A classical path to unification

An overview is given of a classical unified theory of gravity, elementary particles and quantum phenomena based on soliton solutions of Einstein's vacuum equations in twelve dimensional space. Bell's theorem on the Einstein-Podolsky-Rosen experiment, which is widely interpreted as ruling out classical explanations of quantum phenomena, is shown to be non-applicable as violating time-reversal symmetry. Entanglement is a relativistic consequence of Newon's third law and a property of all time-symmetrical theories, whether classical or quantal. The metric solit ons (metrons) are composed of strongly nonlinear periodic core components, far fields corresponding to the classical gravitational and electromagnetic far fields of point-like particles, and further fields representing the weak and strong interactions. The core fields represent nonlinear eigenmodes trapped in a self-generated wave guide. Computations are presented for the first family of elementary particles corresponding to the lowest nonlinear eigenmodes; the second and third families are assumed to correspond to higher eigenmodes. It is shown that the periodicities of the soliton core modes produce the wave-particle duality paradoxes of quantum phenomena, as exemplified by single- and double-slit particle diffraction and the discrete structure of atomic spectra.