  The question whether quantum measurements reflect some underlying objective
reality has no generally accepted answer. We show that description of such
reality is possible under natural conditions such as linearity and causality,
although in terms of moments and cumulants of finite order and without
relativistic invariance. The proposed construction of observations' probability
distribution originates from weak, noninvasive measurements, with detection
error replaced by some external finite noise. The noise allows to construct
microscopic objective reality, but remains dynamically decoupled and hence
unobservable at the macroscopic level.
