ABSTRACT
All previous chapters of this book were devoted to the development
of the theory of classical (prequantum) random fields reproducing
quantum averages (including correlations for entangled systems)
as averages of quadratic forms of fields. Since the basic model of
prequantum fields is the Gaussian one, these fields are continuous.
Hence, in the same way as in the classical signal theory, averages
are calculated for variables with a continuous range of values. This model, PCSFT, is really a prequantum model. In accordance with the Bohr’s viewpoint, we consider QM as an operational formalism
describing (predicting) results of measurements on microsystems.
QM cannot describe intrinsic physical processes in the microworld,
but onlymeasurements performed bymacroscopic classical devices.
In contrast, PCSFT describes intrinsic processes in the microworld.
However, it does not describe results of measurements on the
level of individual events, clicks of detectors. As we pointed in Section 1.1.8, in principle one might be satisfied with creation of
a prequantum model which reproduces only quantum probabilistic
predictions, i.e., without establishing a direct connectionwith theory
of measurement on the level of individual events. This approach
would match with views of Schro¨dinger and the Bild concept in
general. However, historical development of QM demonstrated that
the Bild concept was not attractive for the majority of physicists.
Since the experimental verification is considered as the basic
counterpart of any physical theory, Bild-like prequantum theories
are considered as metaphysical. Measurement theory connecting
PCSFT with experiment on the level of individual events was
developed in my paper [211] (see also Refs. [209, 210, 212, 213]).
In this paper I elaborated a scheme of discrete measurements of
classical random signals which reproduces the basic rule of QM,
the Born’s rule. This is the scheme of threshold-type detection: such a detector clicks after it has “eaten” a special portion of energy
