  In this paper we present the un-Casimir effect, namely the study of the
Casimir energy in the presence of an unparticle component in addition to the
electromagnetic field contribution. The distinctive feature of the un-Casimir
effect is a fractalization of metallic plates. This result emerges through a
new dependence of the Casimir energy on the plate separation that scales with a
continuous power controlled by the unparticle dimension. As long as the perfect
conductor approximation is valid, we find bounds on the unparticle scale that
are independent of the effective coupling constant between the scale invariant
sector and ordinary matter. We find regions of the parameter space such that
for plate distances around $5\mu$m and larger the un-Casimir bound wins over
the other bounds.
