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In this work, we review and extend a version of the old attempt made by Louisde broglie for interpreting quantum mechanics in realistic terms, namely thedouble solution. In this theory quantum particles are localized waves, i.e,solitons, that are solutions of relativistic nonlinear field equations. Thetheory that we present here is the natural extension of this old work andrelies on a strong time-symmetry requiring the presence of advanced andretarded waves converging on particles. Using this method, we are able tojustify wave-particle duality and to explain the violations of Bell'sinequalities. Moreover, the theory recovers the predictions of the pilot-wavetheory of de Borglie and Bohm, often known as Bohmian mechanics. As a directconsequence, we reinterpret the nonlocal action at a distance presents in thepilot-wave theory. In the double solution developed here there is fundamentallyno action at a distance but the theory requires a form of superdeterminismdriven by time-symmetry.

Whence Nonlocality? Removing spooky action at a distance from the de  Broglie Bohm pilot-wave theory using a time-symmetric version of de Broglie  double solution