  Kerr's multi-particle solution is obtained on the base of the Kerr theorem.
Choosing generating function of the Kerr theorem $F$ as a product of partial
functions $F_i$ for spinning particles i=1,...k, we obtain a multi-sheeted,
multi-twistorial space-time over $M^4$ possessing unusual properties.
Twistorial structures of the i-th and j-th particles do not feel each other,
forming a type of its internal space. Gravitation and electromagnetic
interaction of the particles occurs via a singular twistor line which is common
for twistorial structures of interacting particles. The obtained multi-particle
Kerr-Newman solution turns out to be `dressed' by singular twistor lines linked
to surrounding particles. We conjecture that this structure of space-time has
the relation to a stringy structure of vacuum and opens a geometrical way to
quantum gravity.
