Introduction. Changes occurring in the nature of money in the context of globalization have long been of interest to economists. Instead, the events of recent years have shown that such changes can also be caused by profound transformations that are natural ones and subject to general physical laws. Problem Statement. Establishing the dependence of the further development of money as an economic category on the action of the second law of thermodynamics. The purpose is the analysis of scientific ideas at the junction of economics and physics (ecophysics) and their spread to the monetary sphere ,in particular considering the manifestation of monetary entropy in the process of the international monetary system. Methods. General scientific and special methods are used: analysis, synthesis, description, comparison, theoretical generalization and abstract-logical analyses. Results. This publication introduces the concept of monetary entropy as a state of chaoticization of the essence of money (entropy of money) and the monetary system as a whole. The development of monetary entropy is considered as the result of cyclical development according to the Hegelian model “thesis-antithesis-synthesis”, which allows to avoid complete chaosization of the monetary sphere due to its transition to a new level of the spiral of development. The current state of the development of money as an economic category and the international monetary system as a whole, caused by the impact of the globalization process on them, proves that they are at the stage of another transition from entropy to negentropy, which can lead to the emergence of Global Money. Conclusions. Turning to the issue of predicting the future of money, it should be noted that there is an opinion that soon money will simply become a relic of the past and disappear altogether, leaving the probable technological singularity as one of its consequences, the very liquidation (more precisely, the senselessness of existence ) of money as an economic category. One of the possibilities of the technological singularity is the emergence of a post-scarcity society in which there will be a surplus of resources and the needs of every member of society will be fully satisfied (a variant of capitalist communism, when even an unconditional basic income will appear to be an unacceptable minimum for satisfying needs, because the principle from each according to his abilities to each according to his needs will be implemented. However, the change will not happen overnight, so there will most likely be a transition period during which humanity will still use money and the concept of money will evolve rather than disappear completely.