Particle Motion

The diagram below shows the motion of a particle. This particle rotates clockwise at the top of the path and anticlockwise at the bottom: in other words at C it spins clockwise and as it moves towards the bottom of the through it turns in a plane perpendicular to A.

At C the top of the particle the velocity, at which it interacts with surrounding space, is greater than at the bottom of the particle due to the spin. An area of relative spatial density is created in front of  the top of the particle and there is a resultant downwards motion, as the particle moves more slowly through the area of high spatial density. The consequence of this moving area of spatial density gives a simple explanation of wave particle duality.  

Figure showing path of particle, its rotation, its general motion and the areas of increased spatial density at the apex and trough of its sinusoidal path.

The particle effectively experiences a straight line though is seen to oscillate by an observer. This indicates no additional energy or force is needed to create the wave form characteristics; the conservation of energy is upheld.

Refraction.

The following figure shows how a wave form particle acts when it goes through a lens.

Figure 2

Position A shows a wave form particle approaching a band of dense space. The gray areas show the area of spatial density. The black lines indicate the path of the electron. As the electron enters the band the density across the face of the electron is evened out and so it experiences straight line travel. It is not known if the area of dense space doubles up in the band of dense space, at what speed it may double up and so forth, the diagram shows the area of dense space increases in the band of dense space and so curved path is resumed.