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Casimireffect

The Casimir effect, sometimes written as Casimireffect, is a physical manifestation of quantum vacuum fluctuations of the electromagnetic field between closely spaced boundaries. Predicted by Dutch physicist Hendrik B. G. Casimir in 1948, it arises from the modification of zero-point energy of the electromagnetic modes due to imposed boundary conditions, producing a measurable force between neutral bodies in vacuum.

In the idealized case of two perfectly conducting parallel plates of area A separated by distance d,

Beyond parallel plates, the Casimir effect depends on geometry and material properties, and remains a focus

Experimental confirmations since the late 1990s—using torsion balances, microcantilevers, and atomic-force probes—have demonstrated the existence of

the
Casimir
force
is
F
=
-
(π^2
ħ
c
A)/(240
d^4),
or
per
unit
area
F/A
=
-
(π^2
ħ
c)/(240
d^4).
The
force
is
attractive
and
becomes
stronger
as
the
separation
decreases.
Real-world
situations
involve
finite
conductivity,
temperature,
and
more
complex
geometries,
which
modify
the
prediction.
Lifshitz
theory
extends
the
calculation
to
dielectric
materials
and
includes
thermal
corrections,
while
numerical
methods
address
arbitrary
shapes.
of
theoretical
and
experimental
study.
Related
phenomena
include
the
Casimir–Polder
force
between
neutral
atoms
and
surfaces,
and
the
dynamical
Casimir
effect,
where
changing
boundary
conditions
in
time
can
generate
real
photons
from
the
vacuum.
the
Casimir
force
and
generally
agree
with
theoretical
models
within
uncertainties.
The
effect
has
implications
for
nanotechnology,
especially
in
micro-
and
nanoelectromechanical
systems
(MEMS
and
NEMS),
where
Casimir
forces
can
influence
device
operation
and
stability.