Mathematical model of the structure of elementary particles in space

Mathematical model of the structure of elementary particles in space

(zenodo.org) correction dated 13 May The full version of the work is freely available at https://zenodo.org/records/15383291 The philosophical work that gave rise to the idea of the wave structure of matter is available at https://zenodo.org/records/15291534 Channel on dzen.ru where there are additional articles, not included in the main work, but indirectly related to the process of formation of this work, available at https://dzen.ru/id/66820d78f6faca1d3feac4b8 Introduction In this chapter, a mathematical apparatus is constructed, according to which elementary particles can be described through standing waves with different number of nodes. This allows us to relate their properties to scaling in space and interaction through wave resonance between fractal levels To understand and justify what an elementary particle in space is, the paper devotes Appendices 1, 2 and 3. Appendix 6 states the principle of scalability (fractality) in space at finite propagation speed of interactions. Under elementary particles in this paper we consider only four known, stable particles - neutrino, electron, neutron and proton, as well as their anti-analogues. It is...
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