No 2 (2023)

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.

In recent years, within the framework of the relational approach to the description of space-time and physical interactions, a number of studies have been carried out to substantiate the observed cosmological effects. In particular, it has been shown that the cosmological redshift described by the linear part of the Hubble law and the cosmic microwave background can be the result of contributions from emitted but not absorbed electromagnetic radiation. To describe the nonlinear part of the Hubble law, a logarithmic coordinate transformation was used, associated with the existence of a limiting observed distance, expressed by the gravitational radius of the observable Universe. The use of such a transformation must be justified by showing how it can be obtained in the derivation of space-time concepts for a system of a large number of emitters and absorbers. The article provides this rationale: it is shown that when deriving classical distances in the relational approach, there are two possibilities for determining the distance scale, they correspond to the scales of comoving and proper distances in cosmology, while the scale factor is expressed through the partition function of the configurations of emitters and absorbers.

The special representation of quantum mechanics suggested by Wiener is studied, the wave function being considered as Gaussian random variable, i. e. the vector of the random Hilbert space. The connection between this representation and the well-known Einstein’s program aiming at creating the consistent field formulation of particle physics is revealed, with particles being represented as solitons, clots of some material field satisfying nonlinear equations.

Incomparably more often, the nucleus of an atom decays earlier, and the proton continues to exist, but in extremely rare cases, the reverse sequence is possible: the self-decay of the proton precedes the moment of the decay of the nucleus. We believe that the mass of the primary nuclide 128Te with the longest and experimentally confirmed half-life should serve as the testable mass for detecting proton self-decay. The self-decay of a proton will differ from ordinary radioactivity by much more energy released during it.

The article explores 2 opposite approaches to the authorship of the special theory of relativity. The first assumes that Albert Einstein is the only scientist whose contribution to the development of science allowed the creation of SRT. The second approach proclaims that the theory of relativity is the product of the collective activity of many scientists who have been working on its creation for decades.

The creators of physics sought to construct it like Euclidean geometry, where a few mathematically formulated axioms, laws, opens the possibility of an unlimited number of theorems, conclusions concerning specific situations, verified by special observations, experiments. The idea of this program of cognition, not necessarily quite consciously, arose from what may be called Biblical Platonism, a synthesis of the Pythagorean-Platonism of antiquity and Biblical cosmism. Explicitly or not, this program implied the following properties of the laws, the atemporal logical structure of the universe: sufficient mathematical simplicity, universality, absolute precision, completeness and compatibility with life and thought, and anthropicity. The subsequent development of physics has demonstrated both a truly cosmic success and certain problems and limits of this paradigm. The former manifested in the universality of coverage and the fantastic accuracy of the mathematically elegant laws of matter discovered. The latter were related to the dualism of mind and matter, the enigma of the emergence and development of life, the discovery of the limits to the applicability of theories, and the forced rejection of some self-evident truths that previously seemed immutable. The article outlines approaches to the solution of these problems, which seem to be compatible with biblical Platonism.

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