Is Pi Reasonable? - Alternative View

Is Pi Reasonable? - Alternative View
Is Pi Reasonable? - Alternative View

Video: Is Pi Reasonable? - Alternative View

Video: Is Pi Reasonable? - Alternative View
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PI, number is a mathematical constant indicating the ratio of the perimeter to the diameter of the circle. Pi is an irrational transcendental number, the digital representation of which is an infinite non-periodic decimal fraction - 3.141592653589793238462643 … and so on ad infinitum.

There is no cyclicality and system in the digits after the decimal point, that is, in the decimal decomposition of Pi there is any sequence of digits that you can imagine (including the sequence of a million nontrivial zeros, which is very rare in mathematics, predicted by the German mathematician Bernhardt Riemann back in 1859).

This means that Pi, in an encoded form, contains all written and unwritten books, and in general any information that exists (which is why the calculations of the Japanese professor Yasumasa Canada, who recently determined the number of Pi to 12411 trillion decimal places, were immediately classified - with such a volume of data it is not difficult to recreate the content of any secret document printed before 1956, although this data is not enough to determine the whereabouts of any person, this requires at least 236,734 trillion decimal places - it is assumed that such work is now being carried out in The Pentagon (using quantum computers whose processor clock speeds are already approaching sound speed).

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Any other constant can be defined through the number Pi, including the fine structure constant (alpha), the constant of the golden ratio (f = 1.618 …), not to mention the number e - that's why the number pi is found not only in geometry, but also in the theory of relativity, quantum mechanics, nuclear physics, etc. Moreover, recently scientists have established that it is through Pi that it is possible to determine the location of elementary particles in the Table of elementary particles (previously they tried to do this through the Woody Table), and the message that in the recently deciphered human DNA the number Pi is responsible for the very structure of DNA (enough complex, it should be noted), had the effect of a bomb exploding!

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According to Dr. Charles Cantor, under whose leadership the DNA was deciphered: “It seems that we have come to a solution to some fundamental problem that the universe has thrown to us. Pi is everywhere, it controls all processes known to us, while remaining unchanged! Who controls Pi itself? There is no answer yet. In fact, Kantor is disingenuous, the answer is, it is simply so incredible that scientists prefer not to bring it out to the general public, fearing for their own lives (more on this later): the number Pi controls itself, it is reasonable! Nonsense? Do not hurry.

After all, Fonvizin said that “in human ignorance it is very comforting to consider everything as nonsense that you do not know.

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First, conjectures about the rationality of numbers in general have long been visited by many famous mathematicians of our time. The Norwegian mathematician Niels Henrik Abel wrote to his mother in February 1829: “I have received confirmation that one of the numbers is reasonable. I spoke to him! But it scares me that I cannot determine what this number is. But it may be for the best. The number warned me that I would be punished if It was revealed. “Who knows, Niels would have revealed the meaning of the number that spoke to him, but on March 6, 1829, he was gone.

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1955, Japanese Yutaka Taniyama hypothesizes that "every elliptic curve corresponds to a certain modular shape" (as you know, on the basis of this hypothesis, Fermat's theorem was proved). On September 15, 1955, at the international mathematical symposium in Tokyo, where Taniyama announced his hypothesis, to a journalist's question: “How did you think of this?” Taniyama replies: “I didn’t think of it, the number told me about it by phone.”

The journalist, thinking it was a joke, decided to “support” it: “Did it give you the phone number?”. To which Taniyama replied seriously: “It seems that this number has been known to me for a long time, but I can now report it only after three years, 51 days, 15 hours and 30 minutes.” In November 1958, Taniyama committed suicide. Three years, 51 days, 15 hours and 30 minutes - this is 3.1415. Coincidence? May be. But - here's another, even stranger. The Italian mathematician Sella Quitino, too, for several years, as he himself vaguely expressed himself, "kept in touch with one cute number." The figure, according to Kvitino, who was already in a psychiatric hospital then, “promised to say her name on her birthday.” Could Kvitino have lost his mind enough to call the number Pi a number, or was he so deliberately confusing doctors? It is not clear,but on March 14, 1827, Kvitino died.

And the most mysterious story is associated with the "great Hardy" (as you all know, this is what contemporaries called the great English mathematician Godfrey Harold Hardy), who, together with his friend John Littlewood, is famous for his works in number theory (especially in the field of Diophantine approximations) and function theory (where friends became famous for researching inequalities). As you know, Hardy was officially unmarried, although he said more than once that he was "betrothed to the queen of our world." His fellow scientists have more than once heard him talking to someone in his office, no one has ever seen his interlocutor, although his voice - metallic and slightly creaky - has long been the talk of the town at Oxford University, where he worked in recent years … In November 1947, these conversations cease, and on December 1, 1947, Hardy is found in a city dump, with a bullet in his stomach. The version of suicide was confirmed by a note, where it was written in Hardy's hand: "John, you took the queen away from me, I don't blame you, but I can no longer live without her."

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Is this story related to pi? It is not yet clear, but isn't it, curious?

Generally speaking, there are a lot of such stories to dig up, and, of course, not all of them are tragic.

But, let's move on to the "second": how can a number be reasonable at all? It's very simple. The human brain contains 100 billion neurons, the number of pi decimal places generally tends to infinity, in general, according to formal signs, it can be reasonable. But if you believe the work of American physicist David Bailey and Canadian mathematicians Peter

Borvin and Simon Ploeu, the sequence of decimal places in Pi obeys chaos theory, roughly speaking, the number Pi is chaos in its original form. Can chaos be reasonable? Sure! In the same way as the vacuum, with its seeming emptiness, as is known, it is by no means empty.

Moreover, if you wish, you can represent this chaos graphically - to make sure that it can be reasonable. In 1965, an American mathematician of Polish origin Stanislav M. Ulam (he was the one who owns the key idea of the construction of a thermonuclear bomb), attending one very long and very boring (in his words) meeting, in order to somehow have fun, began to write numbers on checkered paper, included in the number Pi.

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Putting 3 in the center and moving in a spiral counterclockwise, he wrote out 1, 4, 1, 5, 9, 2, 6, 5 and other numbers after the decimal point. Without any second thought, he simultaneously circled all the prime numbers in black circles. Soon, to his surprise, the circles began to line up along the straight lines with amazing tenacity - what happened was very similar to something reasonable. Especially after Ulam generated a color picture based on this drawing using a special algorithm.

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Actually, this picture, which can be compared with both the brain and the stellar nebula, can be safely called the “brain of the number Pi”. With the help of such a structure, this number (the only reasonable number in the universe) controls our world. But - how does this management take place? As a rule, with the help of the unwritten laws of physics, chemistry, physiology, astronomy, which are controlled and corrected by a reasonable number. The above examples show that a reasonable number is also personified on purpose, communicating with scientists as a kind of superpersonality. But if so, did the number Pi come to our world, in the guise of an ordinary person?

Complex issue. Maybe it came, maybe not, there is no reliable method for determining this and cannot be, but if this number in all cases is determined by itself, then we can assume that it came to our world as a person on the day corresponding to its meaning. Of course, Pi's ideal date of birth is March 14, 1592 (3.141592), however, there is no reliable statistics for this year - alas, it is only known that it was in this year that George Villiers Buckingham was born on March 14 - Duke of Buckingham from „ Three Musketeers “. He was an excellent fencer, knew a lot about horses and falconry - but was he Pi? Hardly. Duncan MacLeod, who was born on March 14, 1592, in the Highlands of Scotland, could ideally apply for the role of the human embodiment of Pi, if he was a real person.

But the year (1592) can be determined by its own, more logical for Pi chronology. If we accept this assumption, then there are many more candidates for the role of pi.

The most obvious of these is Albert Einstein, born March 14, 1879. But 1879 is 1592 relative to 287 BC! Why 287? Because it was in this year that Archimedes was born, who was the first in the world to calculate the number Pi as the ratio of the circumference to the diameter and proved that it is the same for any circle!

Coincidence? But aren't there many coincidences, what do you think?

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In what personality Pi is personified today, it is not clear, but in order to see the meaning of this number for our world, you do not need to be a mathematician: Pi is manifested in everything that surrounds us. And this, by the way, is very characteristic of any intelligent creature, which, no doubt, is Pi!