Kerr’s multi-particle solution is obtained on the base of the Kerr theorem. Choosing generating function of the Kerr theorem as a product of partial functions for spinning particles i=1,…k, we obtain a multi-sheeted, multi-twistorial space-time over 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.

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