Abstract
In Quantum Mechanics, one knows that the wave function interpretation is probabilistic. We previously established that any particle scalar field is the cause of its existence. Here, one examined the plane solution regarding a moving particle in vacuum, through the relativistic formalism. It appeared the following. (i) The solution presents four alternatives, like in Dirac unified formalism; when searching stationary solutions of the system vacuum-particle or the system vacuum-antiparticle. (ii) Considering the former, each spinner component shows the interaction of one particle charge with three vacuum fermions of spin-½; each oriented along one space direction. Furthermore, this allows deducting the triple nature of any gauge fermion. (iii) Each solution case is definable with a same wave front width. This determination became possible from the vector companion of that wave function one introduced before. Here, this points out the existence of transverse time. (iv) Both functions let emphasizing the existence of a third fundamental field of long range, which is identifiable to the fundamental spin field. (v) This unites the particle spin and orbital momenta and bears in addition a magnetic-like field, which is yet unknown. (vi) According to the charge, a particle field is observable in wave phenomena, from the manifestations of its gauge fermions or gauge bosons; when ejected from their stationary states by a perturbation… At last, the results highlight the quantum composition of wave functions, the spin-field patency, and the wave nature manifestation from five differentiable fields.
Highlights
The wave function of Schrodinger equation became effective since the dawn of Quantum Mechanics
The method here consists in reexamining the wave function solutions from the classical formalism to the relativistic one, while applying the elementary mathematics rigor emphasizing physical events
A similar result is obtainable with the differentiations of both gravitational and electromagnetic fields. These are equivalent to Klein-Gordon equation for stationary solutions
Summary
The wave function of Schrodinger equation became effective since the dawn of Quantum Mechanics It is the sole uniting the wave nature of particles, whatever the tested field is (see [1, 2]). The equation has the form of any classical wave equation (see [8]) This should suggest that the related wave must necessarily correspond to a physical field. One does not yet know the relatable field From both field equations of Duality Field-Matter [14], such fermions appear too. They are describable by the components of both scalar and vector gauge fields satisfying. In the duality occurrences [15], it already appeared that each differentiated field originates a couple of scalar and vector wave functions.
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