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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 5 Building a Working Model (from flow)
I had a feeling once about Mathematics - that I saw it all.
Depth beyond depth was revealed to me - the Byss and Abyss. I
saw - as one might see the transit of Venus or even the Lord
Mayor's Show - a quantity passing through infinity and changing
its sign from plus to minus. I saw exactly why it happened and
why the tergiversation was inevitable but it was after dinner
and I let it go.
We now have a mathematically simple, visual model. The question is: “What would it take to build a working model? While I have not built a fully functional working model, my goal in this chapter is to lay the groundwork to show that building a working model is possible. I hope to find out if all of the twisting, turning and inverting going on in the model could be duplicated and at the same time violate no law of physics. Hopefully when you look at figure 5-1 after reading this chapter you will start to see how fundamental this model is.
Figure 5-1
Let’s get started. The first thing we need is “space” or a place to build this model in. Space has many meanings ranging from a defined space to infinity. In the “Huh Model” space is defined by “a” in the formula y=a^3/(a^2+x^2), actually the space is a^3, and can be thought of as a simple cube with sides of “a” length. Figure 5-2 shows the cube.
. Figure 5-2 For now, when I speak of space I am referring to volume, (in the future I may change this, I'm not sure).
We also need a measure of distance and time. Time is “x” in our formula and a = distance. Our model is dynamic and “x” flows constantly into it for an infinite amount or infinite time. When we build this model we need to remember that “x”, whatever it is, is flowing into it.
In our formula y = a^3/(a^2 + x^2) you can think of a^2 as a flat thin sheet that fits inside of the a^3 cube and rests on the top of the accumulating “x”. Actually “y” is a measure of where this sheet currently is in the up/down direction and is a measure of the amount left to fill.
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We now have enough to build one quarter of the model. Did I hear you say huh? Here is how to construct the one quarter model: 1. You need a place to work; I used a laundry tub with its water faucet 2. A see through container (round, square or rectangular); I used a large plastic pretzel jar. See Figure 5-3 3. A see through plastic liner; I used a plastic bag from the produce section of the grocery store. The closer the fit of the liner to container the better. 4. Three feet of ¼ inch diameter flexible plastic tubing and fittings to fit the faucet and tubing. 5. Figure 5-4 shows a 1/4 inch hole drilled through the jar and the 1/4 tubing inserted. 6. Figure 5-5 shows the plastic liner inserted into the jar. 7. Figure 5-6 shows the hose clamp placed over the liner and jar top, but not tightened. (We will tighten the hose clamp after the jar liner is filled with water and most wrinkles on the sides removed.
Figure 5-3
Figure 5-4
Figure 5-5
Figure 5-6
Figure 5-7 Experiment 1
Notes for experiment 1: Time 0:00 I filled the liner with water removing as many wrinkles as I could. After the liner was filled with water I tightened the hose clamp at the top. Then I started the water flow into the bottom of the container. Time 1:00 (time is in minutes) Not much has happened yet. You can see a slight wrinkling of the plastic liner. Note that as you fill the container from the bottom the water in the plastic liner will be forced out.
Time 3:00 You can notice a bulge near the bottom of the liner. This bulge is just water that is outside the liner starting to accumulate. As more water accumulates outside the liner you will begin to notice the liner being twisted. (Keep an eye on the twisting).
Times 5:00 through time 10 Notice the liner being crushed and turned as the outer pressure forces more and more water out. The liner becomes more twisted.
Time 14:00 The liner has completely twisted around several times trapping water in the lower portion of the liner. The “x” lines show the twisting and trapped water.
Time 15:00 The complete liner has been pushed close to the top of the jar.
Times 15:50 through 16:30 These show the top of the jar and as the liner moves through the opening the water trapped inside the twisted bag is released. Depending on the speed of the water flow and position of the tubing determines the amount of twisting coming through the jar opening. The pictures shown here have a small amount of twist.
Time 17:00 When the liner is pushed completely through the opening, this happens fast, the liner will flop over to one side partially filled with water. This water was trapped in the twisting of the liner. One thing to note that the water that now is in the liner was completely outside the liner before it passed through the opening, in other words we have inverted the liner and filling the outside.
If you look at Figure 5-1 we have almost created the portion of the model in the lower right hand corner of the figure. I say almost because our liner won’t allow the water to pass through. The plastic bag could be replaced with food coloring and “I think” should produce the same results. The results would probably show up better on a one half model. That we will try next.
We only needed a one directional flow to build this one quarter model. How can we build a model that has two directional or a plus/minus flow? My first thought was this is going to be complicated because I need two flows, one going in a plus direction and the other in a minus. What seemed complicated turned out to be very simple; just use a t-connector (Figure 5-8).
Figure 5-8
We can even achieve the same results on the model using something simpler than a tee-connector. A simple barrier or wall will give us the same two directional flow. See Figure 5-9. PICTURE OF A BARRIER
Figure 5-9
Both the tee-connector and barrier produce pretty much the same results of a one half model.
Picturing what will happen, gets considerably tougher. What happens is the model will produce two swirling forces and as that as the flow continues will begin to produce something that looks similar to a hurricane. I say similar because the plastic bag cannot cross itself like air or water.
Figure 5-10 Experiment 2
Notes for experiment 2: Time 0:00 I filled the liner with water removing as many wrinkles as I could. After the liner was filled with water I tightened the hose clamp at the top. Then I started the water flow into the bottom of the container. Remember this has a tee-connector.
Time 2:17 and 5:23 Not much is happening except we now have two pockets of water developing, which shouldn’t surprise anybody because we now have two flows.
Time 7:45 We are beginning to see two major portions starting to twist show at the arrows.
Times 8:19 and 10:22 From the top we see the effect of the opposite flows. Time 8:19 shows an arrow pointing to a force pushing the new water, under the liner, out of the jar. Time 10:22 shows just the opposite, the arrow is pointing to a depression in the liner that is becoming void of water. What is happening is the water is being forced by twisting out a long path through the liner and out the opposite side (where the opposite flow is).
Time 13:37 The void on the top is getting deeper, probably several inches to the top of the water.
Time 16:22 and 18:22 These show how much twisting is going on. On the 16:22 photo the twist on the liner looks like an hour glass. Time 18:22 shows as more water “+” and “-“ is creating a larger twist containing both flows.
Time 18:47 and 21:50 From the top the void on the left goes almost to the bottom, the photo at 21:50 shows the void almost completely collapsed.
Time 21:54 shows the liner pushed almost completely out of the jar. Again the liner has inverted and is being filled from the opposite side.
Building the full model: So far we have attempted to build the one quarter and one half portions of the model. The one half portion is the model on the lower left of Figure 5-1.
Building the full model becomes a little more difficult because we need to somehow build in the mysterious missing portion of the model. Figure 5-11 shows one way that may work.
This missing portion could be using something as simple as another jar. I haven’t tried this but it should work for one pass or one pi units. Dealing with the plastic liner becomes more of a problem. This is what it might look like:
Figure 5-11 To build a real working full model we need to find a way to remove the liner, this means we may need to add another set of flows. Remember in experiment 1 we had a “+” flow only and in experiment 2 we had a “+” and “-“ flow. The full model would work with only a “+” and “-“ flow if we could contain the pressure or were using a gas that were easily compressible. The problem is going to be generating the pressure for the final flip (the inside out of the liner). Another set of flows I believe would make it slow and natural, without the need for high pressure.
Figure 5-12
Figure 5-12 shows a pyramid shape that would probably produce the extra flip or twist.
If you have followed through the two experiments and one suggested experiment it should be apparent there is no magic needed. All of what is going on inside the model shown in Figure 5-1 is shown happening in the experiments with the exception of the plastic liner.
Similar to chapter 3 this chapter is also a sleeper. I will be referencing this chapter in later chapters.
In the next five chapters I will show examples of how this model can model some of nature’s greatest mysteries.
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