One the base of differential algebra of biquaternions, the one model of electro-gravimagnetic interactions of electric and gravimagnetic charges and currents has been constructed. For this, three Newton laws analogues...One the base of differential algebra of biquaternions, the one model of electro-gravimagnetic interactions of electric and gravimagnetic charges and currents has been constructed. For this, three Newton laws analogues are used. The closed system of biquaternionic wave equations is constructed for determination of the charges-currents and electro-gravimagnetic fields and united field of interactions. The equation of charge-current transformation is like the generalization of biquaternionic presentation of Dirac equation. The properties of its solutions are described, depending on properties of external EGM field. The biquaternions of energy-pulse of EGM-field and charges-currents are considered. The energy-pulse of EGM-interactions is calculated.展开更多
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 el...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.展开更多
One the base of Maxwell and Dirac equations the one biquaternionic model of electro-gravimagnetic (EGM) fields is considered. The closed system of biquaternionic wave equations is constructed for determination of free...One the base of Maxwell and Dirac equations the one biquaternionic model of electro-gravimagnetic (EGM) fields is considered. The closed system of biquaternionic wave equations is constructed for determination of free system of electric and gravimagnetic charges and currents and generated by them EGM-field. By using generalized functions theory the fundamental and regular solutions of this system are determined and some of them are considered (spinors, plane waves, shock EGM-waves and others). The properties of these solutions are investigated.展开更多
<正> 0 IntroductionBy means of quaternion,we can easily describe the imaging regularities forplane mirrors systems in parallel ray paths.In convergent ray paths,however,thebiquaternion has to be used because the...<正> 0 IntroductionBy means of quaternion,we can easily describe the imaging regularities forplane mirrors systems in parallel ray paths.In convergent ray paths,however,thebiquaternion has to be used because the posistion of the image has to be consid-ered.The one plane mirror's operator N in biquaternion can be written asWhere (?) is the unit normal vector of the plane mirror and l is the perpendicular dis-tance from the origin to the plane mirror,ωis Clifford W.Symbol and ω~2=O.Obviously this shows that the image can be obtained by rotating the inver-sion-object through 180°around (?) and then removing it a distance of 21 along (?).If some plane mirrors systems' operators can be written in the form of Eq.(1),then these systems may be simplified into one plane mirror,which is called simpli-fied plane mirror.展开更多
文摘One the base of differential algebra of biquaternions, the one model of electro-gravimagnetic interactions of electric and gravimagnetic charges and currents has been constructed. For this, three Newton laws analogues are used. The closed system of biquaternionic wave equations is constructed for determination of the charges-currents and electro-gravimagnetic fields and united field of interactions. The equation of charge-current transformation is like the generalization of biquaternionic presentation of Dirac equation. The properties of its solutions are described, depending on properties of external EGM field. The biquaternions of energy-pulse of EGM-field and charges-currents are considered. The energy-pulse of EGM-interactions is calculated.
文摘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.
文摘One the base of Maxwell and Dirac equations the one biquaternionic model of electro-gravimagnetic (EGM) fields is considered. The closed system of biquaternionic wave equations is constructed for determination of free system of electric and gravimagnetic charges and currents and generated by them EGM-field. By using generalized functions theory the fundamental and regular solutions of this system are determined and some of them are considered (spinors, plane waves, shock EGM-waves and others). The properties of these solutions are investigated.
文摘<正> 0 IntroductionBy means of quaternion,we can easily describe the imaging regularities forplane mirrors systems in parallel ray paths.In convergent ray paths,however,thebiquaternion has to be used because the posistion of the image has to be consid-ered.The one plane mirror's operator N in biquaternion can be written asWhere (?) is the unit normal vector of the plane mirror and l is the perpendicular dis-tance from the origin to the plane mirror,ωis Clifford W.Symbol and ω~2=O.Obviously this shows that the image can be obtained by rotating the inver-sion-object through 180°around (?) and then removing it a distance of 21 along (?).If some plane mirrors systems' operators can be written in the form of Eq.(1),then these systems may be simplified into one plane mirror,which is called simpli-fied plane mirror.
