We propose an approach that makes it possible to narrow the gap between the macro- and micro-descriptions of nature (i. e., between thermodynamics and quantum mechanics). This approach is based on introducing the quantum-thermostat model in the form of cold and thermal vacuums. In this case we start from our previously developed microdescription in the form of (h{stroke}, k) dynamics instead of the standard quantum mechanics. It is based on using the complex wave function of vacuum. We emphasize the universal role of the stochastic environmental influence in the appearance of correlations between the fluctuations of conjugate parameters on micro- and macrolevels at any temperatures. © 2012 Pleiades Publishing, Ltd.