From: mpc755 on
As far as I know, de Broglie was the first to define wave-particle
duality as any moving particle or object had an associated wave
(http://en.wikipedia.org/wiki/Louis_de_Broglie).

This is exactly what is occurring in nature in a double slit
experiment. The 'particle' travels a single path and the associated
wave propagates available paths. When the associated wave exits the
slits it creates interference which alters the direction the
'particle' travels. Detecting the 'particle' causes decoherence of the
associated wave and there is no interference.

If you want to understand what is occurring in double double slit,
'quantum erase', 'delayed choice', or any other experiment consisting
of a probability of a particle traveling a particular path all you
have to understand is the 'particle' has an associated wave. The
'particle' travels a single path and the associated wave propagates
available paths.

If you want to take de Broglie's definition to the next step in order
to understand what occurs physically in nature then a 'particle' has
an associated aether wave.

If you want to understand what is occurring physically in nature in
double slit, 'quantum erase', 'delayed choice', or any other
experiment consisting of a probability of a particle traveling a
particular path all you have to understand is the 'particle' has an
associated aether wave. The 'particle' travels a single path and the
associated aether wave propagates available paths.

In AD, a 'particle' has an associated aether wave.