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Huh? A Model of Space, Infinity and Flow |
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Working Draft Copyright (c) 2005 - 2007 Jim Imboden |
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Chapter 3 Making the Model Work
"The problem is not that there are problems. The problem is expecting otherwise and thinking that having problems is a problem." -Theodore Rubin
At this point we have a simple core model defined in chapter 2 Fig. 2-8 with a slight problem; it won’t work. When we try to turn the knob on the model it starts to bind up.
There are four different ways or combinations of them that I think will get the model to work (there may be other ways). Remember I am only defining a model, the use of the model will dictate how it works.
The four ways are:
1: Rotation
Figure 3-1 This is what the standard rotation for the large circle looks like.
If I treat each piece of the pi/2 in Fig. 3-1 as a slice of pie, I can place them on the smaller circle by placing the pointed end of the pie on the circle. To do this the smaller circle would need to rotate the amount of (pi/2)/15 for each slice as shown in Fig. 3-2.
Figure 3-2
The rotation shown in Fig. 3-2 needs a slight amount of compression but it appears to be constant for the first 90 degrees of turning the knob.
2: Compression When I look at the model and think about compression I picture a line of springs pi/2 long that gets wrapped around the circles. Going around the large circle there would be no compression. Going around the small circle I picture loading the springs and pushing the spring closest to the starting position. As I do this the first springs compressed more than the last one loaded. Think of being in a crowded theater and someone yells fire and the exit door is locked. The first one to the door will be crushed while the last person in line won’t feel any of the compression.
Figure 3-3
Figure 3-4 The thing to remember from Figures 3-3 and 3-4 is the compression is not equal. The point where the "+" and "-" meet is more dense than any other point for that wrap.
3: Twist Twist can be seen somewhat in Fig. 3-4 on the bottom spring, when a spring is compressed at an angle like shown the coils in the spring want to unwind in a more natural position. See chapter 11 on experiments.
4: Inversion Inversion is the complete turning over of the system or changing the signs of all the numbers.
Figure 3-5
Fig. 3-5 shows the main problem of the model, it can not go past “0”. Forcing the knob to turn is what causes the rotation, compression and twisting effects. If we had an inverted model attached to our model that action of turning the knob wouldn’t cause any of the compression, rotating or twisting. Fig. 3-6 shows how this inversion would work. When turning the knob starts a build up of force or energy, that energy or force is transmitted into the inverted portion of the model in opposite directions. This would keep the model in balance.
Figure 3-6 When I look at Fig. 3-6 and think about what you, the reader, are seeing, I am concerned that you might see it as something complicated. Let me assure you it is not complicated, confusing yes, but not complicated. Remember the model is a model of space and infinity, and the concept of infinity can be difficult to grasp.
The following figures Fig. 3-7 thru Fig. 3-11 show how I think of infinity and the issues in dealing with it.
Fig. 3-7
I think of two people that can travel in one dimension only and they live in a “flat world”. The individuals decide to walk to the end of their world, one going to the left or counter-clockwise and one to the right or clockwise. In Fig. 3-7 I put a “minus” hat on the one walking left and a “plus” hat on the one going right. Using the symbols minus and plus is just a simple way to see what is happening and relate it to our model.
Fig. 3-8
Fig. 3-8 shows them walking, each step they get further away from each other. They continue walking and walking, for years, light years, eons and eons. Then one day they look ahead and they see something faint in the distance.
Fig. 3-9
When they walk further they begin to see that it is another person, walking further they see it is the other person. As they reach out to shake the others hand what would happen? It wouldn’t be a pretty sight. As they crossed the point of infinity they would instantly be pulled to the opposite infinity.
I know what you are thinking, “their world is round”, and the worst that would happen is they might bump into each other.
The Model is Not Round Their world is not round. The model for “Round” places the knob in the center of the large circle; this model places the knob at the base of the small diameter.
Remember I said they live in a “flat world” and round is not flat or one dimensional. The struggle the “plus” and “minus” people are having is trying to create a round world.
Back to “plus” and “minus” in our model. They know if they cross the line there will be big problems, but they would like to get back. Turning around is not an option because minus needs to go clockwise and the plus needs to go counter-clockwise. What they could do, is walk back on the bottom (if possible).
Fig. 3-10
They are basically walking in the same direction, and hey, who says gravity applies to one dimension.
Fig. 3-11
Finally they will meet again, face to face. Remember the started back to back. We now have a minor problem, to continue they must some how pass each other. In doing this they will need to twist, compress or rotate around each other. Or they could just change hats, because at this point they are basically the same, and the hat only defines future direction.
Summary:
You might be thinking that this whole chapter is dull and meaningless but I suggest you print a copy and have it available as you continue reading. I will be making several references back to this chapter later in this work.
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