1. ## Simulation programming

Occasionally I try to move ahead on the math that goes along with my personal cosmology. I can envision the math associated with my ideas on mass and gravity and I can do the calculations without any particular difficulty but there is a catch. I haven’t done any programming for over thirty years and that was in the basic language. I used to be able to do some amazing macros in Lotus and Excel but even that has gotten away from me. There are a huge number of individual calculations needed to demonstrate how the presence of mass is maintained by quantum action and how gravity emanates from mass.

I have an equation that takes two (or more) spherically expanding quantum waves and tells me the value of the energy that accumulates in the overlapping volume as they intersect. So using some given data about the distance between centers, the radii, and the height of the 3-d lenses that form as the spheres intersect, I can calculate when there will be a quantum of energy accumulated in the overlapping space.

My idea is that when a quantum of energy accumulates in that way, the energy collapses into a high density spot containing a quantum of energy at a location in the center if the collapsing space. This idea first came to me as I was brainstorming about the origin of our expanding universe. One idea that I considered to explain the origin of our currently expanding arena (the known universe) was that there was a big crunch that formed when two similar expanding arenas intersected. The reasoning was that though both had their own expansion momentum just like our observable arena has, when the overlap occurred there was a mixing and mingling of galaxies from each of the two co-moving coordinate systems of the “parent” arenas. This overlapping and mingling interrupted the expansion momentum in the overlap space and gravity took control over expansion.

With gravity in control in that patch of space, the galaxies involved in the overlap would swirl into a big crunch. I realized that this same effect could occur in the quantum realm. Two or more spherically expanding quantum waves would intersect and overlap, and if the overlap at the quantum level worked the same way as it was brainstormed to work at the arena level, then the overlap would result in a collapse of the quantum of energy into a high density spot in the center of the overlapping space.

In this thread and in this forum I won’t get into the brainstorming ideas that lead to the burst of the big crunch into an expanding arena or the “bounce” of the high density spot into spherically expanding quantum energy waves but there is some speculative rationale behind both the “burst” of a big crunch and the “bounce” of the high density quantum spot that I have presented elsewhere.

What I will get into here though is the programming of a simulation using the equation (below) that I developed. It should be simple to use iterations of the equation in a loop, increase the radius of the spherically expanding waves by interactions until a whole quantum of energy is accumulated in the overlap, and then use the center point on a 3-D grid to mark the point of origin of the spherical expansion of the new quantum wave that forms from the “bounce” of the high density spot.

This programming module would be just a tiny part of a simulation program. By using a tiny mass composed of a small number of energy quanta to start, identifying the center points and radii of the quanta at the start time, calculating where the center point of the new quantum waves would be, and by incorporating some rules about mass boundaries and aether intrusion, a simulation of how a tiny mass maintains its presence in space according to my cosmology should result.

By adding an additional tiny mass a distance away one could depict a two mass universe and show how gravity comes into play to determine their paths through the aether.

This doesn’t sound like too big a project for a programmer interested in simulations of ideas on the cause of mass and gravity. Who wants to do it?

Referring to the Sphere-Sphere Intersection page at mathworld.wolfram:

To get the height of the caps you need to calculate $d$ and $d’$, which requires the radius of the circle formed at the intersection of the two spheres.

If you know $R$ and $r$, then using $x^2+y^2+z^2=R^2$ you can calculate $x$. Then using $x$, the radius of the circle at the intersection can be calculated. According to the wolfram example it looks like the height of each cap can be calculated once you know the radius of the intersection circle.

My formula using $h$ and $h’$ should then be right.

$\frac{V_{cap1}}{V_1} + \frac{V_{cap2}}{V_2} + \frac{V_{cap1}}{V_2} + \frac{V_{cap2}}{V_1} = \frac{1/3 \pi h^2 (3 R – h)}{4/3 \pi R^3} + \frac{1/3 \pi h’^2 (3 r – h’)}{4/3 \pi r^3}+ \frac{1/3 \pi h^2 (3 R – h)}{4/3 \pi r’^3}+ \frac{1/3 \pi h’^2 (3 r – h’)}{4/3 \pi R^3}$

I'm making an assumption that the energy density in the overlap (volume of the combined caps) is twice the average energy density of the two original spheres. I think I could prove that but for now I am going ahead with that assumption.

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