Significance of the invention of Fibonacci sequence

A Fibonacci sequence is well-known in Europe and America, so it often appears in the popular art of movies. For example, in the popular Da Vinci Code, it appears as an important symbol and plot clue, and in Magic Toy City, it is a question randomly asked at the job fair of shopkeepers. It can be seen that this series is as popular as the golden section. However, although it is well known, most people have memorized the first few figures and haven't studied them deeply. Fibonacci series also appeared in TV series, such as the fifth episode of the Japanese TV series Kao Shen, where Yisi did the last math problem in the national mock exam ~

B. Fibonacci evolution of human civilization

Ancient times: enlightened Malthus believed that whenever social wealth accumulated rapidly and population increased rapidly, there would be wars, plagues, famines and natural disasters to reduce the population. In 2000, the technology bubble reached the limit of prosperity, and wealth myths were everywhere! Then it flourished and declined, and the global economy took a sharp turn, falling into recession and long-term depression. So: 9 1 1, the war in Afghanistan, the war in Iraq, SARS, the Indian Ocean tsunami, the hurricane hit the United States, the bird flu, and the cold current hit Europe. All together, one after another! The year 2000 is the end of a 70-year economic growth cycle since the Great Depression in 1930s, followed by a long depression cycle. The Great Depression in the 1930s led to the Second World War, which Eliot called "the bottom war". Now it is another economic depression cycle of the same level as the Great Depression in the 1930s. The economic depression since 2000 will last until 202 1 (the forecast is attached). Will there be what Eliot called a bottom war in the future? At least there are bad signs: Hamas is in power and the Iranian nuclear issue is entangled. Where will the world go? Do you still remember the famous story of1July, 999, when the king of Angola fell from the sky (9 1 1) and was resurrected (with an error of two years)? During this period, Mars ruled social group psychology, group behavior, group values and even international politics in the name of happiness. 1.The global economic depression since 2000 will last until 202 1, which indicates that the future will be a long-term depression. 2. There will be several small-scale moderate economic expansions and contractions before, with 20 10, 20 1 1 and 20 18 as turning points. 3.202 1 is a dark year, and people's pessimism, fear and despair will reach the extreme. By then, most economists will be uniformly pessimistic! Then Hua Ming's economy in Lu 'an began to recover, and economists got a big slap in the face. Firstly, a set of formulas are listed: (1937–1932) x 3.618+1982 = 2000 (1966–1942)//. 8385438+08—(1650–1490)+(1789–1650)+1789 = 2000, in which: commercial revolution in 950. The starting point of the capitalist revolution in 0490 A.D.1the end of the capitalist revolution in 650 A.D. 1789 A.D. 1837 A.D.1the end of the first round of economic expansion after 789 A.D.1the end of the stock market crash in the capitalist world in 932 A.D. 65448. +65438 in 0937+65438 in 0929+65438 in 0942+65438 in 0929+65438 in 0966+65438 in 0929+global economy in 1970s. 18, 1.382 and 3.6 18 are Fibonacci ratios, which come from the meaning of the first two calculation formulas of Fibonacci series: since the Great Depression of the capitalist world in the 1930s, the new round of economic expansion cycle from 1932 has ended, and the end point is 2000. Then there will be an adjustment period (economic recession). If the economic expansion period in 68 years is adjusted from 1932 to 2000, its length should be smaller than the fourth wave (from 1966 to 1982, with the length of 16). In addition, the derivation of time period by Bona theory is an important high point in 2000, an important low point in 2003 and the next important low point in 20021year, which are consistent with each other. In addition, the turning point of global economic prosperity in 2000 and the trough in 2003 have been confirmed by the fact of global economic operation. The error of the second formula is 1 year. The meaning of the third calculation formula: from 1932 to 2000, the economic expansion with a length of 68 years rose by five waves, which is the fifth sub-wave that rose by five waves (from 1789 to 2000, the length was 2 1 1 year), also in 2000. The error of this formula is 2 years. Then the next adjustment (economic recession) is not as short as 2 1 year, but 38.2%, 50% and 6 1.8% of 21year (Fibonacci reverberation), that is, the length is several decades to one hundred years. The meaning of the fourth formula: from 1789 to 2000, the period of economic expansion is 2 1 1, which is the fifth sub-wave of the Millennium Wave (Wave 3) from 950 to 2000, indicating that 2000 is also the period of 1050. Then it shows that the next adjustment (the fourth wave, economic recession) will be aimed at hundreds of grades of the Millennium wave (the third wave). This adjustment of several hundred scales has to be considered from the perspective of human civilization! Former: The Roman Empire perished in 476 AD. Before that, it was the civilization of human slave society in the Roman Empire for 1000 years (wave 1). After 476 AD, it was followed by the turbulent feudal dark Middle Ages (Wave 2) that lasted for 474 years. In addition, the turning point in 2000 (the end of the third wave) has been confirmed by the fact that the global economy is running. According to Malthus' population theory, whenever social wealth accumulates rapidly and the population grows rapidly, there will be wars, plagues, famines and natural disasters to reduce the population. Malthus' theory has been continuously verified since 2000. The only unconfirmed famine, such a large-scale violent and abnormal climate fluctuation, will inevitably lead to the reduction of grain production for several years in a row. Malthus' famine is not difficult to predict. What happens in the future will continue to test Malthusian theory. Don't trust your children's children ... children will continue to test it. Frequent natural disasters have reduced grain production, and the low-quality population has surged, laying the groundwork for future famine. A time window was opened in 2000, after which wars, plagues, famines and natural disasters will occur frequently. The length of this countercurrent (the fourth wave) will be hundreds of years, and the global population will decrease by 38.2% or 50% or 6 1.8% (Fibonacci) in the next few hundred years. Even if you don't cut it, you might as well die. Facts have proved that the year 2000 is a thousand-year space-time resonance point. The alternate development of expansion/contraction and forward/backward is the natural law of the natural growth and development of things, which is independent of human will. In addition, human society itself is also an integral part of nature. In addition, it is very accurate that the length of the third wave is 2.236 times that of the second wave (another Fibonacci ratio). Length of Wave 3 = 2000- 950 = 95438+0050. Wave 2 length = ad950-ad476 = ad4741050/2.236 = 474. Coincidentally, 2000 proved to be an important turning point in the global economic operation, and it was surprisingly consistent with the calculation results of the above four formulas, the periodic deduction results of Bona's theory and the great prediction time more than 400 years ago! I wonder how the author of the great prophecy worked it out. On July 1999, the king of terror descended from the sky and resurrected King Angoromoa. During this period, Mars ruled in the name of happiness. At this point, we should understand what stage our great life is in the long river of history. After hundreds of adjustments (the fourth wave), the world will be turbulent, full of hatred, hostility, exploitation and oppression. Perhaps, as Lenin, the great revolutionary mentor, said, capitalism has decayed, capitalism has perished, and the proletariat is ultimately the grave digger of capitalism. After hundreds of years of turmoil and proletarian revolution in human society (the fourth wave), the next Millennium wave (The 5th Wave) may be the global universal socialist stage of human civilization, and the next Millennium wave (The 5th Wave) may also be an extended wave, in which The 5th Wave will rise to the communist stage, and Intna Xiongnell will surely come true! ! However, the future of accurate theoretical calculation of western civilization: according to the guiding principle of wave structure 1, waves 2 and 4 tend to be of equal length or Fibonacci relationship. 2. The 5th 1 sub-wave of five sub-waves in a wave structure extends, and the adjusted wave amplitude after this wave structure will be less than or equal to the bottom of the second sub-wave. Then, the adjustment of wave 4 is more likely to be equal to wave 2. Wavelength 4 = 950 AD–476 AD = 474 AD. In other words, the above-mentioned wars, plagues, famines and natural disasters occurred frequently after the year 2000, so as to reduce the population countercurrent (Wave 4), which will last for 474 years. After The 5th Wave (socialist to communist civilization), the lengths of the 1 and the 3rd wave tend to be equal, so The 5th Wave will be an extended wave, and its length is the 1.6 18 (Fibonacci ratio) multiplied by the length of the 1 and the 3rd wave. The length of The 5th Wave = (2000- 950) x1.618 =1699. That is to say, the third wave of western civilization since 950 (the wave of development, accompanied by the rise of commercial trade and the technological bubble of capitalism) ended in 2000. After that, the fourth wave (adjustment wave of frequent wars, plagues, famines and natural disasters) was adjusted for 474 years, then the fifth wave (driving wave of development, socialist to communist civilization) 1699, and finally the western civilization was in 2000+474+ 1699 = 465438. The history of our human civilization on earth itself may be just a wave in the development stage of life on earth. Through the analysis of Chinese historical dynasties spanning thousands of years, it is surprising to find that China civilization evolved in the Fibonacci way of Eliot waves! Let's take a look at the feudal society in China: Lang I, 22 BC1year-220 AD, 44 AD1year, unified the development of Qin and II, 220 AD-58 AD1year, 36 AD1year, turbulent, continuous war. From 58 1 year to 907, Lang III of the Southern and Northern Dynasties developed in a unified way. In 907, Jinlang ⅴ AD 1 279—AD191Yuan, Ming and Qing Dynasties developed in a unified way for 632 years:1. 2. Lang Wu continued the wave experience of three dynasties, while Lang Yi and Lang San did not continue the experience of two dynasties. 3. There is always a short dynasty at the beginning of each driving wave: Qin, Sui, Yuan 4, Yuan/Sui = 89 /37 = 2.4 1 Sui/Qin = 37/15 = 2.47, which is consistent with the Fibonacci relationship between them:/kloc-. The length of V wave is 1.382 times that of I wave (Fibonacci ratio), and the length of I wave is 44 1 year X 1.382 = 609, which is close to 632 years of V wave. That is to say, the meaning of the formula (AD 220-BC 22 1)X 1.382+ AD 1279 = AD 1888: many years before the end of the feudal society in China,19/kloc-0. The error is only 23 years. For China's feudal society of 2 132 years, the error is only 1.08% 3. The length of the second wave is 0.809 times that of the first wave (Fibonacci ratio), the length of the first wave is 44 1 year X 0.809 =357 years, and the length of the second wave is 3665438+. 4. The length of IV wave is 372 years, and the length of IV wave is 36 1 year. 5.V wave is an extended wave, and its length is 1.6 18 times (Fibonacci ratio) of I wave to III wave. (44 1 year–361year +326) x 1.6 18 = 657 years, which is close to the 632-year length of Langv. That is to say, (220–22 BC1–58 1+ 220+ 907–581) x1.618+a.d. Many years before 438+0 1, it can be inferred from the Fibonacci relationship between waves that the feudal society in China will end at 1936. The error is only 25 years. For China feudal society which lasted for 2 132 years, the error was only 1. 17%. And from 2265438 BC to AD 1 year, the feudal society in China, which lasted for 2 1 1 year, was just a bigger wave. There is an astounding exact and perfect Fibonacci relationship between waves of larger waves: wave 1 is about 2/kloc-0 BC/century-722 BC, and its length is about 1300 BC. The slave society civilization in China was before Xia, Shang, Zhou, Spring and Autumn Period/Warring States Period. Lang2 722 BC-22 BC1year, as long as 50 1 year, is a turbulent, war-torn, divided Spring and Autumn Period/Warring States Period. Lang BC 22 1 year-A.D.191year, with a length of 2 132 years, was a feudal social civilization in China. (Because the content is too long, it will be omitted later.)