Huh?   A Model of Space, Infinity and Flow

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Working Draft  Copyright (c) 2005 - 2007 Jim Imboden

 

Chapter 12  Certainty and Uncertainty

 

Only two possibilities exist: either one must believe in determinism and regard free will as a subjective illusion, or one must become a mystic and regard the discovery of natural laws as a meaningless intellectual game.--Max Born

 

This chapter pushes the Huh Model (I believe) to its limits.  What I am going to do is compare the Huh Model to a similar model of the Gaussian Curve and from this comparison construct a simple theory that addresses the difference between “Certainty” and “Uncertainty”.  In figure 12-1 I have constructed six models based on the Agnesi/Grande curve (Left side A-1 to A-6) and six models based on the Gaussian curve (right side G-1 to G-6).  The models are paired with there corresponding model based on the number of units of “pi” in each pair.  From top to bottom; I started with 1, 2, and 3 units of “pi” then 5, 10, and 20 units.

 

 

Figure 12-1  Comparing the Huh Model to a Gaussian curve based model

 

Notice that the Huh Model creates an outer shell, see A-1, then when we add another +/- unit of pi as shown in A-2 an inter shell is constructed.  As we keep increasing the number of units of pi we end up with a core that has a diameter based on “a” in the formula as shown in A-6.  Once we hit the “a” diameter or inner core the model looks like it is starting to build around the inner core outward. The number of pi units I can add is limited on my computer because of screen resolution and cpu speed.

 

The Gaussian curve on the right behaves in the opposite way.  The first unit of “pi” builds a rough inner core, see G-1.  Then when the next “pi” units are added (G-2) a shell is built around the inner core and at the units of “pi” the outer surface is fairly round.  When we move up to 20 units of “pi” shown in G-6 you can see the thickness of the outer begin to increase.

 

I would have never thought the two curves would create a model in seemly the opposite way.  If they are opposite, what if one is made by construction and the other by taking apart or destruction.  Would this make sense?

 

Suppose the Huh Model is a model of construction.  If this were the case I get what I see in A-1 through A-6 and on and on, as long as I don’t reach infinity or in other words lose the flow or current.  As long as I have flow I’m getting more and more dense.  But what happens if I lose the flow or current?  For one thing I would stop growing, or storing the current or flow.  Would the model start to lose its current or flow?  I can picture several things that could happen; one would be nothing, or it could explode, or it could begin to slowly come apart.  If it did start to come apart I would think it would do this starting from the outside and work its way inward.

(A simple theory of what might happen).

 

If the Gaussian curve is a model of deconstruction, why is the math so complicated?  A better question would be: can we rework the math in the Huh model to match the Gaussian curve?  What if in our base formula

y = a^3/(a^2 + x^2), we simply change the plus sign to minus to get y = a^3/(a^2 - x^2).  The right side H1, H2 & H3 show the results.

Figure 12-2

 

As you can see in figure 12-2 releasing the compressed 'pi/2' units is not passive or linear but rather exponential.  Figure 12-3 shows the comparison of +/- 20 pi units with the equivalent units shown in the Gaussian picture G-6.

 

Figure 12-3

 

Again the difference comes from the extra 'pi/2' units we dealt with in chapters 2 and 3 as shown in figure 12-4.

 

 

Figure 12-4

 

 

 

 

If the Huh model does model the conversion of energy to mass then changing the sign would be a model of the reverse or the conversion of mass to energy.  In other words like chapter 8 Figure 8-15 shows for the magnetosphere as a releasing of compression (shown in left side of Figure 12-2).  When we release compression we are taking the ‘x’ or ‘time’ component out of the Huh model and with the ‘x’ or time component gone we have no order or predictability.  During the compression we know what both x and y are therefore we have the ability to predict with great accuracy every step of the curve that either ‘x’ or ‘y’ is based on the other.

The last paragraphs statements on "no order or predictability" are based on two conditions 1: the release is not done in a confined space "and" 2: what we are releasing has no flow like magnetism to maintain order.

 

The important thing to remember is in the Huh model, Figure 12-1 A-1 is constructed by the starting formula (a^/a^2+x^2) and the Huh model in Figure 12-2 is built using a^3/(a^2-x^2), or back to what I said earlier the '+' is construction and the '-' is release.

 

If 'x' is time then it appears the Huh model might be able to separate certainty and uncertainty into two logical categories that can coexist instead of the ‘either’ , ‘or’ philosophies of today. 

 

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