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According to action-at-a-distance electrodynamics, quantum nonlocal correlations between random dissipative processes have both the retarded and advanced components. In the case of their symmetry, the conditions of their interference appear, and the synchronous correlation is observed (which is ordinary case in most experiments with microscopic entanglement). In macroscopic domain, due to absorption efficiency asymmetry of the retarded and advanced components of Wheeler-Feynman field in a medium, predicted by Hoyle and Narlikar, the advanced correlation can exceed the retarded one. Therewith due to diffusion entanglement swapping the retardation and advancement can be very large. In experiments on the study of nonlocal correlations of large-scale random dissipative processes, we lean upon macroscopic entanglement equation, which relates the entropy productions in the probe-process (detector) and a source-process with both positive and negative time shift. In the mid-1990s, the first long-term experiment started with Troitsk lab setup. Experimental problem was to establish a correlation between the source-process and completely isolated from the classical local influences probe-process in the detector. The greatest nonlocal correlations are observed at extremely low frequencies (over periods of several months), which requires long-term experiments under highly stable conditions with great difficulty achieved in a usual lab. Therefore, a new experiment was launched in 2012 at the Baikal Deep Sea Neutrino Observatory. Baikal is the deepest lake in the world, and its thick and calm water layer provides good protection from the classical local influences. Although many natural random dissipative processes can be the sources, due to the principle of monogamy of quantum correlations, their number, causing a noticeable response of the detector is small. Long-term experiments have shown that random component of solar activity (intermittent variations) is the dominant source. Random components of geomagnetic activity and regional hydrometeorological activity are less pronounced (the former, however, turned out convenient for quantitative interpretation, and in combination with solar one has allowed to verify violation of the steering in equality, proving nonlocality of correlations). In all cases, the advanced correlation exceeds the retarded one. As the solar activity indexes we use the radio wave flux at different frequencies and X-ray flux. The maximal correlation is observed at frequencies corresponding to emission from the level of maximal dissipation in the solar atmosphere (upper chromosphere – lower corona, where the magneto-sound waves dissipate). The global maximum of correlation with solar activity is at the advancement of order of 100 days. By the method of causal analysis, it was proved that advanced correlations correspond to time reversed causality, which is possible only for quantum correlations of random processes in entangled states. This gives the opportunity to forecast the random processes. We have computed a number of long-term forecasting series of random components of solar and geomagnetic activity several months in advance. In the Baikal experiment, owing to the use of detectors at different horizons, it was possible, against the background of the prevailing influence of solar activity, to obtain successful forecasting series of macroturbulence in the upper layer of the lake and to detect precursors of earthquakes.