De Broglie's Double Solution Theory

As an interpretation of quantum mechanics, Louis de Broglie proposed the double solution theory, in which there are two waves. There is the wave-function which is statistical, non-physical and is used to determine the probabilistic results of experiments. There is also a physical wave in the "sub-quantum medium" which guides the particle.

This is not de Broglie–Bohm theory (also known as "Pilot wave", and "Bohmian mechanics"). De Broglie realized the pilot-wave existed in fictitious configuration space and went back to his original double solution theory.

De Broglie's double solution theory is applicable for many-body systems, when using the wave-function to describe statistical behaviors. De Broglie was unable to reproduce many-body systems using the physical wave in the sub-quantum medium. De Broglie's subquantic medium is chaotic. Chaos theory reproducing many-body systems behavior is indicative of the chaotic subquantic medium.

Double-slit experiment

In a double-slit experiment the particle always travels through a single slit and the associated wave in the "subquantic medium" passes through both. As the wave exits the slits it creates wave interference which alters the direction the particle travels as it exits a single slit. Over time the particles form an interference pattern. Strongly detecting the particle exiting a single slit destroys the cohesion between the particle and its associated wave, the particle continues on the trajectory it was traveling and does not form an interference pattern.

Quantum entanglement

In de Broglie's double solution theory the particles of an entangled pair each have their own physical wave in the "sub-quantum medium" which, due to conservation of momentum when the pair are created, propagate with opposite angular momentums. In de Broglie's double solution theory, the particles do not have well defined spins prior to detection. During detection, the local collapse of the local wave gives the local particle its spin. Since the waves propagate with opposite angular momentums, detecting the particles along the same axis causes their associated waves to collapse as exact opposites which give their associated local particles opposite spins. Detecting one particle has no effect on the other. No faster than light information transfer required as realism doesn't apply to the pair as the particles do not have pre-existing values for any possible measurement before the measurement is made.