  It is shown that in fluctuation-electromagnetic phenomena (Casimir force,
Casimir friction, radiative heat generation) for a spherical nanoparticle with
a radius $R$ rotating near a surface a singular resonance can occur, near which
fluctuation-electromagnetic effects are strongly enhanced even in the presence
of dissipation in the system. The resonance takes place at the particle-surface
separation
  $ d <d_0= R[3/4\varepsilon_1''(\omega_1)\varepsilon_2''(\omega_2)]^{1/3}$
(where $\varepsilon_i''(\omega_i)$ is the imaginary part of the dielectric
function of a particle or a medium at the surface plasmon or phonon polariton
frequency $\omega_i$), when the rotation frequency $\Omega$ coincides with the
poles in the photon generation rate at $\Omega\approx \omega_1 + \omega_2$.
These poles arise due to the multiple scattering of electromagnetic waves
between the particle and the surface under the conditions of the anomalous
Doppler effect and they exist even in the presence of dissipation. For $ d
<d_0$ in the dependence on the particle rotation frequency the Casimir force
can change sign, i.e. the attraction of the particle to the surface is replaced
by the repulsion. The obtained results can be important for nanotechnology.
