Wave-particle duality is a moving particle and it’s associated wave.
“While the founding fathers agonized over the question ‘particle’ or ‘wave’, de Broglie in 1925 proposed the obvious answer ‘particle’ and ‘wave’. Is it not clear from the smallness of the scintillation on the screen that we have to do with a particle? And is it not clear, from the diffraction and interference patterns, that the motion of the particle is directed by a wave? De Broglie showed in detail how the motion of a particle, passing through just one of two holes in screen, could be influenced by waves propagating through both holes. And so influenced that the particle does not go where the waves cancel out, but is attracted to where they cooperate. This idea seems to me so natural and simple, to resolve the wave-particle dilemma in such a clear and ordinary way, that it is a great mystery to me that it was so generally ignored.” - John Bell
In the following articles Louis de Broglie describes wave-particle duality as a moving particle and it’s associated wave in a hidden subquantic medium.
‘Interpretation of quantum mechanics by the double solution theory - Louis de BROGLIE’
http://aflb.ensmp.fr/AFLB-classi…
*“When in 1923-1924 I had my first ideas about Wave Mechanics I was looking for a truly concrete physical image, valid for all particles, of the wave and particle coexistence discovered by Albert Einstein in his “Theory of light quanta”. I had no doubt whatsoever about the physical reality of waves and particles.”
“any particle, even isolated, has to be imagined as in continuous “energetic contact” with a hidden medium”*
“For me, the particle, precisely located in space at every instant, forms on the v wave a small region of high energy concentration, which may be likened in a first approximation, to a moving singularity.”
“the particle is defined as a very small region of the wave”
NON-LINEAR WAVE MECHANICS A CAUSAL INTERPRETATION by LOUIS DE BROGLIE
“Since 1954, when this passage was written, I have come to support wholeheartedly an hypothesis proposed by Bohm and Vigier. According to this hypothesis, the random perturbations to which the particle would be constantly subjected, and which would have the probability of presence in terms of [the wave-function wave], arise from the interaction of the particle with a “subquantic medium” which escapes our observation and is entirely chaotic, and which is everywhere present in what we call “empty space”.”
The wave of wave-particle duality is a wave in the hidden subquantic medium.
In a double slit experiment the particle travels a well defined path which takes it through one slit. The associated wave in the hidden subquantic medium passes through both. As the wave exits the slits it creates wave interference. As the particle exits a single slit the direction it travels is altered by the wave interference. This is the wave guiding the particle. Detecting the particle strongly exiting a single slit destroys the cohesion between the particle and its associated wave in the hidden subquantic medium, the particle continues on the trajectory it was traveling and does not form an interference pattern.
The notion of dark matter that travels with the matter is incorrect. The space unoccupied by particles of matter has mass and is displaced by the particles of matter which exist in it and move through.
"If a hidden sub-quantum medium is assumed, knowledge of its nature would seem desirable. It certainly is of quite complex character. It could not serve as a universal reference medium, as this would be contrary to relativity theory." - Louis de Broglie
The nature of the hidden sub-quantum medium is the mass which fills the space unoccupied by the particles of matter which exist in it and move through and it and is what waves in a double slit experiment.