  Casimir and electrostatic non-contact friction between two gold plates, and a
gold tip and a gold plate, are calculated taking into account the contribution
of the electrical double layer. It is shown that in an extreme-near field
($d<10$nm) the contribution from the electrical double layer leads to the
enhancement of non-contact friction by many orders of magnitude in comparison
to the result of the conventional theory without this contribution. Casimir and
electrostatic friction dominate for short and large separations, respectively.
The calculated electrostatic friction is in good agreement with experimental
data. The results obtained open the way to detect the Casimir friction using
Atomic Force Microscope.
