Electron Trembling as a Result of Its Stationary Motion in an Extra Space along Helical Line of the Compton Radius with the Speed of Light (“Zitterbewegung’’ in Multidimensional Space)
Igor A. Urusovskii *
Acoustics Institute named after academician N. N. Andrejev, Moscow, Russia.
*Author to whom correspondence should be addressed.
Abstract
Because there is additional space in which the observed three-dimensional Universe expands, it is believed that elementary particles move at the speed of light in full space in a vicinity of a hyper-surface of three-dimensional sphere that is our Universe. Any interpretation of a spin and isotopic spin of electron requires at least three additional spatial dimensions. As applied to six-dimensional space, the simplest interpretation of the Heisenberg’s uncertainties relation, de Broglie waves, Klein-Gordon equation, electron proper magnetic moment, CPT-symmetry, spin, and isotopic spin is consistent with the results of the theory of relativity and quantum mechanics. Taking into account the movement of elementary particle (at the speed of light) along a helical line of Compton radius, when the axis of the helix is placed on that hyper-surface, we find a trajectory of the particle.
Keywords: Zitterbewegung, electron, helical trajectory, 6D-space