ON THE PHYSICAL INTERPRETATION OF NEGATIVE PROBABILITIES IN PRUGOVECKI EMPIRICAL-THEORY OF MEASUREMENT

We study the problem of a simultaneous measurement of incompatible obs ervables in the framework of Prugovecki's empirical theory of measurem ent (i.e., the theory where the irreducible errors in individual measu rements ought to be taken into account). We propose a solution for the main problem of this theory: negative probability distributions that arise for some states in the probabilistic description of a simultaneo us measurement. These probabilities have a meaningful frequency interp retation. However, limits of relative frequencies exist only in a gene ralized sense and this is only a chaotic oscillation from the ordinary point of view We present a measurement (i.e., a preparation and deter minative measurements) where negative and usual Kolmogorov probabiliti es might arise. We show that there are two roots of negative probabili ties: disturbance effects and the finite exactness of a measurement.