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Although the general theory macroscopic quantum entanglement is still in its infancy, consideration of the matter in the framework of action-at-a distance electrodynamics predicts for the random dissipative processes observability of the advanced nonlocal correlations through timelike interval (that is time reversal causality, which is allowed by the quantum principle of weak causality in the uncontrolled entangled states). Moreover, action-at-a distance electrodynamics predicts that the advanced component of nonlocal correlation can exceed the retarded one. The propagation velocity for diffusion entanglement swapping through a medium can be very small. Accordingly, the retardation and advancement can be very large. In addition, if the correlation asymmetry is not too large, the third, apparent instantaneous (quasi-synchronous) correlation maximum may exist because of advanced/retarded signal interference. Such correlations were really revealed in our previous experiments with some large-scale random heliogeophysical processes as the source ones and the lab detectors as the probe ones. However, the strongest macroscopic nonlocal correlations are observed at extremely low frequencies (at periods of order of several months); therefore, the long-terms experiments, therewith under very stable conditions in the detectors, are necessary. It is difficult to achieve in a usual laboratory. To overcome this difficulty, a new experiment is conducting on the base of Baikal Deep Sea Neutrino Observatory. Baikal thick water layer is an excellent shield against any local impacts on the detectors. The Baikal experiment aims, first, study of nonlocal correlations between the electrode detectors at different horizons in the lake and spaced at 4200 km one in the land laboratory, and second, study of correlations between the detector signals and large-scale natural dissipative processes with big random components. Data were processed by the methods of spectral, correlation and causal analysis. The several annual series of measurements, obtained since 2012, demonstrated that the detector signals respond to the random heliogeophysical (global) processes and causal connection of the signals directed downwards: from the Earth surface to the Baikal floor. However, this nonlocal causal connection proved to contain considerable time reversal component, in all cases exceeding the retarded one. This excess depends on the mass of the absorbing medium separating the nonlocally correlating processes; under the conditions of this experiment, the maximum ratio of the observed time reversal and time respecting (normal) causality functions reaches 2.1. In the cases, when this ratio, on the contrary, slightly exceeds 1, the quasi-synchronous causality maximum is also observed. Therewith nonlocal nature of observed correlations has been confirmed by violation of the steering inequality with combination of solar and geomagnetic source-processes. The amount of advancement (and corresponding retardation) of the detector signal with respect to these global processes is of the order of hundreds of days, while between detectors at different horizons in the water column it is of tens of days. Next, advanced, for a time of the order of tens of days, nonlocal correlation of the detector signal with the regional source-process: the random component of hydro-thermodynamics activity (macroturbulence) in the upper layer of the lake, was revealed and the possibility of the forecast of temperature and sea current random variations on nonlocal correlations was demonstrated. An important result has been displaying of the advanced (up to 12 days) response of nonlocal correlation detector to the earthquake (clearly visible in the detector signal record without any processing). This opens up the prospect of the earthquake forecast on the new physical principle, although further confirmation in the next events is certainly needed. In the current work, we use very long, four-year (2013-2017) time series of observations with a deep-sea detector to demonstrate properties of time reversal nonlocal causal connection of its signal and natural regional processes with big random component. The large length of the series has made it possible to significantly increase the reliability of estimates of low frequency nonlocal correlations.The continuation of the Baikal experiment with expanded program is burning.