Inverse Square Law, How it relates to shape of space

I have been searching for any work that has been done which would demonstrate how the unitons/instantons/preons/strings/membrane/energy fields/knots/twistors/skirmions/spin wave/spots OR any other individual basic units THAT YOU HAVE COME UP WITH would be arranged/packed so that it would give us "The Inverse Square Law."
All that I found was the basic explanations, at Inverse square law.

The reason that the strength diminishes is because the area has increased, NOT that the force has weakened.
I have not been able to find any theories, (this includes "the big bang theory") which tries to address this situation.
If you have any references, I would look them up.
The best that I can come up with look like the following. I'll save my explanations for the creation of the TOE .

Just imagine, if there was not a pathway to every spot. You could be standing in a spot that would be in perpetually darkness.
jal

Well, the whole gravity trick is topology of our space time and the action minimization principle... Above the 6D convolution space level, the gravity becames symmetric and repulsive force.

You've forgot the Aether Wave Theory...

Hi! Zephir!
Naw!, I did not forget your theory or the good animations. Give me the math. and references that you have that makes it possible for your space to have a structure which will obey ISL. Give me your pictures with the explanations. I know that you can do better that me.
jal

The inverse square law is valid just for the 3D hypersphere and u can found the radius/surface ratio for the general N-dimensional example on the web.



For example, the 5D surface Casimir force dependence to the 1D distance in 6D spacetime is the experimentally confirmed example of such dependence, which doesn't obey the ISL. U can found all the pictures of corresponding N-dimensional structures with explanation of its behavior in my previous submission list, in particular here, for example.

I believe, most of peoples here knows about it a quite well, it has no sense to repeat it again and again...

Hi Zephir!
You have given me no more than what I know, the basic for getting the surface area of a sphere.
If space is made of something then those somethings have a position and location that then results in a packing arrangement which results in ISL.
You know what I 'm saying, I want to know the internal structure of space. You can do better than my drawing.
No Toe project will be able to get any farther if it does not propose an arrangement for the "spots" for space.
jal

Did u see the pictures?

Maybe the animation gives you a closer look to the space convolution topology... As the general rule, the gravity energy is transfered just by surface of surfaces of surfaces.. From this point of view, the energy spreading across Aether can be described by the surface wave model.

Hi! Zephir!
You sure have good pictures.
Now.... show how you can get an electron firing a photon, geting another photon, going back to the same position, and then hitting the next three targets at 2R. Like I asked,... how are your spots arranged to get ISL?

jal

Well, suppose the fundamental torroidal topology, there's not a lot of possibilities... The pictures bellow are describing, how the gravity waves are exchanged between two charged particles, the azure wave is supposed to be a photon... The light spreading can be described as the induction between the wires of spacetime fabric. Try to bring up, our universe is filled by the rectangular array of wire loops, but the light uses just a six dimensions from the 12 available between charged particles, spreading across 3D volume "distance". This gives a overall 3D ISL topology of EMG helical wave motion (i.e. "charge") spreading.

Hi Zephir!
Your pictures are sure good. I'm sure that they mean a lot more to you and that they say a lot more to you than they do to me. I guess that's a way of saying that your explanation is not simple/satisfactory/detailed enough for me to understand. (That's probably because I'm not as smart as you.)
I'm sure that they will come usefull at some point in the TOE project.
I hope someone else can step in and give me some help.

Like I said,....The reason that the strength diminishes is because the area has increased, NOT that the force has weakened.
I have not been able to find any theories, (this includes "the big bang theory") which tries to address this situation.
If you have any references, I would look them up.
So I repeat, how are the spots arranged to get ISL?
jal

Take a look at the diagram you have posted Jal, now think about arcs and relativity...

They're no "spots"... The torroidal topology of space is created solely by composition of N-dimensional gravity waves like the Lissajous curves at 2D (click to the left picture to see the AVI animation). There's no hidden mysterium structure - just N-dimensional spatial waves. The ISL is radiation wave spreading law in 3D.

Hi!
First, MMc,"...think about arcs and relativity..." my drawing is far from being right. It's the best that I can imagine. It is a 2d static picture. It does have the possibility of having a particle that is emitted from an electron following the arcs, and staying in the voids, (using some rules), and reaching the 4 spots at 2R. Each spot is a composite of 4 spots and as a result it is possible to get a photon each of the 4 spots at 2R.
If you do a search of all the different names that I used for a spot you will find that even the "preons", (which could be the "spots" of the fabric of space), has a structure.

Zephir,
The Lissajous curves, (see this link), is part of the process that I used to arrive at a standing wave/soliton/ spot that is "packed" together to make up the something that makes the topology of space.
Since you are a registered user, you can access my few post to see where I'm coming from.
Gee!... if we spoke the same language... after a while ... we might discover that we are saying the same thing... I'm coming at the space problem from a different thinking process... if you think that I'm missing descriptive words... maybe I think that you are not using enough to make me understand.
I think that we all want to be understood.
jal

Let's draw some picture for explanation...

Just for informational purposes, GR basically states that ISL is the expansion of the gravitational geodesic upon the ever wider geometry of space-time which is being warped by the mass. Basically the energy is the same, it's just being spread over an ever increasingly wider area of space-time.