Some Helicities in Electromagnetic Fields

摘要

The paper discusses the influences of the helicity on the gravitational mass density, the field source, and the mass continuity equation etc. in the electromagnetic and gravitational fields. With the algebra of octonions, the magnetic helicity, the current helicity, the cross helicity, the kinetic helicity, the field energy, the enstrophy, and some new helicity terms can be derived from the octonion definitions of the linear momentum and the force in some fields with different operators. The study claims that the gravitational mass density and the mass continuity equation are impacted by the helicity, the field strength, and the vorticity of the rotational objects and the spinning charged objects in the gravitational and electromagnetic fields.