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We show that the basic equation of theory of open systems,Gorini-Kossakowski-Sudarshan-Lindblad equation, as well as its linear andnonlinear generalizations have a natural classical probabilistic interpretation- in the framework of prequantum classical statistical field theory. The lattergives an example of a classical probabilistic model (with random fields assubquantum variables) reproducing the basic probabilistic predictions ofquantum mechanics.

Classical random field viewpoint to Gorini-Kossakowski-Sudarshan-Lindblad equation and its linear and nonlinear generalizations