versa. In a broader, more philosophical vein Bohr stated:
There is no quantum world. There is only an abstract physical description. It is wrong to think that the task of physics is to find out how nature
is. Physics concerns what we can
say about nature.
[1]
The emergence of complementarity in a system occurs when one considers the circumstances under which one attempts to measure its properties; as Bohr noted, the principle of complementarity "implies the impossibility of any sharp separation between the behaviour of atomic objects and the interaction with the measuring instruments which serve to define the conditions under which the phenomena appear." It is important to distinguish, as did Bohr in his original statements, the principle of complementarity from a statement of the
uncertainty principle. For a technical discussion of contemporary issues surrounding complementarity in physics, see, e.g.,
[2] (from which parts of this discussion were drawn.)
Various
neutron interferometry experiments demonstrate the subtleness of the notions of duality and complementarity in an interesting way. By passing through the
interferometer, the
neutron appears to act as a wave. Yet upon passage, the neutron is subject to
gravitation, which one might think only particles, and not waves, are subject to. As the neutron interferometer is rotated through Earth's
gravitational field a phase change between the two arms of the interferometer can be observed, accompanied by a change in the constructive and destructive interference of the neutron waves on exit from the interferometer. Some interpretations claim that understanding the interference effect requires one to concede that a single neutron takes both paths through the interferometer at the same time; a single neutron would "be in two places at once", as it were. Since the two paths through a neutron interferometer can be as far as five to 15
cm apart, the effect is hardly microscopic. This is similar to traditional double-slit and mirror interferometer experiments where the slits (or mirrors) can be arbitrarily far apart. So, in interference and diffraction experiments, neutrons behave the same way as a photon (or an electron) of corresponding wavelength.