The study examines the transformation of scientific views and approaches to the problem of expediency and necessity of legal regulation of public relations, emerging from the evolution of the world system of public electronic resources in the transmission of information and Internet data from Web 1.0, Web 2.0 to Web 3.0. The stages of formation of the role and place of electronic jurisdiction in public relations are also investigated. Legal regulation of modern relations in virtual and augmented reality environments with the use of Web 3.0 technologies is not available today. At the same time, there are precedents for the application of certain provisions of analogue law to address legal uncertainties in the virtual environment, such as establishing ownership of virtual non-property assets, buying/selling of virtual non-property assets, liability for misappropriation of virtual non-property assets, etc. Obviously, the problem of legal regulation by the rules of analogue law in the virtual environment cannot be fully addressed. The solution to this problem is possible by creating a comprehensive e-jurisdiction and developing the Metaverse Grand Charter of Laws to regulate public relations in the meta-universe and to establish new branch of e-law. Given the urgency of the problem, the model of e-jurisdiction Grand Charter of Laws Metaverse is proposed. The model of complex electronic jurisdiction of Metaverse will allow to create basic conceptual apparatus, doctrinal and normative and legal concepts, to define objects and subjects of legal relations in Metaverse, to establish the basic forms of legal relations and mutual relations in Metaverse. This, in turn, will be the basis for reforming analogue legislation, partial interoperability in the digital environment and the development of new regulations in various areas of law and will stimulate the establishment of new e-jurisdiction. The study proposes the construction and basic elements of electronic jurisdiction, mechanisms for the separation of electronic offences and interaction with analogue jurisdictions. E-jurisdiction of the Metaverse Grand Charter of Laws will provide legal regulation of public relations both directly in Metaverse and in public relations related to the analogue and electronic world.

We describe the external and internal hydrogen interaction on contacting surfaces in the “cylinder–piston rings” friction coupling. Under the influence of high temperatures and pressure, the oil in the combustion chamber at a temperature up to 1473 K decomposes and forms small amounts of water. External hydrogen (H₂) is subsequently formed. Hydrogen removal from the piston rings reduces the heterogeneity of the structure, residual stresses, and uneven physical and chemical properties of the near-surface layers, which reduces the stress concentration and, as a consequence, results in an improvement in the performance characteristics of the surface layers of the friction couple “cylinder-piston rings” of the spark ignition engine.

The article is devoted to the following issues: boiling of fluid in the cooling jacket of the engine cylinder head; agents that influenced the thermal conductivity coefficient of nanofluids; behavior of nanoparticles and devices with nanoparticles in the engine’s cylinder head cooling system. The permissible temperature level of internal combustion engines is ensured by intensification of heat transfer in cooling systems due to the change of coolants with “light” and “heavy” nanoparticles. It was established that the introduction of “light” nanoparticles of aluminum oxide $A{l}_2{O}_3$ $A{l}_2{O}_3$ into the water in a mass concentration of 0.75% led to an increase in its thermal conductivity coefficient by 60% compared to the base fluid at a coolant temperature of 90 °C, which corresponds to the operating temperature of the engine cooling systems. At the indicated temperature, the base fluid has a thermal conductivity coefficient of 0.545 $\frac{W}{\left(m^2\times °\mathrm{C}\right)}$ W/(m °C), for nanofluid with $A{l}_2{O}_3$ particles its value was 0.872 $\frac{W}{\left(m^2\times °\mathrm{C}\right)}$. At the same time, a positive change in the parameters of the nanofluid in the engine cooling system was noted: the average movement speed increased from 0.2 to 2.0 m/s; the average temperature is in the range of 60–90 °C; heat flux density 2 × 10²–2 × 10⁶ $\frac{W}{m^2}$; heat transfer coefficient 150–1000 $\frac{W}{\left(m^2\times °\mathrm{C}\right)}$. Growth of the thermal conductivity coefficient of the cooling nanofluid was achieved. This increase is determined by the change in the mass concentration of aluminum oxide nanoparticles in the base fluid. This will make it possible to create coolants with such thermophysical characteristics that are required to ensure intensive heat transfer in cooling systems of engines with various capacities.

The Scientific and Technical Revolution 5.0 and WEB 3.0 technologies create conditions for the renovation of various forms of social relations with the use of virtual and augmented reality technologies in the metaverse. According to the proposed theory, the legal regulation of social relations in the metaverse requires the development of a comprehensive electronic jurisdiction based on the latest basic legislation. The formation of legal regulation of the metaverse is a prerequisite for the need to form an electronic jurisdiction of the metaverse, which will include sectoral Metaverse Codes. The metaverse, as the electronic society of the future, does not yet have clear legal boundaries, and the task of scholars is to predict and outline with sufficient certainty the future contours of legal authority for virtual environments. Today, discussions in the scientific community about the feasibility and necessity of legal regulation of the metaverse often revolve around several key issues. First, there is the question of what legal framework should be applied in the metaverse and how conflicts between different legal systems should be resolved. Second, there is a debate about whether current regulatory bodies in the physical world have the capacity to effectively regulate the metaverse through existing laws and regulations. Third, there is the question of how to deal with offences committed in the virtual environment, and whether they should be dealt with under existing tort or criminal law, or whether a separate cross-border electronic jurisdiction should be created. The regulation of social relations in the metaverse should focus on one central goal: to clearly define the status of electronic entities, subjects and objects, to establish their rights, duties and responsibilities, and to define the different types of relations between virtual entities, subjects and objects within a given metaverse, as well as between different metaverses within an electronic jurisdiction and in a cross-border context. An essential component of the Metaverse Electronic Jurisdiction is a Metaverse Model Criminal Code that will outline the norms and offences applicable to analogue, hybrid and electronic jurisdictions. This code will define the types of socially harmful acts or crimes and the corresponding criminal penalties that will be applied within the metaverse. The formation of the electronic jurisdiction of the metaverse and the development of a Metaverse Model Criminal Code is a current scientific and legal issue.

In this article the structural features of friction pairs of brakes are analyzed. Heat transfer processes with new boundary conditions are described analytically with the addition of flow conditions and the appearance of a boundary thermal layer to convective heat transfer. The joint action of heat conduction and convection fields is presented. The release of heat during friction is due to the destruction of adhesive bonds in the actual contact zones, and the stress–strain state of micro-roughnesses. It should be said that due to the presence of accompanying transfer processes, complex heat transfer is much more complex compared to purely conductive, convective, and radiative heat transfer, which significantly complicates its analytical and experimental study. In this regard, the processes of complex heat transfer are currently studied little. From the point of view of non-equilibrium thermodynamics, the main task of describing the transfer process is to establish a relationship between the magnitude of the specific flux and the surface-volume temperatures that it causes in the metallic friction elements of the brakes. Additionally, as a result, an assessment of conductive and convective heat transfer in friction pairs of brake devices was made.