拉馬努金：人類歷史上最接近「阿卡西記錄」的人

Today we're going to talk about Ramanujan. Srinivasa Ramanujan was a legendary figure. Today also marks the 138th anniversary of Ramanujan's birth. His birthday is December 22, 1887. Many people have probably heard this name. He is a mathematical prodigy from Madras, India. But his story Far more than just the two words "genius" can convey 1913 G. H. Hardy of the University of Cambridge in the United Kingdom I received a letter from India. Now people call themselves Madrasi. A junior accountant at the Document Trust Department Annual salary of 20 pounds Such letters, He Da receives a large number of every day. Many of them are written by amateur scientists. Propose various bizarre and odd theories The beginning of this letter is written with particular humility. It doesn't seem particularly special either. But Harde was indeed a top-tier mathematician. He glanced at a few more pages. Something major is going to happen with these few pages. This letter is densely filled on every single page. Listed 120 mathematical theorems and formulas There are many theorems inside. It has already been proven by European mathematicians. Ramanujan recalculated it himself again. This is already extremely impressive. Everyone thinks others have already figured it out. Calculate this again, what's the point of it? But he did not receive help from anyone. He calculated it all by himself. That is, without referring to anyone else's answer. I figured it out myself. That's already extremely impressive. An ordinary person cannot do it. I'm telling you But what's even more frightening is There was also a large amount of stuff that Hadai had never seen before. Never even thought of it Some completely original things Some formulas even baffle someone at Hadai's level. Everyone thinks it's incomprehensible. Unbelievable Later, he told his colleague Littlewood. These formulas must be true. Because if they weren't real No one has enough imagination to invent them. No one could possibly imagine it. The problem arises. A distant Indian colony My annual salary is only 21 pounds. Hardly received formal higher mathematics education A low-level employee How can he possibly master it? Even surpassing some of the most advanced mathematical knowledge in Europe at the time This makes no sense at all. Is that right? It makes no sense. If you want to figure out this issue, We must now talk about Ramanujan's growth experience. Ramanujan was born in 1887 in In an ordinary family in Madras, India His genius is wild. What do you mean by "wild"? 11 years old Two college students visited my home. He quickly gained control over the two college students. All the mathematical knowledge I know And even surpassed them At the age of 13 He borrowed a book on advanced trigonometry. Self-taught It's just that no one taught them. Once he saw it, he understood. 16 years old He got his hands on a sacred book. George Shobrakar This book contains more than 5,000 mathematical theorems. But no detailed evidence was provided. How to achieve this result No matter what, it's useless. Ramanujan held this book in his arms. Continuously verify and deduce Even invented some new theorems himself At the age of 17 He began to independently study Bernoulli numbers. and the Euler-Mascheroni constant He and pencil calculation derived this constant Calculated to 15 decimal places Pay attention, he was just a high school student back then. For us ordinary people, Almost impossible to accomplish That is precisely why He is extremely one-sided in his studies. He later relied on a scholarship. Entered one of the most famous local establishments Government Civil Service College As a result, all my thoughts were focused on mathematics. All the other subjects failed. The scholarship is gone too. I didn't even obtain a university degree. To survive He can only do low-level jobs as a government employee. Life is extremely impoverished. For a year, it's only £20. All of his mathematical research All of them are beyond this heavy workload. Squeezing out time to do it Imagine this If there had been no letter in 1913 The story of Ramanujan It might just end silently and unnoticed. His genius would be buried within the colonial bureaucratic system. No one will ever know Fortunately, Hardy saved him. He strongly invited Ramanujan to come to Cambridge. Come here and do this with me After many twists and turns Ramanujan finally embarked on his journey to England. Arrived at Cambridge Ramanujan astonished the entire mathematical community. Hardy described his collaboration with Ramanujan. Just as you would polish a diamond to the utmost degree Raw stone This mathematician who has not undergone systematic training In his peculiar, intuition-driven style Solved one after another the problems that had puzzled European mathematicians A problem that has lasted for hundreds of years He is still in the middle of the fraction. Partition function Model-based made foundational contributions to these fields Ramanujan at the age of 30 in 1918 Elected as a Fellow of the Royal Society of London One of the youngest members at the time Later that same year He became a member of Trinity College, Cambridge. This is a person born in a colony. For someone who doesn't even have a university degree It is an honor unlike any before. But the tragedy came as well. The climate of the United Kingdom Diet and food And reckless work Working day and night He completely wore his body down. He fell seriously ill. Many of the earlier accounts stated that he had amoebic liver disease. Current research suggests This is due to multiple reasons. It is not caused by a single, simple illness. What major illness might he have contracted in India in his early years? He has no money to pay for treatment. There may also be some hidden risks left behind. And long-term malnutrition If he is malnourished Mainly due to vitamin deficiency Because he is a strict quality-oriented individual. Eat only vegetables, no meat. And then, adding work that never stops, day and night. Overworked 1920 Ramanujan returned to India. He passed away不久之後就去世了 Only 32 years old His life was very brief. But he left behind nearly 3,900 mathematical masterpieces. Mainly in terms of formulas and equations Later, they were collectively known as the Ramanujan Notebooks. For nearly 100 years since his death In his notes Some formulas that seem to appear out of nowhere The vast majority have been verified. That is correct. And these formulas continuously appear in some Some things he could not predict at all In a completely new field Found the perfect app Twenty years after Ramanujan's death Hardy's rating of mathematicians' pure talent The full score is 100 points. He gave himself 25 points. Gave 30 points to the impressive colleague Littlewood. It means Littlewood is somewhat better than me. I am not as good as you. I have 5 fewer points than you. Gave the German mathematician David Hilbert a score of 80 This is a very high score. And he gave Ramanujan a score of 100. He said Ramanujan was the greatest genius I've ever encountered. Hardy remarked that Ramanujan was a mathematician depth in fields such as fractions No mathematician in the world can match him. He rediscovered it on his own. Riemann's functional equation of the zeta function But at the same time, he had never heard of it before. Double-periodic functions and Cauchy's theorem Only very vague notions of negative functions It's as if he were without a map In a situation without GPS I found the destination directly within the mist. When Ramanujan returned No one knows what a black hole is. But in 1916, he discovered a function. Now everyone calls it the Ramanujan function. It is the cornerstone of model theory. Several decades later Physicists have discovered Modeling is this mathematical tool To accurately describe the microscopic state of a black hole And the vibration patterns in string theory The mathematician from Anmori University is Ken Ono. Also known as Ken Ono Also known as Ono Gen Oono extracted it from Ramanujan's formula. Uncovered the mathematical structure describing the microscopic state of black holes Alright, the crucial question now arises. Just how did Ramanujan manage to do it? His own explanation was very simple. Two characters Amazing He is an extremely devout Hindu. He attributes his mathematical ability to His family goddess, Navakili He said that an equation, for me, would be... It means nothing. Unless it represents the mind of God He described it as He will dream of snowy fields. Then the goddess will unroll the scroll before him Display a complex mathematical formula That is, all these formulas They all appeared in a dream. It was all told to him by the goddess. Does this sound a bit like... Nonsensical ravings of religious fanaticism or rather, to explain oneself Why are some stories so brilliantly crafted? It's convenient to explain to everyone. But if we broaden our perspective a little You'll find stories that come in a flash of inspiration like this Among humanity's foremost thinkers It's actually quite common. Mongilev, European chemist He saw the periodic table of elements in his dream. A complete permutation those elements which had not yet been discovered at the time I've saved all the spots for you. Einstein's famous four-leaf experiment I want to travel riding on a beam of light. Finally led him to propose Special Relativity and the Intelligent Equation In the previous video about light The intelligent equation we've referenced so many times Those who are interested can go take a look. And Steve Jobs They say he was inside a dream. A prototype inspired by the design of the iPhone Are these all just coincidences? Or perhaps there is a unified explanation behind this. Such random, explosive bursts of inspiration Connected in series This is what we will delve into today. The word "Akashic" comes from Sanskrit. It means in the space of the universe. That is to say, the constituents of our material world A basic material Thus, the Akashic Records are also known as Book of Life Cosmic Memory Or rather, the Ethereum ledger The concept of Akashic Records Simply put, it's assuming that there exists a Higher-dimensional cosmic database or known as the cosmic internet It records the past. All knowledge, past, present, and future Experience and things that have happened in the world Inside it includes every soul All experiences from birth to the present Thought, Language, and Behavior Everything On Earth and in the universe Every detail that occurred and the cause-and-effect behind it And then all knowledge as well The possibilities of wisdom, art, and science This hypothesis was not arbitrarily invented by modern people. The Realm of Forms of Whaltu The Essence of Aristotle They are all somewhat similar to it. Even the Christian Bible's Book of Revelation the Book of Life mentioned therein has also been considered by some researchers to be Another way of referring to the Akashic Records Then this hypothesis How to explain Ramanujan Suddenly I understood some truth. Learned a certain formula Let's analyze it together. If the Akashic Records truly exist Then someone like Ramanujan Words from someone like Einstein Possibly under a certain special mental state For example, in a dream A state of deep meditation Or rather, a state of intense focus Accidentally connected to the database Downloaded some information from within it. But there is another possibility. It's the opposite. It's our brain. It's these geniuses' brilliant minds. They are an especially sensitive receiver. That is correct. It's the same as before. And they didn't download it on their own initiative. Is there a possibility? It is Akashic Records that is proactive. Distribute to the following receivers It's just that I find Ramanujan to be such a person His mental state The receiver is particularly sensitive. Then the Akashic Records thought This person is receiving my knowledge perfectly. Then it was a sharp "snap" From the Akashic Records It's simply emitting a beam of light. Hit him straight in the head. Then, take these formulas Shove them all in at once Then Ramanujan woke up in the morning. Splash, splash, splash What situation? These formulas, these theories I have mastered these theorems. Then I quickly wrote it down. Is there such a possibility? Is that right? It's not that we actively download it ourselves. It was Akashi who called him主动. It smacks right into our minds. It is also possible. Is that right? This can explain some things. Some phenomena that trouble us considerably For example, why was Mozart so young? He had mastered such a complex body of musical knowledge. Is he not recorded in the Akashic Records? It smacks right into the mind. Then comes These musical patterns Basic knowledge of music I can do everything. Then it became truly great. Become truly great And then there's also Similar to the invention of the telephone Fell and Gray Then there's the Wikipedia aspect. Newton and Leibniz Then there is the theory of evolution. Darwin and Wallace These somewhat larger discoveries It's usually different people. At the same time Proposed independently Could it possibly be like this? Akashic Records At this point in time He is going to take this same knowledge To spread outwards I must tell the people on Earth Then there are many people on Earth. At the same time Then the brain nerves become especially active. In a state of high concentration Or, to put it differently, the meditation mode Or dreaming Different places Different people Then the Akashic Records thought Their brainwaves are extremely active. They are suitable to receive my knowledge. Then, likewise, in the related field Not bad Then suddenly, *crack* Hit dozens of people in the head It's the same knowledge. Hit dozens of people in the head Then these people woke up. Of course, some people's words He might just be himself. Family background is a bit better. Have the money to conduct this experiment For example, inventing the telephone Yeah, right? To invent the telephone, you have to conduct experiments. Is that right? You must earn a labor wage. Then there are all kinds of You do experiments, you need money to spend. Is that right? But some people might have already received it. This knowledge But under the pressure of his possible If his annual salary is He has only 20 pounds. Right? People like this He can't even carry out experiments. He can't do it. So this knowledge isn't suitable for him. But if Avansi records These calculus formulas What principle is this? These can be written down with a pen. Things that don't require spending money If it hits him in the head He might have become great. If possible He might one day end up in a history textbook. He's already mentioned in the history textbook, saying something about so-and-so. Invented what formula Just like Ramat Gan. But inventing the telephone has nothing to do with him. Because he has no money He can't do it. Is that right? It might go *pop* suddenly. Hit dozens of people in the head. Hundreds of minds In the end, only two people remained. One Bell, one Gray Two people fully carry out this experiment. It's been made. They have this condition. And I firmly believe in this as well. Feel that the formula and principle of this thing, this experiment I feel 100% confident that I should do it. Some people might have received What does he think this thing is? I had a dream last night. I can't take this dream seriously. I still have to go搬 bricks Yeah, right? It's time to get up and start laying bricks. Do what you're supposed to do. I can't believe something like this exists. Too vague and elusive. What kind of person is several hundred meters away? Several kilometers, several ten thousand meters People from two places can talk to each other. That kind of thing is unrealistic. Do not trust Yeah, right? It might just be like this. He gave up. A great opportunity He gave up. Hello Next Ramanujan's those he proposed Some things that were completely unnecessary in his era Hydraulic engineering project Why, after several decades Computer Science and Electrical Engineering especially in black hole physics You can obtain some perfect applications. It might be due to the Akashic records. The storage space may have reached the upper limit. He thinks these pieces of knowledge are also quite important. I just randomly sent it to someone. Then it went *pop* Hit the inside of Ramanujan's mind Then Ramanujan was in a dream. It's just that he feels she's a goddess. Some knowledge the goddess told me But I don't know what these pieces of knowledge are. Write it down In the manuscript Then write it down Anyway, I don't even know what this thing is. Anyway, just write it down first. You never know when it might be useful in the future. Is that right? He then obtained the answer. But the question corresponding to this answer Human words might have to wait for several decades. That is why one encounters That is to say, right now After Ramanujan's death The company about black holes has been put into use. This means the Akashic Records The knowledge stored within it It's not that you need certain knowledge right now. I'll give you whatever knowledge you need. That's not how it is. It might just suddenly occur to you out of nowhere Very A response that now seems incredibly science fiction to you But decades later Or perhaps several hundred years from now After others have seen your thoughts Or rather, formulas and theorems The result can solve some relatively practical problems. Then the famous inventor Nikola Tesla He is also a passionate supporter of this concept. He believes there exists such a thing. For example, the Akashic Records There is something like this in the cloud. He is a supporter of this theory. He said in his 1907 article All perceivable matter They all originate from a primordial substance. Fill all the spaces He calls this thing Akasha. It's not called Akashi. It says "Akasha" in the original manuscript. But I believe this is just like the Akashic Records. It's actually about the same. Yeah, right? Or, to put it differently, luminous ether This is the Akashic Record. This basically names names explicitly. Is that right? Akar's original meaning isn't just ether? He also said my brain was merely a receiver. In the universe, there is a truth we have obtained. A core of strength and inspiration And this clearly indicates the cloud. Cloud Akashic Record I haven't yet delved deeply into this core secret. But I know it truly exists. That was his exact words He said that back in 1907. Hello We return to Ramanujan If we continue thinking along this line of reasoning Some conclusions may be drawn. Ramanujan What exactly did he download from the Akashic Records? How much of the knowledge we still haven't understood now Some mathematicians have speculated Some of the formulas he left behind May point toward some more advanced concepts in the future. For example, things we are currently unable to achieve Time and space travel anti-gravity Or infinite energy Something similar to a perpetual motion machine There might be some clues in his formula. But we are limited by the cognitive level of the entire era. I can only understand a little bit. Of course, after he passed away I believe he still has many formulas that haven't been revealed yet. Some of the more important formulas written down This is not merely a personal tragedy for him. To some extent It is also a cognitive limitation of the entire human race. Ramanujan was like a messenger. From a place we cannot directly access brought about fragmentation Some advanced information Hope Ramanujan's story brings you some Thinking beyond the everyday