The structure of the wave particle is derived from the characteristic of the world of quantum matter. The hypothetical shape of such a wave particle is a hollow sphere, which is responsible for the particle features, with attached strings, which act like waves. It looks like a balloon with a lot of tails. The special property of quantum matter yields to a permanent spinning of every part of the particle.
The motion of the wave particle is counter intuitive, because the hollow sphere needs a lot more of the quantum matter than the strings and therefore the strings are moving in front, not the sphere. Because of the permanent motion and the different velocity of each part, the particle has a shape with an orientation and a motion with a direction. Because of the spinning string ahead, obstacle will be pushed away. This effect is something like a "collision protection system". This dynamic behavior of the wave particle is called dragging line motion.
There are two kinds of aggregations of wave particles, chains and sticking clusters. A standstill cluster of sticking particles acts like a particle of momentum and can move. To build clusters, wave particles have junctions.
There is no attraction force between wave particles, the interaction is just a collision between them. On the one hand there is a diffusion, if two spheres hitting each other, on the other hand there is refraction and interference, if the strings are stuck in an obstacle.
If wave particle are moving the same direction, they can stick together. The chain behaves almost like a single particle.
If wave particles sticking together and are moving the opposite direction, the vector sum has to be almost zero.
The balance of momentum of an uneven cluster of wave particles is very fragile. Every slight distortion will destroy the unstable structure. Even cluster a a lot more stable.
The dragging string model wants to describe, how a structure of quantum matter will move. The assumption is, that the structure has a thick and hollow body and some thinner parts attached. There a several structures possible.
The simplest structure would be a hollow sphere with a string attached. Each part of the particle tries to move a constant velocity, but because of the aggregation the quantum is spinning and the thick parts move slower than the thinner parts.
The sphere is thicker than the string and is moving slower. The string tries to move faster but it can only oscillate.
This is just an example of a dragging string motion. The sphere could have more than one string or the shape of the sphere could be a bar.
The crucial feature is, that the attached thin parts are a "collision protection system" for the thick body. Obstacles will be pushed away without disturbing the motion of the whole particle.
kinetic motion of clusters
A cluster of sticking wave particles is acting like a particle of momentum. Conservation of momentum or it can permanent disturb the shape of a sticking cluster or destroy it.
Because the shapes of both twisted strings are disturbed. The changing of motion depends on the sizes of the spheres of the colliding twisted strings. The velocity of both twisted strings is before, during and after the collision always the speed of light. The linear momentum isn't kept.
If a free moving twisted strings hits a cluster of twisted strings, the distortion is creating a momentum and the cluster is moving. This effect is called radiation pressure.
Refraction or distraction is a distortion of the dragging string motion.