Mathematical model of the structure of elementary particles in space

Mathematical model of the structure of elementary particles in space

(zenodo.org) Introduction In this paper we construct a mathematical apparatus according to which elementary particles can be described through standing waves with different number of nodes. This allows to connect their properties with scaling in multidimensional space and interaction through wave resonance between fractal levels. The wave nature of elementary particles Here under elementary particles we understand only long-lived particles: neutrino (standing wave with one node), electron (two nodes), neutron (three nodes), proton (four nodes), as well as their antiparticles. Standing waves are formed on the basis of wave resonance between different fractal levels. In the previous article (https://zenodo.org/records/15094660) it was shown that scaling occurs in multiples: where| ℏ|ₙᵤₘ is the theoretically calculated analogue of Planck's reduced constant, and c is the speed of light. This suggests that the scaling of wave resonance occurs as a function of size by a multiple of the fourth power of the speed of light. We also know that wavelength is related to mass through the same Planck constant. So...
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