I'm not sure what you're trying to describe with your diagram(s).
I'm describing a characteristic of a particle, saying particles are composed of wave energy. Wave energy doesn't stand still, it is always moving, and yet particles, relatively speaking, stand in place, even though it is understood or theorized that internally they are never still; their quantum nature doesn't allow them to be at rest in the conventional sense. If all of that is true, then the hypothesis is that particles are synchronized patterns of inflowing and out flowing wave energy, and the diagrams depict the lowest common denominator of a particle; what I call a quantum wave.
The hypothesis is that synchronized inflowing and out flowing wave energy converges within the particle space. A convergence is the meeting of waves coming from different directions. At that convergence of the waves, there is a higher density overlap where wave energy from each contributing "parent" wave combines in a high density spot at the point of convergence. That spot is the common denominator of all wave convergences, it is characteristic of the entire synchronized standing wave pattern. That is assuming that a particle's standing wave pattern is composed of multiple synchronized intersections in the particle space that allow particles and particle types be composed of different amounts of energy.
That high density spot itself becomes a new quantum wave within a standing wave pattern and its high density is disbursed within the particle space as it expands out of the overlap space. The new emerging wave is a quantum wave and the number of emerging quantum waves within the particle space during any given quantum period equals the number of quanta in the particle space.
So the image of two parent waves in the OP is depicting a single convergence within the particle space, and that space contains multiple convergences. The equation assigns the energy value to each quantum wave, 1 quantum, so the two converging waves total 2 quanta. The equation can start to quantify the energy value of the new quantum wave being produced by the convergence from the point of convergence. At the point of convergence the value of the equation is zero because there is no overlap.
Once the parent waves expand into each others space the overlap begins. The energy value of the new wave is equal the the energy content in the two spherical caps in the diagram. As the overlap plays out, the radius of each parent wave is continually increasing and the equation, which gives a value greater than zero as soon as the overlap begins, gives a greater and greater value as the radii of the parent waves increases.
When the value of the equation equals 1, the new quantum wave is established and it expands on out of the overlap space until its expansion is interrupted by converging with other quantum waves within the particle space.
My question is, can you help me write the equation for multiple or "n" number of converging waves, since the internal structure of the so called standing wave pattern would feature multiple waves converging instead of the simplistic case of just two parent waves.
The VcapR and Vcapr values for each of the multiple wave overlaps would become VcapN and Vcapn, and the resulting value of the central overlap in a multiple wave convergence would reach 1 in a much smaller volume of space. OK, I know I have lost you, lol.
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