The Electrodynamics of Continuous Electromagnetic Fields

Electrodynamics is formulated as a field theory rather than as a particle and field theory. Electromagnetic fields are taken to be continuous everywhere. Maxwell’s equations are assumed to be valid always, and second order calculus of variations is used to obtain fundamental equations from a covariant action in which the usual term involving particle mass m has been replaced by a term involving an integral over the covariant mass density µ associated with the fields. These equations yield:

• A covariant equation of motion for a charged body’s center of inertia (COI)

Includes distortion of the body and radiation reaction

• Solutions of the Dirac and Schrodinger equations give the mass density distribution around the COI for a body interacting with its environment,

Mass density, not probability distribution

• The electron’s charged region is significantly larger that of the proton

Consistent with quantum mechanics

• All charged bodies have an extensive distribution of electromagnetic dark mass outside of their charged regions

The fields extend throughout space and their energy density E can be converted to mass density µ=E/c²

• A possibility of discovering how electromagnetic fields affect gravity (?!)

Reformulate this theory in curvilinear coordinates with EM fields as source terms.