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Ode to infinity.

 
   There is no more beautiful language than Gogol. Without literary talent, we try to imitate him in our presentation.
   Do you know what a mathematical infinity is? No, you do not know what a mathematical infinity is! Consider an asphalt path that exits from the "minus infinity" and goes to "plus - infinity", having neither beginning nor end. Mentally we will go on a journey along this path, marking the starting point as "zero". We will count the steps and number them with integers. Each step is a new number. We get the image of the numerical axis, known to all mathematicians. The integers on this axis are just an infinite set. Next, we will come up with some intermediate goals that would bring us closer to infinity. We will mark (THOUGHT!), Sticking a twig to the ground on the roadside, any achievable goals, descriptions of which are found in our real life or similar, which can be described in words.
   First, for example, (mentally!) We will reach a million, we will make a million steps. Approached the end of the numerical axis? - Unfortunately no. Because the finish is still an Infinite number of steps. Then make a million times in a million steps. Approached the end? - Not at all. Now we will make a million times a million times in a million steps and all this in a millionth degree! Approached? - And again, no. Because to the finish is still Infinity. Moving by any similar dashes, even the most heaped combinations of many millions and many "degrees in degree" and any other functions, we will not approach the goal ever. This is the logic of mathematics. A simple person can not get to infinity.
   But a simple person can not just be so simple. He is persistent. He will see how much time we may need. Maybe this side will come close? Let our speed be a million in a millionth power of steps per second. This is more the speed of light. Will we reach a million million in a year? - Alas, alas. We will not get to the finish line and by one percent. And we will never get to the starting point, as sometimes happens in modern theoretical astronomy, with its closed model of the universe, that's for sure.
   Let's try to voice our travels to infinity. Mentally, we number all the letters of the Russian alphabet by numbers from 10 to 42, the space between words is 43, and punctuation marks will be denoted by numbers from 44 to 50. Let's add here the main letters and signs of foreign alphabets, numbering them with numbers from 51 to 99. Thus, if we dismember all the integers that occur are divided into pieces of two digits (for odd numbers, for simplicity, one digit is discarded), we get the opportunity to "voice" all the numbers we meet. So, for example, the number 14101410 will sound like "eider". It turns out that somewhere far away on this numerical axis there are many-valued numbers that represent the encoded novels of all known and forgotten writers. And also everything that will be written by any writers in the next thousand years! But these places will not be infinite, nor will they bring us closer to it. Moving on, we will meet these novels again and again, in any combination, two and three times and a million times a million times! And also we will meet all possible editorial and censorship edits of all these novels and novels in any quantity.
   Unfortunately, here the imagination of the authors is exhausted. But the main idea is this: everything that we can honestly fantasize, not using Infinity itself (implicitly, secretly) or its mathematical designation (∞) - nothing and will never bring us to infinity.
   But ... Mathematicians are not ordinary people! They are cunning, inventive. All mathematics - it's all tricks. The simple accumulation of knowledge here is unacceptable. And it turns out that there are mathematical tricks that easily deliver us to Infinity! They are purely speculative and physically unworkable. As, however, it is impracticable and most of what was mentioned above. But it is quite feasible mathematically. A simple example. We will move with variable speed, with acceleration, according to the following algorithm. In the first half of a second, we'll go one step. Then for the next "half of a second," we'll go one step further. Then for "half from half from half of second" one more step and so on. It is easy to calculate that in just one second (!) We reach infinity. That is, for a time equal to (1/2 + ¼ + 1/8 + ...) = 1 second, we will advance to 1 + 1 + 1 + 1 + 1 + ... steps, which in sum gives infinity.
   On this example you need to think hard. After all, so in life, one lives honestly all their lives and everyone is waiting and waiting for them to be promoted. But it's all useless. And this is right and even fair. Because such honest - there is no place up there. Because then where to put the dishonest ?! Honest nature rejects any algorithms (such as you to me, I to you, to prepare and make an impression, to get a shortcut to truths, to get into graduate school, to defend myself, etc.). A cunning, born for high positions and positions, they use no shame absolutely all unpretentious but effective algorithms and very quickly find themselves on the very top of the service ladder. And already there they sit, rocking their legs and experiencing satisfaction. It only remains to add that at critical moments (the war, the economic crisis), all these cunning quickly fall down and high places are occupied by honest, capable of action. Of course, before the situation improves.
   There is a funny and very unobvious example, when we will move on the same "halves of the halves" in time even reducing the mileage. On the first piece (half) moving on one second step, on the second piece (half from the half) by one third of the step, and so on. It turns out that (½ + 1/3 + ¼ + 1/5 + ...) also give Infinity in the sum. That is, the sequence (½ + 1/3 + ¼ + 1/5 + ...) turns out to be substantially more powerful than (1/2 + ¼ + 1/8 + ...). Even more powerful than (1 + 1/2 + ¼ + 1/8 + ...) or (2 + 1 + 1/2 + ¼ + 1/8 + ...) and the like. The analysis shows that in these examples we have reached infinity, implicitly laying the infinity itself in the algorithm of motion. That is, in our case, dividing one second into an infinite number of pieces (1/2 + ¼ + 1/8 + 1/16 + ...).
   We got acquainted while with the whole numbers. But you can consider all the real numbers on the numeric axis (with decimal places after the decimal point). Then all previous voiced collected works, all our grandiose travels are freely placed on the tiniest bit of the numerical axis. Even just in one physical number! It turns out that there is another, more powerful type of infinity, which is discussed below.
   Apparently, there are infinitely many different kinds of mathematical infinities, differing in power. You just need to come up with an algorithm for creating them and prove that it is correct. And among all the infinities, a simple sequence of integers, which we were able to overcome only by cunning, is the least powerful. This was proved by mathematicians. Although it already contains all human knowledge (if you number the letters in the manner described above). This is the so-called ACCOUNT MANY. After him comes a more powerful set of real numbers (decimal fractions), or in the common people, an INCONSISTENT QUANTITY, or on scientific - CONTINUUM. Simplically speaking, the continuum is a countable set of countable sets, which already (also proved by clever people) is not countable. Even more powerful infinity can come up with. But to come up with such an infinity, which would stand between a countable set and a continuum, so far nobody has succeeded. How could not and prove the impossibility of this. Dare, young men! Try, for example, to construct (prompt the idea) a certain "logarithmic sequence" of "logarithmic sequences".
   Well, let's say that the described examples of someone and are interested. But this is math, abstraction. But in fact, in reality is there an Infinity? Can I touch, see, feel? - Such an infinite set, and in addition, spatial, three-dimensional, is the universe. Look at the starry summer night in the sky and you will feel it and see. You will feel like a speck of space. You will see the Universal Continuum.
   Furthermore. Infinity is present around us not only in the form of spatial infinite length. Our analysis shows that it, very possibly, exists in the form of our infinitesimal density. In the sense of an infinitesimal density of both the universal Gukum and, consequently, the density of oscillations of this Guk, if one may so express it. That is, the space is likely to be really empty, but at the same time it is ... resilient! And at the same time it allows us to exist in ourselves localized oscillations, and hence in our - elementary particles, Matter!
   Sometimes, however, carried away by adjusting to a single standard, scientists (and again, mostly mathematicians) add Time to the universe, representing the universe as a four-dimensional space. But this is already too much. It's unnecessary for a simple person. Still, the space does not tick through every meter, and the clock ticks through every second. In time, you do not fly back and forth, but in space it's easy. Do not mix the long with the liquid or hot with the loud one.
   There is an assumption that all mathematical science has some reflection in the universe. That is, any mathematical formula has a corresponding physical object or process in the universe! And if he has not yet, then a person can do it! And vice versa. Of course, not all of these matches have been found. To search for these correspondences is the task of the science of Physics. Mathematics develops to a greater extent in itself and to a lesser extent pushed by physics. But physics ... also develops more in itself, but in its experimental part, and to a lesser extent pushed by mathematics. Thus, mathematics and physics are like two sciences moving towards each other. Someday they will merge, and, perhaps, in an ecstatic ecstasy. It is not excluded that our theories are the beginning of this ecstasy, as if a prelude.
   Let us return, however, to speculative experiments. If we mark a real number on the numerical interval and randomly throw a needle into this segment, then the probability that the needle will be stuck exactly in this number is theoretically zero. Nevertheless, throwing a needle, we always get into any number every time, although for this number the probability was zero! For this very reason, and our Galaxy, and the Solar system and the Earth and our terrain at some instant and in some piece of space exist. And it was we, people, with our consciousness who were fortunate enough to be in this place and observe all the processes taking place here.
   Many billions and quadrillion years ago, in the Universe, once again in an infinite series, there were some perturbations, super global cosmic fireworks and catastrophes, and now existed elementary particles. And already from these particles through the medium of atoms and molecules everything that surrounds us was formed. It is possible that the process of accumulation of elementary particles passed immeasurably longer than the time of the appearance of galaxies, stars and planets. Perhaps even that the process of formation of the atomic universe takes up the whole "minus-infinity" of its existence right up to the foreseeable past. That is, if we speculate backward all the cosmic processes, they will naturally go to the minus-infinity, and in any negative time we will find the present elementary particles and atoms, although their concentration may gradually decrease, by minus infinity, turning to zero. This is something to think about by scientists.
   If, however, we speculate all the processes in plus-infinity in time, then perhaps we will still meet the birth of new atoms from the cosmic background, radio noise. That is, our time may not be completely stable. But 99% of all atoms have already arisen, galaxies have formed.
   We, therefore, were happily born already when everything was formed. This is often the case with children who are born every time in a better country and with a better ruler, which is painted in a literal. Later this usually turns out to be untrue. However, it is still impossible for us to see what will happen to the atomic universe in the distant future, plus-infinity. It remains only to think deeply. Shrink to the point ?! Will it fly apart in different directions? Or maybe everything will fade and then the deathly darkness and the same silence? How sad ...
   But in the foreseeable ten or two billion years (plus or minus five billion years) we will have fun! We'll still bounce! We will flood the neighbors from below and enter the neighbor from the top! Nothing has disappeared and will not disappear from the universe over the years. There are only movements and interconversion of substances. Nothing and will never appear again, except for the eternally existing material universe. And all this infinite variety of universal forms and their entire time sequence to a single atom and a single instant of time are mutually unambiguously mapped onto a rectangular four-dimensional coordinate system "x, y, z, t". And even on the one-dimensional axis of real numbers "from minus infinity to plus infinity," for example, to any four cuts. But this is not enough for anyone.
   There are not the biggest stars or galaxies or black holes - there are always more. There are no largest empty volumes without stars, comets and asteroids - there are even more extended ones. You will never reach the end of the universe, moving in any direction.
   Here is one Internet - a regular who writes. Take, for example, a neutron flying away to infinity. He has already ceased to interact with all the particles close to us. Its already, as it were, no. So is it there or not? - We answer: but from infinity, this neutron will be replaced by as many absolutely same neutrons. Nothing will change. And there is nothing to worry about.
    And you will never return to the starting point, as some scientists say. But this is not a simple lie, but an implicit, forced demonstration of its impotence in their attempts to understand the structure of the universe. So often happens in science: when they can not solve the problem, then they begin to fantasize. Then these fabrications become completely harmless scientist's enemies, like the theory of a closed universe. This is not even bad, because one of the next fantasies can stumble on the truth. Worse, when they start to just be irresponsible to invent, forgetting to say that this is only a fantasy. And it also happens that pursuing the material result (degrees, rank, authority), some scientists try to give their nonsense for profound scientific truths. This is absolutely no good at all. It's a shame, guys, doctors and candidates! And then, as with beggars it turns out. Go find the real one who needs it. One for a hundred real, the other high-paid professional liars. So with scientists. You come with the truth, and there they say: yes, here you are hiding hundreds, go to the differences of the present!
   Our Galaxy and the period of time that we or all humanity, or even the whole terrestrial biosphere, is an infinitesimal part of the whole space and time of the Universe. Infinitely many times there have been and will arise galaxies, stars, life and civilizations. And many times they have died and will perish. There were and will be explosions of stars and collapses of star clusters with subsequent explosions.
   What modern astronomers tell us, all these collapses, explosions, super dense states, super holes and some primary "fluctuations", most likely it was, but not as a global picture of the world. These are just local episodes in the endless history of the universe. All these cases were endlessly many times in different parts of the universe and many more times will be repeated. Tap your finger anywhere in your apartment - and here was once the epicenter of a global space disaster! And not one, but infinitely many! During all these disasters, these squeezes and subsequent explosions, the substance passes through all the stages outlined by science-like terms: both the "Planck era" and the "De Sitter era" and many other "eras". Maybe even the "era of the Marquis de Sade." Perhaps at a maximum compression some galactic cluster and is compressed to the size of one atom or even its core. Or maybe it's just that, just recently, just a hundred billion years ago, it's been released. But all these monstrously terrible stories should not make us fixate only on our scrap of Time and the Universe and declare it something special and in addition someone created. And even more so to think up God for an explanation of all that is happening.
   Although, if we look at the last sentence, we, as authors, have done everything possible to preserve the ancient terminology. We found in the universe a place for both God and the triune essence. This place - in the abbreviation of the name Infinite Homogeneous Guk. This is God the Father. God son is Loki, matter. And God the Holy Spirit is Life, the secrets of which are revealed on our website.
   Our life experience always encounters finite phenomena. The capacity of human brains is also limited. For this reason, scientists are constantly trying to represent the universe as a flawed, closed, not too long ago educated. All for the sake of human psychology. All these theories of the "closed space", when moving along a straight line you get to the starting point (on the reverse side) or the theory of the "primary fluctuation", when the whole universe was suddenly formed from the point, it is nothing more than attempts to place infinity in our very finite brains .
   Sometimes a different path is chosen: the laws of all kinds of "relativity" are invented, which are not widely understood and confused by the brain. Even if the brains are made unnecessary, because these theories do not fit into them and exist as if by themselves. After all, there is an anecdote about the super-speed "by Einstein", when you can run very fast around the pillar and manage to do yourself a kick in the ass. These theories and laws, not according to the will of the authors, but, in the opinion of the people's leaders, serve to stupefy the people and ultimately to oppress it.
   Be that as it may, but in one of the places of the infinite universe is our Galaxy, which appeared approximately 100 billion years ago from a gas-like cluster, it is now not clear from which side, from what places and after what catastrophes sailed. Yes, and what a difference! From the remnants of this sparse matter, after the formation of the massive core of the Galaxy, about 10 billion years ago our Sun appeared. Here, the planets and our Earth rotate later, about 5 billion years ago from the remnants of the remnants after the formation of the Sun of that initial dust cloud. And then - Life, about which on our website. What was in our places or with our substance 101 and more billions of years ago we will never know, even if we invent a time machine. However, we are now wiser, and this worries us little. Because it can be reliably said that there was nothing special except what we see now in other Galaxies.