Abstract

Relevance. The relevance of the study and the corresponding results is based on the need for digital transfer of scientific physical and mathematical devices for modelling the studied objects and phenomena of the real world into a digital programme environment, which forms a powerful research tool with the possibility of multi-reading and multi-vector calculation and forecasting of the nature and qualities of simulated elements of the physical world with a different scientifically based configuration of the initial data. The quality and reliability of digital models depend on the quality and completeness of consideration of various physical aspects in the simulated research objects and phenomena. Therefore, it is appropriate and relevant to formulate the initial iteration of digital transfer – the creation of a dependence-correlation apparatus. The second aspect that confirms the relevance of the current study is the fact that there is no integral model of the electron: currently, the world scientific community knows models describing individual characteristics and elements of the studied elementary particle, but there are no models describing the electron as an integral object. Purpose. The purpose of the study is to develop a model of an electron associated with a simulated vacuum using appropriate analogue models from recognised fundamental studies. Methodology. The study uses the methods of analogue Dirac models, spinor field models, the six-dimensional space-time model of the Bartini world, and the Planck oscillator model. Results. Based on the results of experiments and physical and mathematical transformations in the current study, by integrating elements of the Ehrenfest paradox theory into the above models and basic elements of physical science, a complete model of the electron was formulated, which not only received a description of spatial and energy characteristics, but also allowed assessing the oetiological and morphological features of the development of the elementary particle, and individual physical and correlation dependencies were established. Conclusions. First, the Hubble constant is necessary as a vacuum parameter in modelling elementary particles; second, the Hubble constant is included in the equation of the classical electron radius; and third, based on model calculations, the hypothesis of differences between the electron, muon, and tauon is proposed

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