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 visualI'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
HAVE FUN 
....suggests to me, the very fractal, holographic nature of things.
Please Jal, how old really you are?
