Abstract
The article, firstly, draws attention to the need to develop new foundations of fundamental physics, secondly, it is noted that this must be done within the framework of the relational paradigm, and thirdly, this should be done on the basis of the metaphysical principles underlying the three inextricably linked with each other sections of science (physics, mathematics and philosophy) and, fourthly, the necessary mathematical apparatus suitable for this purpose is the theory of binary systems of complex relations. It is shown that this apparatus implements key metaphysical principles.
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