  The quantum measurement problem as was formulated by von Neumann in 1933 can
be solved by going beyond the operational quantum formalism. In our "prequantum
model" quantum systems are symbolic representations of classical random fields.
The Schr\"odinger's dynamics is a special form of the linear dynamics of
classical fields. Measurements are described as interactions of classical
fields with detectors. Discontinuity, the "collapse of the wave function", has
the trivial origin: usage of threshold type detectors. The von Neumann
projection postulate can be interpreted as the formal mathematical encoding of
the absence of coincidence detection in measurement on a single quantum system,
e.g., photon's polarization measurement. Our model, prequantum classical
statistical field theory (PCSFT), in combination with measurements by threshold
detectors satisfies the quantum restriction on coincidence detections: the
second order coherence is less than one (opposite to all known semiclassical
and classical feld models). The basic rule of quantum probability, the Born's
rule, is derived from properties of prequantum random felds interacting with
threshold type detectors. Comparison with De Broglie's views to quantum
mechanics as theory of physical waves with singularities is presented.
