  Wave-particle duality is one of the fundamental properties of matter and at
the same time, one of the mysteries of modern physics. In this paper, we
propose and analyze a new interpretation of the wave-particle duality, and
propose a new rule that relates the corpuscular and wave properties of quantum
particles, and replaces the Born's rule. We introduce a new representation
about quantum particles as temporary objects that are born permanently in a
wave field and spontaneously decayed due to their "instability". Thus, we fill
with the physical meaning the standard notions of "creation" and "annihilation"
of the particles, used in the second quantization formalism. We show that the
traditional probabilistic interpretation of quantum mechanics in the form of
the Born's rule is an approximate consequence of the proposed theory. The
proposed theory allows explaining the indistinguishability of quantum particles
and shows meaninglessness of the concept of their trajectories. We give an
explanation of the Heisenberg uncertainty principle within the limits of this
theory in terms of classical physics that allows us to return to an objective
understanding of the measurement process and do not consider it as a compulsory
part of the physical process.
