Maxwell's Equations and Einstein-Gravity in the Planck Aether Model of a Unified Field Theory

Abstract

Abstract In the Planck aether substratum model it is assumed that space is densely filled with both positive and negative Planck masses described by a nonlinear nonrelativistic operator field equation. With-out expenditure of energy this substratum can form a lattice of vortex rings, with the vortex core radius equal the Planck length. The vortex ring radius is determined by a universal minimum energy quantum Reynolds number, making the ring radius and lattice spacing about 10 3 -10 4 times larger than the Planck length. The zero point fluctuations of the Planck masses bound in the vortex filaments become the source of virtual compression waves, which if quantized lead to Newton's law of gravitation, including the correct value for the gravitational constant. This scalar gravitational force couples the vortex rings, which thereby can transmit two types of transverse waves through the vortex lattice. The first type involves the tilting of the vortex rings and can be described by Maxwell's electromagnetic field equations. The second type involves the elliptic deformation of the rings and can be described by Einstein's gravitational field equations. Einstein gravity is therefore explained as resulting from the symmetric, and Maxwell's electromagnetism from the antisymmetric distor-tions of the Planck aether. Special relativity follows as a dynamic symmetry for objects held together by electromagnetic forces, and general relativity if these objects are placed in a gravitational field. Both special and general relativity, though, turn out to be low energy approximations, breaking down near the Planck scale, eliminating all divergences and singularities. Finally, the large difference between the electromagnetic and gravitational coupling constants is quantitatively explained to result from the negative masses in the Planck aether.