The standard mathematical models of these observed motions are descriptions of observations (perception) of those motions having little if anything to do with WHAT the wave is; HOW it moves and WHY. These models approximate the effects of periodic motion while the cause goes mostly unnoted if at all. In other words these observations are of the physical senses (and their surrogate instruments) and not of Awareness, Knowing or Consciousness which is the only way Cause may be perceived and understood. It is also recognized these observations and descriptions only go so far as to allow duplication and control in engineering efforts - which is where the money is - for conventional science and engineering purposes. A miracle has been defined as "perceived effects resulting from imperceived causes" Harvey Spencer Lewis which points to an SVP purpose of knowing non-observable cause.
Figure 3.19 - The Observable forms from the Non-observable
Figure 3.20 - The Observable Disappears into the Non-observable
Table of Cause and Effect Dualities