It happened again a few weeks ago. I keep having these theories all day. Day in day out I can’t keep my mind from wandering. Thinking up new questions, imagining and finding answers is what comes naturally to me. Yet I can’t help but I feel annoyed every time when just like a few weeks ago I discover somebody else already had a theory about something I thought to have thought of first. Until that point I thought to be the sole inventor of it, this time it was a Chine emperor from a 1000 years ago. Though I must admit it must be already impossible to still have an original thought in this world. Everything in the spectrum of viewpoints in this world must have been experienced by somebody before, making it impossible to ever really be first at all.
Hell, on the upside, discovering somebody has had my theories before me enables to me to verify that at least my mind is up to something and it’s not all deluded pondering. The main thing about my idea’s and theories is that I have no way to verify them. They have always just come naturally and are the sum of following logical conclusions in my mind. More like a pathway with doors in which I keep getting into new rooms and have to choose a next door. The door to chose next always comes naturally like connecting the dots.
Now a few days ago it happened again. I came across a theory of mine (though in a slight different matter). This time I thought of putting the full one online for the first time. So I won’t be annoyed and discouraged to do so later when I find out the idea is already taken by somebody ells.
The theory I came across this time is “the infinite monkey” theorem. As stated on Wikipedia:
“(The infinite monkey theorem states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type a given text, such as the complete works of William Shakespeare.)
Variants of the theorem include multiple and even infinitely many typists, and the target text varies between an entire library and a single sentence. The history of these statements can be traced back to Aristotle’s On Generation and Corruption and Cicero’s De natura deorum (On the Nature of the Gods), through Blaise Pascal and Jonathan Swift, and finally to modern statements with their iconic simians and typewriters. In the early 20th century, Émile Borel and Arthur Eddington used the theorem to illustrate the timescales implicit in the foundations of statistical mechanics.
There is a straightforward proof of this theorem. As an introduction, recall that if two events are statistically independent, then the probability of both happening equals the product of the probabilities of each one happening independently. For example, if the chance of rain in Moscow on a particular day in the future is 0.4 and the chance of an earthquake in San Francisco on that same day is 0.00003, then the chance of both happening on that day is 0.4 × 0.00003 = 0.000012, assuming that they are indeed independent.
Suppose the typewriter has 50 keys, and the word to be typed is banana. If the keys are pressed randomly and independently, it means that each key has an equal chance of being pressed. Then, the chance that the first letter typed is ‘b’ is 1/50, and the chance that the second letter typed is a is also 1/50, and so on. Therefore, the chance of the first six letters spelling banana is (1/50) × (1/50) × (1/50) × (1/50) × (1/50) × (1/50) = (1/50)6 = 1/15 625 000 000 ,
less than one in 15 billion, but not zero, hence a possible outcome.
From the above, the chance of not typing banana in a given block of 6 letters is 1 − (1/50)6. Because each block is typed independently, the chance Xn of not typing banana in any of the first n blocks of 6 letters is
As n grows, Xn gets smaller. For an n of a million, Xn is roughly 0.9999, but for an n of 10 billion Xn is roughly 0.53 and for an n of 100 billion it is roughly 0.0017. As n approaches infinity, the probability Xn approaches zero; that is, by making n large enough, Xn can be made as small as is desired, and the chance of typing banana approaches 100%.
The same argument shows why at least one of infinitely many monkeys will produce a text as quickly as it would be produced by a perfectly accurate human typist copying it from the original. In this case Xn = (1 − (1/50)6)n where Xn represents the probability that none of the first n monkeys types banana correctly on their first try. When we consider 100 billion monkeys, the probability falls to 0.17%, and as the number of monkeys n increases, the value of Xn – the probability of the monkeys failing to reproduce the given text – approaches zero arbitrarily closely. The limit, for n going to infinity, is zero.
However, for physically meaningful numbers of monkeys typing for physically meaningful lengths of time the results are reversed. If there are as many monkeys as there are atoms in the observable universe typing extremely fast for trillions of times the life of the universe, the probability of the monkeys replicating even a single page of Shakespeare is zero.
Ignoring punctuation, spacing, and capitalization, a monkey typing letters uniformly at random has a chance of one in 26 of correctly typing the first letter of Hamlet. It has a chance of one in 676 (26 × 26) of typing the first two letters. Because the probability shrinks exponentially, at 20 letters it already has only a chance of one in 2620 = 19,928,148,895,209,409,152,340,197,376 (almost 2 × 1028). In the case of the entire text of Hamlet, the probabilities are so vanishingly small they can barely be conceived in human terms. The text of Hamlet contains approximately 130,000 letters. Thus there is a probability of one in 3.4 × 10183,946 to get the text right at the first trial. The average number of letters that needs to be typed until the text appears is also 3.4 × 10183,946,[note 4] or including punctuation, 4.4 × 10360,783.
Even if every atom in the observable universe were a monkey with a typewriter, typing from the Big Bang until the end of the universe, they would still need a ridiculously longer time – more than three hundred and sixty thousand orders of magnitude longer – to have even a 1 in 10500 chance of success. To put it another way, for a one in a trillion chance of success, there would need to be 10360,641 universes full of atomic monkeys. As Kittel and Kroemer put it, “The probability of Hamlet is therefore zero in any operational sense of an event…”, and the statement that the monkeys must eventually succeed “gives a misleading conclusion about very, very large numbers.” This is from their textbook on thermodynamics, the field whose statistical foundations motivated the first known expositions of typing monkeys.
In fact there is less than a one in a trillion chance of success that such a universe full of monkeys could type any particular document a mere 79 characters long.”
Theory of recurrence:
Now there are 2 reasons why I never came forward with my theories before. First of all who has the guts or even the audacity to compare himself or his thoughts to those of Aristotle and Cicero. Also I have in no way studied or know anything about physics or mathematics in an agree to prove anything. Furthermore there are only a couple of people I can talk to about these things.
I want to provide 2 thoughts with my own theory. First of all:
It does not matter if the universe is endless or even compact. As it is now as far as I have picked up the universe is expanding and will at a certain point stop. After which time also will stop or the universe will start to get smaller again. Now this will mean 2 things. Either that it will be forever frozen with everything in it to a halt or that the universe will continue to get smaller until it gets back to the same state as before the big bang. Either which way is not important because what I have conducted is that there is always a surrounding of infinity around that universe. Meaning that even when time stops for the entire universe just like yin and yang there will be a certain amount of time continuing. Because that frozen time exists inside the clutches of infinity itself and even when all time stops it is still continuing even frozen. So even if the universe was to disappear and there would be nothing it would still mean that there would be nothing in the clutches of a greater surrounding infinity.
Meaning that and follow me on this: everything has happened before and will happen again. Unless this is the first time in that case it will just happen again. I came across this idea when I was little and had my first déjà vu. The experience of thinking you have experienced something before got me thinking and it was this theory that came out of it.
Now in better laid out terms, what I am trying to say is what that means for our existence. I will explain this in an example. Simply put try to imagine the following: imagine the world in its current state. After an uncountable amount of years it will cease to exist. After that this star-system will cease to be. Next the universe will cease to exist. Now after that even if time is frozen in this universe or there is nothingness there is still the fact that it is all boxed up into infinity. Meaning that after a while because there is an infinite amount of time to do so even when there is nothing eventually there will be something again. Given enough time that something will be a new universe all over again which will also stop existing at some point.
Now imagine that same process again and again in an unimaginable amount of time! Remember this because this is the most important part. Now take back ‘the infinite monkey theorem’. I discovered in the travels of my mind that just like in the theorem where the songs of Shakespeare are written down the same thing can be realized with our universe, our planet, our actions and our existence. It simply means that in the clutches of infinity someday in the future the same universe will become to exist once more one the exact same spot as everything is in right now. Meaning all thing will eventually happened exactly the same. The same elements necessary for this universe to start in the first time will eventually come together again in the nothingness. It will be just right eventually after a lot of alternate universes for everything to happen the same again. The same as me writing this theory. Even if someone were to die tomorrow it would mean that after an infinite amount of time that person would be here again on the same spot thinking the same thoughts, built out of the same building stones with the same body, in the same world with everything exactly as it is right now. All sorts of variations of this world have happened and will eventually happen again. With exactly the same actions as they have been for all of humanity so far and also with all sorts of variations of those actions for me and for you.
It is with mention of those variations that I come to my second point. It is simply a continuation of the previous point. Being that if everything has happened and will happen again it also means that everything that has ever been imagined be it the greatest evil or the greatest good will ever at some point be real. It means that in the vastness of infinity the conditions will be at some point right enough to create an earth with for instance superman or a giant space monster or a planet where everything happens just like in movies we’ve seen but for real because it will be real eventually.
That in mind it could already be so. If the universe is vast or enough and it already is unimaginably vast it could mean that a lot of the things we imagine exist somewhere. Be it in the vastness of the universe itself or the infinite space outside of it.
Thanks for reading all this. I have tons more of these theories and continuations of this. If you’re interested and if anybody would like you can always verify them for me if you know anything about quantum physics and things like that. Also and more importantly if anybody has thought of anything of the above please tell me! It would mean me being able to verify my thoughts and see they had gotten any further on the matter. I try not to linger to long on the same subject because I have 10 new kinds of these theories all day and jump from one to the next all day long. Usually I don’t look back to my theories except for when I come across a new one in my mind that links to a previous one as bases or when the answers come to me themselves as continuation like they always do.