Abstract
Private monochromatic solutions of the free-field equation of electro-gravimagnetic charges and currents are constructed in the differential algebra of biquaternions, which describe elementary particles as standing electro-gravimagnetic waves. The two classes of solutions of this biquaternionic wave equation have been investigated, generated by scalar potentials (pulsars) and vectorial potentials (spinors). Their asymptotic properties are considered, on the base of which they are classified into heavy (boson) and light (lepton) elementary particles. The biquaternion representation of the hydrogen atom is given. The periodic system of elements is produced, which is built on the principle of the musical structure of a simple gamma.
Highlights
In [1] [2] [3], the author developed a biquaternion model of the electrogravimagnetic field (EGM-field) and electro-gravimagnetic interactions
The biquaternionic representation of Dirac equations determines the transformation of the density of mass charges and currents under the influence of external EGM-fields
We construct particular monochromatic solutions of this equation that describe elementary particles as standing EGM-waves. They can be divided into two class, generated by scalar potentials and vector ones. Their asymptotic properties are investigated, on the basis of which they are classified into heavy and light elementary particles
Summary
In [1] [2] [3], the author developed a biquaternion model of the electrogravimagnetic field (EGM-field) and electro-gravimagnetic interactions. The biquaternionic representation of Dirac equations determines the transformation of the density of mass charges and currents under the influence of external EGM-fields. We construct particular monochromatic solutions of this equation that describe elementary particles as standing EGM-waves. They can be divided into two class, generated by scalar potentials (pulsars) and vector ones (spinors). Their asymptotic properties are investigated, on the basis of which they are classified into heavy (bosons) and light (leptons) elementary particles. It is shown that bosons are spherical harmonic pulsars whose mass-charge density is determined by their frequency of oscillations This allows us to build periodic systems of elementary particles based on the classical harmonic musical scale. The biquaternion representation of the hydrogen atom is given and the periodic system is produced, which is built on the principle of the musical structure of a simple harmonic scale
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