EIK - Session 6 Part 9
There can be a very tight blow like that, may I have the picture back again please, and we get then a bounce-off. Then there could be another one where they go in first, and through; and then a fourth one where we have a smash up. Now these are all the things that go on in the cloud chamber when the physicist is bombarding, or sending a neutron or whatever it may be. You can really see these "bouncings around". And they are all to do then with refracting, reflecting, refracting-reflecting-smashing, or the one fourth one there where they are going almost the same direction and get in what they call critical proximity, and they get one of those mass attractions and they become one. If the angles of convergence are close enough you then really can see that mass attraction taking over, and see them pull over.
We had a very interesting experience in the navy in World War I. I told you I was in a transport service where we took these l30 men over. First were the German submarines, an enormous hazard. They tried running at night without lights. Of course they didn't want any lights, because the submarine was laying off there watching for silhouetting against those lights and so forth, lights were an anathema, so you didn't want any lights. So these enormous groups of ships were going together and they had a they wanted to stay together, and yet you had the enormous danger of following the other men at night there. This was a tortuous kind of game. On one occasion two of the big transports found, just in avoiding trouble, the end of one got overlapping the other one like this, pretty close. They were two big ships the Mount Vernon and the George Washington. Both big ships up in the 30 or 40 thousand tons big. And they get where, being in water, and being big ships, their mass was enough so that they began to attract one another.
That's one of the when you get big ships at sea, they really begin to show that mass attraction that you don't see of two apples sitting on the table where the pull of gravity is so great and the friction of the apple on the table, they don't try to go towards each other. But these two ships at sea and the acceleration, found that they were being pulled together. And as they got the seas were heavy and they just chewed each other up, and lost I think it involved on that particular case, there were some many were lost, about 20,000 human beings!
The captains of these two ships tried to see what they could do, because the mass attraction went if you tried to get too fast the bow would come over and so forth. They tried to figure out how one could accelerate a little faster than the other and they made trouble. They finally found that all they could possibly do was to open up an angle between them, and just keep them apart, the idea that they could pull apart until they could get out of that critical proximity, because of the second power business. They finally did, but they were actually a whole day pulling apart.
So, when I spoke about lines coming together one, you could have then light refraction, another one you could have reflection real bounce off. You could have a smash up. Or you could have angular convergence be so delicate that you would have critical proximity and a possible fall in. Those are all the things that happen in the cloud chamber this is all the physicists deal in. And this is exactly what the mathematician has completely lost. He has lost all the privilege of the thing, because he says the lines are going thru the same point at the same time. This is typical, again, of what these false assumptions that superficially say "It's obvious they said, two lines go through a point, anybody can see that two chalk lines on the blackboard." But the actual fact, if I do it on the board, here, chalk or whatever it may be look at it here, you will see it literally cross exactly like two, let's go in the snow, and you have this tire go this way, and the next one, the top one is, quite clearly, separate. It always is.
So, being completely experiential, completely operational, these are the kind of very exciting informations we get. So now we're playing a geometry where we don't get deceived. And this is very, very important when dealing in all those, because it uses vectors, always, my geometry is vectorial.
Now this brings me then to explaining to you a little about my grand strategy, when I was young saying, "I don't think that Nature has any Department of Physics, Mathematics," I said that to you, "Biology, and has to have department meetings to know what to do when a leaf drops in the water." I said "I think she has only one department, and I would like if I can to find what it is. Because, the chemistry of it says it is very simple. It says H2 O. And that's the way it associates, in a very beautiful low number. So if I'm going to do my geometry, and I didn't like, I said, at all the geometry where the teacher said, 'This is a ghost cube', and it didn't have any longevity, it didn't have any heat, it didn't have any weight, "I want to get those qualities in."
Now, I'm not the first one who has wanted to do that. The scientists going really back to Babylon were trying very hard to do that when they chose the 60 minutes and 60 seconds as a fraction, hoping they'd be able to correlate it with the circle and so forth of trigonometry and we have then, the scientists having x,y,z coordinates, and then they needed to have those qualities of mass; so they couldn't find, really, anything. So they very arbitrarily, getting into the centimeter as nice as it is, it is o.k. in relation to decimal system, if decimal system is what nature is using, but the arbitrary thing is decimal because we've got five fingers on each hand. So they insist, then, that it's going to be decimal.
So we have then the centimeter one cubic centimeter, and it is really a cube, cubic centimeter with water they said, now we have what we call a gram. And we know that the weight of that water is the basis of weight in relation to volume. We want the weight and volume coming together. Then they found that the water changed its volume with temperature. They hadn't thought about that and that became very upsetting thing, so they finally had to add that 4 degrees centigrade in the temperature there, then it fills one cubic centimeter. That gave you then, the official gram. So then we have, I spoke about dealing in weight, lifting a given weight against gravity, a given distance. So, lifting one gram one centimeter in one second CGS this is the centimeter gram second, and in relation to x,y,z coordination, this became the built-ins. But even then, they didn't have time in there. So the longevity, it didn't say how old the water was. There was nothing in there to really identify time. So I became interested, and I said "Nature does have her time, because I find that you are just so old, and I'm so old, etc. There was a time dimension. I'd like to have that in there.
So, here is the way my own strategy began, you might as well just know because this goes really, way way back. So, in physics, mathematics in my preparatory school for Harvard, I became very interested in, for instance, the fact that Avogadro oh, I liked vectors. I said that if I used the vector, the vector is an experience. And does represent an event. And does represent an amount of physical Universe as mass, going in a given direction at a given velocity. Because velocity then has both has time in it. So this is very satisfactory so I got both frequency and time all of these things nicely in there, and those kind of vectorial lines are beautiful because they don't go to infinity. Again, the mathematician kept telling me about infinity and I said, I remember when the teacher said "This line goes on to infinity," and I said "have you ever been there?" She said "No". I said "how do you know it goes to infinity then?" At any rate, so I said "Well where does the other end go to?" She said "infinity." I said "which way is infinity, then?" So she couldn't tell me which way infinity was, and I didn't like this infinity very much. I liked something , because I also had never personally experienced infinity, and I'd like to have something that went along with my experience. So I like vectors because they are an absolutely discrete length of line. They do not have inherent extension they are just exactly what you see there.
So I thought, I wonder if I can't get up a geometry out of vectors. Because that then would have then the time quality, and would have the velocity, and the velocity and mass impact converted to heat, so it would have all the elements of experience in it. So if I could only get a geometry of vectors, that would be great. Then came the moment in my learning about science that we were learning about Avogadro. And Avogadro had a very extraordinary intuitive awareness, I spoke to you earlier about the human beings, and the five lights in the sky and becoming interested in it. I also spoke to you about Priestly making his experiment with fire under a bell jar, and how Lavoisier identified he said why the products of the fire added up to more than the weight of the things he put in it. Which was because something else had joined in, and it came out of the "nothingness" which was the air, out of this then we get for the first time that elements were gases. And this was so terribly important as to really open up as I said, thermodynamics and everything. It is not surprising that the next five elements to be discovered were all gases, and it was because we had the enormous competition of who was going to run the ocean world, so the French were putting up money for their scientists, and the kings of France and the king of Spain, and everybody was putting up money for the scientists and so we have Lavoisier is French; and incidentally, one of the most extraordinary things that society ever did that was blind and short-sighted was that in the French Revolution they cut off Lavoisier's head. Of all the heads to cut off! I can't think of a worse choice. At any rate. He was so excited, he introduced then this gas business, and realized that it was the very essence of the understanding of steam.
Therefore, the English, who did want all the Great Pirates had headquarters in England, so they were putting up money, so Cavendish the next five chemical elements were all gases were all Cavendish's. Now we have enormous preoccupation with these gases Boyle and others, and amongst them was an Italian scientists, Avogadro, and Avogadro very astutely looking at all, comprehensively not to being too specialized, looking at the total idea of total gases as his patrons came and said I want you to catch up to these boys, and we'd better have better steamships than those other boys or what ever it is. Avogadro then said, "it looks as though that all gases under identical pressure and heat would disclose the same number of molecules for given volume." "Boy, I said, this is something!" He then went onto prove it. Suddenly then we have volume and number for a plurality of gases which are elements. And you know how that elements are elements because they are unique were coming together volumetrically and number-wise, which is very much better than just putting water into a cube. Nice! So I said "It could be because elements go through their liquid, their gaseous and their crystalline states there seemed to be that kind of inter-transformability. And the only reason that certain things are crystalline in our planet is its relative conditions of this part of Universe. There has to be this set of heat. And in the sun they're going to be incandescent, they may be plasmic. I see then, because the elements can go thru liquid, gaseous and we might then think about all the elements under some identical conditions. So instead of just saying under identical conditions of heat or pressure. That's what he has said about the molecules of gas. I said, it could be, you could generalize that, and all elements under identical energy conditions, which means under either heat, or pressure, or any of them, might disclose the same number of somethings per given volume. I don't know what is going to show up. But I thought, that should be more or less the nature of the generalization. So I said, "If then, I want to have a geometry made of vectors, and all the energy conditions are the same, then all the vectors will be the same. That's wonderful! " So I say, it not only means they are all going to be the same length, but they are going to be converging at the same kind of angles. I said, can you make a model where all the vectors are the same length, and they are all converging and also, but they have to take care of the actions and reactions and resultants so they must be angles joining angles at both ends of the lines. Can I get a system where all the vectors are in a closed system? All the same length? and all the angles are the same? And that turned out to be exactly what you are looking at up here.