Heisenberg Path Theory

Heisenberg proposed the Principle of Uncertainty. According to it there is an inherent accuracy in measuring two related parameters in connection of a particle. One of these two parameters are position and velocity. Therefore each particle with a velocity will come under this principle.

Heisenberg path is the volume that principle applies.

A volume can be created by combining all these planes

This is just a path with no mass or energy. This path, though it lacks mass and energy it has characteristics. The traveling particle associated with this path can appear in any location of the volume probabilistically. It also does have characteristics of a wave.

These characteristics change whenever an actual physical barrier is inserted to this path.

These are very similar to the action of waves. Therefore mathematically these paths can be derived by applying the characteristics of waves.

But it should be cautioned that this is not a wave. It is wrong to interpret it as have dual characteristics particles and waves - wave particle duality. Danger of doing this we tend to think that the particle is broken to parts and these parts are represented as a wave. If this wave consists with parts of the particle then it will have energy. When we think this is only a path it do not need to have energy. By thinking this way we can avoid all problems associated with this pronominal like quantum weirdness, wave  particle duality, superposition, entanglement, time traveling backwards, many worlds theory, wave function collapses when measured, observer collapses wave function, quantum eraser etc.