The Geometry of Evolution

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Annis Pierce
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The Geometry of Evolution The last time I had been to the farm of Leon, after a toast to his latest discovery, Leon showed me on his computer this drawing: The Reuleaux triangle "I think that this

1 The Geometry of Evolution The last time I had been to the farm of Leon, after a toast to his latest discovery, Leon showed me on his computer this drawing: The Reuleaux triangle "I think that this triangle has a special geometry that needs to be understood in order to unravel one of the last mysteries of Creation. " " Beautiful! "I said enthusiastically after having carefully studied the design:" What does it mean? " "The strange blue triangle at the center of the three circles that share their centers, is the section of a drill that is used to create square holes. But this is not one of its

2 fundamental properties. If you look carefully, it is a triangle with rounded sides which contains in its interior a perfect equilateral triangle. And the most amazing thing is that every point on the curved circumference of the outer triangle, called Reuleaux triangle, it is distant "π" from the opposite corner! This is the mysterious beauty of this triangle that reveals the "complex simplicity" of the Divine Mind... " "Extraordinary! "I exclaimed with admiration because I realized that Leon always pulled out new ideas based on his studies of geometry. "Tell me why you think it is a revelation of the simple complexity of the Divine Mind, to me that I am an unbeliever!" "I'm reading a book by Richard Dawkins: The Greatest Show on Earth." Leon replied to me: "After counting successfully the Infinity, after demonstrating the infinite unity of God and after having successfully discovered that maybe we need 14 positive dimensions and 14 negative dimensions to unify relativity with quantum mechanics, including the Devil in space-time, what I have to do is: to show that Darwin's theory is an incomplete theory. " I admired the "modesty" with which he enumerated his many scientific discoveries, and I applauded and then of course we toasted with two glasses of Nero d'avola to celebrate the new project. Before I left, Leon told me that he had informed his friend Tim Farrington of the new project and Tim had responded on FB with these words: "Rabbi, I can not wait to see your opinion on evolution. The infinite unity of God, continued through all 28 positive and negative dimensions, including the devil in space-time, and the unification of relativity with quantum mechanics, must be considered a good start for understanding the evolution of the species. I raise my glass to you, Rebbe. " Leon had concluded by saying: "I told him that I was grateful for his curiosity... but still did not know what would be the result of my research, but I thought it would be an interesting result... and that I would not fail to inform him, since he was the only person in the World who cared to know... " After a week here comes in the courtyard of my house by the sea the old white Landrover of my friend, the geologist Silvio Cassarino and on the seat beside the driver was sitting Leon. "Coming with us for a trip to the Cala Mosche s restaurant, are you? We are going to eat fish: Leon pays! " Silvio asked me.

3 More than my enthusiasm for the fish, I was curious to see if really Leon would have paid the bill, since the Rabbis are not generally known to be eager to pay, sice they spare no expense, just to save a dollar... So I got into the Landrover and I joined the party. Along the way we passed Porto Ulisse, and then the large pond of Marza, where the birds were swimming: "Ducks!" I said, but Leon corrected me by saying: "They look like ducks, but they are coots, ducks that are better adapted to the environment of the water! Nature adapts itself continuously... " I caught the ball and I asked Leon: "How is it going with your analysis of the Evolution of Darwin? " "Well, I think I have concluded..." said Leon. Silvio Cassarino intervened and said: "They are all lies. We are the victims of a plot by Aliens against the Earth. They are the ones who play with the evolution... " When we were sitting in the shade of the carob trees of that famous restaurant that is the farm of Cala Mosche, the conversation continued on the subject of evolution. Here, briefly, are the various points of view of my two friends. As usual I had no ideas, but the two of them were convinced of what they were saying. Theory of Silvio Cassarino. Silvio said that there were three assumptions: " 1- God created the immutable species as we see them without evolution? As a geologist I do not believe it, said Silvio. 2- Beings most advanced than us, Aliens from other planets, experiment with the evolution on Earth to see what happens. For me this is the most likely hypothesis. 3- God is responsible for both creation and evolution to have fun and see what happens. Interesting but unreliable assumptions. " Leon pointed out that Silvio theories were based on science fiction, but in reality they were only two scientific theories based on serious studies. Lamarck's theory that asserted that species change by themselves in response to environmental stimuli or survival needs. Leon explained: "Lamarck assigned great importance to the active role of organisms to change in response to environmental

4 stimuli, and found out that the use of certain organs or parts of organs, provoke modifications; that way they best address the needs of the animal's survival, according to the principle that the function creates the organ (statement somehow true, though in a developmental perspective of many generations and with completely different mechanisms from those projected by Lamarck). The amendments would then be transmitted to the next generation and the accumulation of acquired characteristics from generation to generation, would have resulted in the appearance of new species better adapted to the environment. This theory was disproved in part in the case of the Jews. After a few millennia in which they practiced circumcision, Jewish babies still are born with the foreskin. " Leon then went on: "Then there is Darwin. The evolutionary theory of Darwin is based on three fundamental assumptions: 1. Reproduction: all living organisms reproduce at a rate such that, in a short time, the number of individuals of each species could not be more in balance with the food resources and the environment put at their disposal. 2. Changes: between individuals of the same species there is a wide variability of the characters; there are slower and faster individuals, more clear and more dark, and so on. 3. Selection: There is a constant struggle for survival among individuals within the same species and with other species. In the struggle the fittest individuals survive, that is, those that best exploit the resources of the environment and generate more offsprings. Darwin stated that the evolution of new species is through a gradual accumulation of small random changes. Positive ones, that are favorable to the survival of the individual who is the bearer, mean that that individual can reproduce more easily and thus pass on their characteristics to their descendants. Each species has its own adaptation to the environment that has evolved through natural selection. The evolution of the species is one of the pillars of modern biology. In its essentials, it is due to the work of Charles Darwin, who saw in natural selection the main driver of the evolution of life on Earth. He found a first confirmation in the laws of inheritance of Mendel in the nineteenth century, and then, in the twentieth, with the discovery of DNA and its variability. "

5 I had the feeling that Leon quoted from memory something he had learned from Wikipedia, but I avoided to speak about it. When he finished explaining we ordered to the waitress our favorite dishes: I ordered a mixed grill of fish, with fried potatoes, Silvio a mixed fry with tomatoes salad and Leon grilled bream with salad garnish, of course with its scales, according to the Jewish tradition, because the only kosher fish is the one with scales. Together with the bream Leon ordered grilled vegetables. They did bring us a carafe of the house red wine and roasted bread bruschetta with garlic and cherry tomatoes of Pachino, to kill time. After drinking his first glass of wine Leon continued: "Needless to say, I have my own theory on evolution. The geometry of space-time and the cone of certainty of vital events influence the development of species, directing the development towards more likely outcomes. I think there's always the hand of God around the probability that controls everything and manages all affairs. But I think that we are children of a "geometrical" God because its substance is the space-time in which we are immersed. Darwin was right about random changes that occur spontaneously but Lamarck is right too: it is the individual who must choose its most suitable cone of certainty to its survival, inside which is the probability that dictates the laws. Both in my view ignore the geometry of space-time and the tetrahedron of Reuleaux through which necessarily passes the individual after fertilization. After being divided into two fertilized cells it divides into four forming a Tetrahedron of Reuleaux! Is it a coincidence or a fundamental rule of Nature, a necessary step? Leon showed us in his ipad tablet this photo: The initial stages of cell division to form a Man

He explained that the initial stages of the fertilized cell division pass through the geometry of the Tetrahedron of Reuleaux.

full of tetrahedrons of Reuleaux. How can you deny this fact?

"Richard Dawkins is an atheist, of course, in addition to being a fanatic Darwinian, and tries to prove that evolution is concerned only with the random

6 He explained that the initial stages of the fertilized cell division pass through the geometry of the Tetrahedron of Reuleaux. He showed us this: The tetrahedron of Reuleaux "As you can see the development of cells during division is in accordance with the geometry of space-time full of tetrahedrons of Reuleaux. How can you deny this fact?" We had to admit that it looked like Leon was right and we did follow our approval by a solemn toast. "To life. Le Hayyim! " said Leon toasting. "Richard Dawkins is an atheist, of course, in addition to being a fanatic Darwinian, and tries to prove that evolution is concerned only with the random mutations of the genetic program that causes change. But how can he ignore that behind all this void, there is always the scent of God's mind! " Then he showed us another drawing, and went on to explain: "The spiral of DNA reflects the spiral geometry of the quantized space-time. The DNA spiral

7 "The Tetrahedra that fill all the empty space-time affect the geometry of the DNA, because as I have shown in the Talmud of Scicli, the various tetrahedra join together forming very twisted spirals according to a very compact ABAB symmetry. Otherwise in the gap would exist nothing: the Eternal Father forbid! "To which followed another toast and even Silvio Cassarino smiled. Then we ate in silence. When, after drinking coffee, seeing that Leon did not hasten to ask for the bill, I got up and went to pay, after saying: "Let me have the honor to pay... I do not have any theory to contribute to this scholarly meeting, but at least I learned something new!

The field of action of God

The field of action of God After the summer in October Leo organized a barbecue with sausages and Nero d'avola in his farm of Scicli to which he invited all the members of the Academy of the Kabbalists,