ENTROPY-POTENTIAL ENERGY, How it related to spacetime

JAL

Hi!
Did you BYOB?
Let's hear what you have for suggestions on putting everything into motion.
jal
Here is a picture to get started.

Jal,
Yes, I've skimmed over your thread.

It appears there are 2 + 2 rotations of symmetry in the 2D case. in the 3D sphere case, there are various planes of symmetry.

It seems 3D packing for maximum density has only recently been proved to be what everyone know, but couldn't before prove.

By my knowledge, the 7D space-time is the most dense with respect of the homogeneous energy spreading (i.e. the Lagrangian minimization based on minimization of action density) - compare to the surface area/volume ratio at the case on N-dimensional hypersphere:



But what about the hypersphere packing density model? It would be interesting point, if the math analysis would show, the 3D sphere packing is the most dense subspace for hypersphere packing. Till now, I've explained the number dimension forming our subspace by the minimal number of dimensions, required for the formation of 3D vortexes (i.e twistor deformations of space) with the same (i.e. repulsive) charge, where charge is the helicity of the twistor motion. It means, 3D is some magical number with respect of Lagrangian dependence on the space-time convolution level.



It would be interesting to confirm such hypothesis just by the hypersphere packing geometry conjecture. The true is, from theoretical point of view, the rigorous proof of 3D sphere packing (Kepler's conjecture) doesn't exist yet, just some computer aided proof. The same will be true for N-dimensional sphere packing conjecture, indeed.

A theoretical model of a structured spacetime, (for which we have no means of detecting at the moment), which consisted of undetectable energy
Let's called it a METRON/SPOT/SOLITON.

Information/energy/photons can only flow/communicate from one point to another point by following the available paths, (there are 6) which are the in the dark areas. Both illustrations are equal in area and in a 3d configuration would occupy the same volume. In 3d there are 12 communication paths. (Everyone has been calling them 12 dimensions). Okay, then extend the logic.
In our 3 dimensional environment We perceive only 3 dimensions but there are 12 dimensions
(from Burkhard Heim's Particle Structure Theory)
jal

Physic web

Here is my promised presentation. It’s a long post.

I will post a link from Burkhard Heim's Particle Structure Theory
And from ENTROPY-POTENTIAL ENERGY to this thread.
Also, I will repeat this post in my thread.
This will be called:
JAL’S INTERPRETATION AND PROCEDURES
(Burkhard Heim's Particle Structure to be used for HEIM's Metrons as Cellular Automata ).
This does not need to be the only interpretation or procedure. I’m sure that there will be others.
If there are suggested improvements, I will make the edits.
If the interpretations and approach are rejected I will delete this posting.
Some links and references will be imbedded in the text.

JAL’S INTERPRETATION OF PROTOSIMPLEX
As some of you expected, I will use circle packing to illustrate the 2 dimension of R6.
When we have obtained a 2 dimensional structure, I will post/edit my interpretation and procedure for our 3 dimensions or R12, which will be sphere packing.
The Metron, is the combined smallest possible unit that can be used.
It is a 2 dimensional surface. This unit is also projected into our 3 dimension.
The way that the Metron is structured/assembled at the 2 dimensional level to make R6 will affect what happens at our dimensional level.

In order to reach down to the level of the metron it is necessary to quantize space time.
1. First level of quantizing spacetime.
I use the densest compaction known to obtain a smooth uniform structure of a 2 dimensional sheet. The results are that we get the 6 directions/dimensions/kissing numbers/R6. That then becomes a unit of 2d spacetime which can communicate with other units.
What we want to do is put a lot of these units together and see what happens.
If we look at a unit of 2 dimensional spacetime and lay a grid over it (see first illustration, modified from Zephir) then all we would get when trying to build a Cellular Automata would be rows of dark/off cells.
This is agreement with observation. Spacetime appears smooth and uniform everywhere at this level.
We would not get anywhere by building a Cellular Automata.
However, If we were building a peer review paper, I would do a “run” for the record.


2. Second level of quantization
Here is where appears the Metron and R4
It should also tell you something about what we can do later, concerning the size of an quanta of space versus the size of a quanta of time. Compare what I said about a unit above with what you see now.
This second illustration is based on a soliton. Just remember that a soliton of energy is not a rigid structure.
The following illustration is wrong because the Metron would not be occupying all four positions at the same time. It is cyclying from #1 #2 #3 #4.
As long as it does not cycle farther than 2 pi then the structure is stable.
It is at this level that we can make a Cellular Automata. It is at this level that we can see how information can flow from one place to the other place in 2d. (This is the motherboard.)

What are the rules that must be incorporated into the program so that we get meaningful results?
1. There should be only one metron in each circle (R4).
2. With one metron in each circle (R4) it is possible to evaluate how they will combine and create a stable structure that will produce a sheet/membrane of R6.
Will someone please tie down Ed Witten until we actually make his membrane.
I can just picture him dying to get to his pen to describe how a string can vibrate to make a Metron and to make the resulting membrane. We haven’t even look at (R12) 3 dimensions yet. That’s when we will have the LQG and Knot people scrambling for their pencils. I’m not worried. There will be plenty of bread and molasses for everyone.

This section is reserved to enter the edited rules needed to make the Cellular Automata.


I would expect that the R6 2 dimensional structure would stabilize with the following illustration imbedded in it. This might help in setting up the rules.


Does the above illustration make you want to take out your pencil to calculate the relationship between a quanta of space, a quanta of time and a Metron? Wouldn’t you like to know what it could look like as a R6 sheet?
edited:inserted the 2pi visual
I'd like to add another visual to try to help with what you said.

If we look at the metron making a 4R and that it is stable within a linear distance of 2pi then we would have the following.
I have taken a 2d section/slice from 3 R6 sheets.

IN A DYNAMIC SITUATION, If contributions to the inner metro is limited to a linear distance of 2pi then only the metrons from the adjacent hex. packing could contribute to filling the inner R4 metro max. density. One metro from the center, one metron from the middle ring, and one metron from the Top and Bottom. Those are the only communicating pathways to the center metron.
Which ones? Heim used a "world selector" mechanism.
Maybe, those are the 12 dimensions that is being talked about?

If the readers are not trying to read the protosimplex then all you'll see are poor simple drawings.

PROCEDURES
1. We need at least 3 people willing to make a “production run”. You got to let us know who you are. A PM or posting will do the trick.
2. These 3 people should be able to describe the rules that they will use and be able to explain to us dummies how they relate to what the metron is doing.
3. I would recommend that the “production run” start at the simplest and work their way up to more complexity.
4. The simplest would be to limit the movement of the metron to a distance of pi. This is equivalent to saying “round and round they go”.
5. The next step would be to make a “run” where the Metron goes no more than 2pi. Why 2 pi? This allows the Metron to travel linearly and still be within a R4 structure.
6. Travelling farther than 2pi is where we get broken symmetry and “particles?”
7. After everyone is satisfied with a 2d sheet then we can start on 3d.
8. After we are satisfied with the 3d structure we can try to input the variables from Heim's Particle Structure that affect the production of particles such as the constants. I expect that Mrs. SUSY will be keeping an eye on us.

This is only one possible approaches that could be used.
At the end of the day, there should result some publishable results. Maybe I’ll get mentioned in the acknowledgements for inspirational contribution.
Okay, …. let’s get the show on the road!
simple jal

Hi!
It's also available at: HEIM's Metrons as Cellular Automata
JAL’S INTERPRETATION AND PROCEDURES
(Burkhard Heim's Particle Structure to be used for HEIM's Metrons as Cellular Automata ).
jal

Hi!
Using a packing approach has been thought of by Steve Waterman.
See his presentations at universalconcepts
I'm sure that you will find his approach more comprehensive than my presentation.
jal

Hi!

Seeing 12 dimensions

I have no trouble seeing 12 dimensions. I can teach you. It’s easy.
When we speak of 3 dimensions we are in actuality saying that there are 3 directions for information to get to us.
Imagine that you are a metron at the center of 12 spheres. That is called a hex. packing. Information can only reach you by squeezing between the spheres.

If our universe is quantized then it must have a regularized structure. If it is to be the same in all directions and the same everywhere then a quantum of spacetime must pack in a hex. pattern.
Therefore, reject what you have been told and what your brain has been reinforcing for your whole life. You are not living in an environment with only 3 pathways of information (3d). You are living in an environment with 12 pathways of information (12 d). You don’t have to believe this.
You only have to understand it.
You do not sense the 12 pathways of information. You only sense 3 pathways plus one pathway called time. Why?
Imagine that you are moving in that central position. Imagine that information cannot reach you from the rear of your direction of movement. Therefore, that eliminates 6 of the 12 paths of information that can get to you. The six remaining paths to your front are the 3 that you already identify plus the 3 other that some people wrongly called time.
You don’t have to believe it. However, if you understand it you will be able to understand protosimplex. At the quantum level there are few differences. Energy could come into the central region by the 12 pathways. The pathways are not at fixed locations because the spheres are made of metrons that are going through a cyclic pattern.

I cannot bring you up to speed concerning sphere packing as a good approach. You need to do your own search and learning. (You are seekers) .
However, here are some search results to help.
Applying Coding Theory to Sphere Packing
Getting Serious About Series
sphere packing and highr dimensions
SPHERE PACKING STUDIES
Sphere Packing with Rhombic Dodecahedra

jal

According to mainstream the information in a Black Hole is proportional to its surface, to to its volume. It might suggests that ona dimension is missed.

The mass (energy) is supplied into a Black Hole from outside proportional to Density x Volume (RxRxR). The Black Hole increases its Radius ® proportional to its Mass. That way supplied mass causes an acceleration of the expansion of the Black Hole. Does it mean there is an accelerating increase of the entropy ?

Hi!
Contrary to the popular explanation of "black hole" which you seem to have trouble with, because you would not be looking for other possible explanations, which I supplied for your evaluation, I do not think that "black holes" are an increase of entropy. The degree of freedom of movement has been reduced to 2d. There are less paths for information to dissimulate. ( from 12 to 6 ).
Our own bodies are proof that entropy can decrease, (become more organized) in our universe.
Of course, I am still seeking for greater understanding, since I wrote that, the metron, with the math which calculates the mass of particles, has caught my attention. I'm searching there to see if I also can find answers there.
If you cannot see this explanation as a possibility, then I guess you will continue searching for an answer that you can accept.
jal

HI ALL...
note for SEEKERS: Do not rely on the web to give you access or preserve the information that you like. Make a hard copy. ( I have binders full of info that has disappeared)
I have made a summary at my postings/threads
If your stuck in a rut.... I've left you a pile of sh*t or a pile of diamonds to help you get out.
You evaluate and you decide... you are seekers
I've got stories to tell so I'm going out for a beer.
salut....
jal

Hi jal

I came across this info at http://mathworld.wolfram.com/Hypocycloid.html

This works for the spaces in between your 2D spots. I am wondering if there is 3D equations out there for a sphere inside a sphere.

My calculus book gives the equation x^(2/3) + y^(2/3) = 1 for a four-cusped hypocycloid.

I suspect a 3D equation is x^(2/3) + y^(2/3) + z^(2/3) = 1^(2/3).

Hi everyone!
I had a beer and told a few stories.
I got a request to come back here.
The subject of virtual particles..... need some explanations.... Here is what I found.
Quantum_mechanics

Quantum_foam

qfoam New Scientist 19 June 1999 reports Michael Brooks

virtual.

There are a few other things which have not been mentioned for particles to become real:
1. The photon at the scale of about 10-35 metres have got to expand to reach the size of one of the above particles. Which means that quantum mechanics supports faster than light .
2. The photon has to do this in less than 10 -44 seconds. Which means that quantum mechanics supports faster than light .
3. The expanding photon has to come to a screeching halt every time and at precisely the right moment
4. The energy of the photon has to be converted to a particle
5. That particle will then travel at less than the speed of light.
That is an awful lot of unexplained mechanisms and energy.
Maybe there are simpler and more believable explanations.
jal

Hi! RAF!
I read your explanation of virtual particles. I understand that. Is there an explanation for the following:

jal