Using four equations, a recently proposed classical field theory that geometrically couples electromagnetism to gravitation in a fundamentally new way is reviewed. Maxwell’s field equations are a consequence of the new theory as are Einstein’s field equations augmented by a term that can replicate both dark matter and dark energy. To emphasize the unification brought to electromagnetic and gravitational phenomena by the new theory specific solutions are investigated: a spherically-symmetric charged particle solution, a cosmological solution representing a homogeneous and isotropic universe, and solutions representing electromagnetic and gravitational waves. A unique feature of the new theory is that both charge and mass density are treated as dynamic fields, this as opposed to their treatment in the classical Maxwell and Einstein field equations where they are introduced as external entities. This feature suggests a procedure for quantizing the mass, charge and angular momentum that characterize particle-like solutions. Finally, antimatter, which is naturally accommodated by the new theory, and its interaction with a gravitational field is investigated.

Using four field equations, a recently proposed classical field theory that covers the phenomenology of classical physics at the level of the Maxwell and Einstein Field Equations (M&EFEs) but then goes further by unifying electromagnetic and gravitational phenomena in a fundamentally new way is reviewed. The four fundamental equations are shown to determine the dynamic fields of the theory in a manner that is logically consistent with the requirements of general covariance. Developing particle-like soliton solutions and then radiative solutions for electromagnetic and gravitational waves, the predictions of the theory are shown to be consistent with those of the M&EFEs. The same solutions are then used to illustrate the unification that the theory brings electromagnetic and gravitational phenomena by, for example, uniting electromagnetic radiation with a specific class of underlying gravitational radiation. A description is given for quantizing the mass, charge and angular momentum of particle-like soliton solutions, a situation that is uniquely possible with the new theory because the mass density and charge density are treated as dynamic fields and not introduced as external parameters. A cosmological solution corresponding to a homogeneous and isotropic universe is investigated. Finally, a description of antimatter is naturally accommodated by the theory and leads to definite predictions regarding the interactions of matter and antimatter with gravitational fields.