Sun Sizhou
Sun Sizhou, a senior middle school mathematics teacher. He has won many awards including first prize in the Lianyungang Young Teachers Basic Skills Competition. In 2007, he used mathematical methods to analyze photos of South China tigers to help identify genuine and fake South China tigers. In May 2011, Sun Sizhou published his personal monograph "The Theory of Spatial Relativity - Mathematical Principles of the Expanding Universe", which revealed the mathematical principles of the evolution of the universe. The calculated results of the solar system's life span are in line with the predictions of scientists from the United States, Germany and other countries: 2012 is not the end of the world, nor will it come in 200 years as Hawking said. He believes that "the solar system is now in a mature stage of evolution, which is equivalent to more than 30 years of human life. It is still expanding, but it is very stable."
Chinese name: Sun Sisi
Nationality : China
Nationality: Han
Birthplace: Lianyungang City
Occupation: Teacher
Main achievements: Senior middle school mathematics teacher
p>Representative work: "The Theory of Space Relativity - Mathematical Principles of the Expanding Universe"
Gender: Male
Personal Profile
Sun Sizhou, 2002 He was named the subject leader in Lianyungang City and the subject leader in Nanjing City in 2007. I have been working for 23 years and have taught 17 senior high school graduating classes. Many students have been admitted to prestigious universities such as Tsinghua University, Peking University, and University of Science and Technology of China. Both teaching work and class teacher work have been commended by the city and county (district).
Personal research
Sun Sizhou published nearly 200 papers on mathematics special research and education and teaching, and promoted many famous theorems, such as Euler's theorem and Sri Lanka's Taiwotter's theorem, Weissenberg's inequality, etc. There are nearly 20 new results published in the name of "theorems".
At the National Elementary Mathematics Symposium held in 2007, Secretary-General Mr. Yang Zhi took stock of the current status of elementary mathematics research across the country and specifically mentioned the research work of Teacher Sun Zhouzhou (National First *** The research work of 6 people was named and commented).
In 1996, he published a paper in "Middle School Mathematics (Hubei)", announcing a newly discovered special point in a triangle - the canonical point, which opened up a new field of elementary mathematics research. Original papers have been cited repeatedly, “creating a craze” (Professor Xu Jiahong’s words). Currently, there is a relatively large group of people involved in research in this field, including university professors and middle school teachers. "Zhengze Point" was named by Sun Sizhou himself. It was taken from Qu Yuan's poem "The name Yu is Zhengzexi, the character Yu is Lingjun". The special letter is "Z", which is the first Chinese pinyin of the word "China". letter.
Application of three mathematical techniques: Obtained a national patent
Obtained a national invention patent. The technical principle used is mathematical principle, which is the application of a type of exponential curve in actual production. application.
Historical and cultural contributions
He conducted mathematical analyzes on major cultural issues in Chinese history and wrote many interesting papers. For example, "Research on the Mathematical Rationality of the Ancient "Well Field System"", "Research on the Inclination of the Sundial Disk", "Want to See a Thousand Miles Away, Go to the Next Level?" ", "Why is China's pi calculation a thousand years ahead of the world? ", "Mathematical Analysis of "Minority Submission to the Majority"", "Rock, Scissors, Paper", "Research on the Mathematical Rationality of the Well Field System", etc. This is extremely beneficial work for the construction of school-based curriculum, and is also conducive to more in-depth research on ancient Chinese science and culture. Now, three more difficult problems have been raised, known as the "Three Major Problems in Elementary Mathematics", which will be published in "Research in Elementary Mathematics". The first question is a generalization of the "Tian Ji horse racing" problem: "If the king and Tian Ji each have n horses, how many arrangements can Tian Ji have to make a strategy that can ultimately win?"
Similar He has studied a lot of problems and gained a lot of experience, which has formed the "Mathematical Culture" series. My educational ideal is to “pursue caring education.”
Prediction of the end of the world
The Hollywood disaster blockbuster "2012" and the Mayan prediction of the end of the world in 2012 have made many people panic about the future.
Is 2012 really the end of the world? At the end of May 2011, teacher Sun Zhouzhou from the High School Affiliated to Jiangsu Institute of Education used mathematical formulas to explain the future of the universe to reporters. According to his calculations, in 5,000 years, the sun will be almost unchanged from now.
These results appear in Sun Sizhou’s recently published monograph "The Theory of Space Relativity—Mathematical Principles of the Expanding Universe." For Mr. Sun Zhouzhou, mathematics is almost a “universal tool”. Previously, he had used geometric methods to prove that the South China tiger photographed by Zhou Zhenglong was fake, and he became famous for this.
Some people say the end of the world is 2012. Hawking said about 200 years from now.
Sun Sizhou said, everything is wrong!
Doomsday theories have been a hot topic in recent years. With the popularity and continuous spread of the Hollywood disaster blockbuster "2012", 2012 has been accurately designated as the "end of the world". This conclusion coincides with the mysterious Mayan prophecy, so many people around the world are panicked.
Many scientists from various countries around the world have invested in research on the issue of "doomsday". According to media reports, the British legend Hawking, known as "the greatest physicist since Einstein," also expressed his views on this focus issue. He came out to refute the rumors and said: 2012 is not the end of the world, and we don't need to panic. The end of the universe will come in about 200 years, so our generation is safe.
"This statement is tantamount to adding fuel to the fire. Postponing the life of the universe by 200 years still does not relieve the pressure on people's hearts. Hawking's good intentions obviously did not work. The expected result." Teacher Sun Zhouzhou said.
Recently, Sun Zhouzhou published his personal monograph "The Theory of Space Relativity—Mathematical Principles of the Expanding Universe." In this book, he uses 5 axioms and 1 definition to reveal the mathematical principles of the evolution of the universe. "The calculated results of the solar system's lifespan and so on are in line with the latest predictions of scientists from the United States, Germany and other countries." Sun Sizhou said.
According to Sun Sizhou's calculations, he told this reporter: "Our solar system is now in a mature stage of evolution, which is equivalent to more than 30 years of human life. It is still expanding, but it is very stable."
"The death of the solar system was definitely not in 2012, nor about 200 years later. Putting aside the exaggeration and artistry of the movie, science master Hawking was wrong this time." Sun Sizhou was certain. say.
How to calculate the lifespan of the universe?
How to calculate the lifespan of the universe? Sun Sizhou introduced that scientific research shows that the universe is limited in space and has a starting point and an end point in time. Our universe started from a very small point and expanded to its present size. The original universe can be imagined to be smaller than atoms. After expansion, today’s solar system, Milky Way, extragalactic nebulae, interstellar space, etc. exist.
Sun Sizhou said that according to Einstein's theory of relativity, it can be deduced that it took about 13.7 billion years from the initial expansion of the universe to the present. However, actual observational data are constantly being updated, and there are now records of observing nebulae 20 billion years away. Despite this, the scientific community generally believes that time always has a starting point, which is the moment when the universe begins to expand from a point as time 0.
The expansion of the universe has not stopped yet, and there is evidence that the expansion is accelerating. In Sun Sizhou's book "The Theory of Space Relativity - Mathematical Principles of the Expanding Universe", there is a formula that can calculate the expansion rate of the universe at any moment. Sun Sizhou introduced that this formula was deduced by him based on relevant axioms and definitions. Through this formula, the expansion process of any galaxy from small to large can be calculated, thereby easily calculating the timetable for the disintegration of the galaxy.
"Such a formula is the first in the world, and I feel very lucky." Sun Sizhou was proud to have discovered this formula himself. He believed that before the ideas in his book were confirmed by experiments, although It’s just a hypothesis, but “this is the world’s first cosmological hypothesis given by a mathematical axiomatic system.” “I hope it can be put into experiments as soon as possible. This is also a major opportunity for the Chinese to seize the commanding heights of cosmology research.
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"According to calculations, our solar system will begin to disintegrate in 35 billion years, and will continue until the sun itself is completely consumed by radiation in 110 billion years. ” Sun Sizhou introduced.
After 60 billion years, the earth will move away from the sun
In order to explain his calculation formula, Sun Sizhou told reporters in detail such as escape radius and escape angular velocity , peripheral linear velocity, rotation period, etc. There are many dizzying definitions, but the picture of the future changes of the universe it depicts is magnificent and extraordinary.
According to Sun Sizhou's calculations, he Introduction: "Because the expansion is accelerating, in about 6.9 billion years, the Earth will already occupy the orbit of Mars. In addition to the Earth, Mercury occupies Venus, Venus occupies the Earth, Mars occupies Jupiter, Jupiter occupies Saturn, Saturn occupies Uranus, Uranus occupies Neptune, and Neptune occupies Pluto. "
"About 30 billion years later, the sun expanded to the current orbit of Mercury, but it could not burn Mercury. Because Mercury has drifted outward to reach the orbit of Jupiter now. At this time, the Earth has reached the current position of Neptune, but it is not as cold there now because the sun has expanded outward. "
"35 billion years later, Pluto in the solar system has escaped from the solar system. "Sun Sizhou described vividly: "When we first entered the 21st century in 2006, we humans despised this smaller little brother and thought it was not worthy of being our brother. International astronomers met and expelled Pluto from the ranks of 'major planets' and called it a 'dwarf planet' - thinking about it, I feel a little reluctant to part with it. After 35 billion years, it will drift into the deep space of the universe, where there is only absolute zero (minus 273 degrees Celsius) and boundless darkness."
"About 40 billion years later, the Earth will already be farther away than Pluto is now. "It's very cold there," Sun Sizhou introduced. At this time, Venus was at the current position of Pluto, and the sun had expanded to be close to the current position of Venus. "
According to Sun Zhou's calculations, Neptune, Uranus, Saturn, Jupiter, and Mars will successively escape from the solar system. "About 60 billion years later, the Earth and Venus have all escaped, leaving only Mercury alone. Alone, silently facing the sun in its current orbit slightly beyond Pluto. It is the last watchman among the eight planets, but its departure is just around the corner. "
After 100 billion years, the sun bid farewell with "super spectacular fireworks"
"After all the planets have escaped, the sun still has more than 40 billion years to survive," Sun Zhou calculated that by then, the sun would shine as a super giant at the edge of the universe. Its area would be very large, and it would expand rapidly and become smaller in thickness.
" The internal thermonuclear reaction will weaken, because the area increases, the energy loss is also greater, and the temperature of the sun will become slightly lower." Sun Sizhou believes that the sun will have a gradual dimming process, "first the outermost edge will tear. , the light suddenly increased, forming a dazzling halo. This ring is the 'Einstein ring' seen in current cosmic observations. As the consumption of matter accelerates, the 'Einstein ring' shrinks inward until it disappears. ”
“This is the departure process of the sun. It uses itself as fuel and uses a spectacular fireworks show to complete its farewell ceremony with the universe. Sun Zhou described it poetically. He said that everything has its birth and death process, and the solar system is no exception. If we want to say the end of the world, "this is the end of the universe."
"After calculation, our solar system is now in a mature stage of evolution, which is equivalent to more than 30 years of human life. It's still expanding, but it's smooth. Smooth and more comfortable and safer than a baby's cradle. "Sun Sizhou introduced.
He explained specifically: "Even based on current scales, the diameter of the sun is currently 1.4 million kilometers. It took 6.9 billion years to increase from the original 700,000 kilometers to the current 1.4 million kilometers. On average, it is about 10,000 kilometers per 100 million years, about 0.001 kilometers per year, or about 1 meter per year. "
"Even in 5,000 years, our sun will be almost unchanged from now.
As for what the future will be like for us humans when the earth leaves the solar system in 60 billion years, we can only imagine now and don’t need to worry. " At the end of the interview, Sun Quanzhou quoted a sentence from Su Shi to illustrate his point of view - looking at the changes, the world has been unable to change in an instant. Looking at it without changing, things and I are endless.
Analysis of South China tiger photos
Using mathematical methods to rigorously prove that the tiger in the Shaanxi South China tiger photo is flat and the background trees are three-dimensional, exposing the lies of the forger and safeguarding it. Social justice shows the power of science and the conscience of intellectuals. The article was reprinted in full on more than 68,000 websites at home and abroad, including Sina, Yahoo, Xinhuanet, People's Daily Online, CCTV, Phoenix, American Chinese Forum, and Europe. Chinese forums, etc., and the English version is also circulating.
The origin of the incident
Since October 12, 2007, officials from the Shaanxi Provincial Forestry Department held a press conference and announced the shooting of Zhou Zhenglong. After the photos of wild South China tigers were released, the debate about the authenticity of the photos became heated, even involving the foreign media and a lawsuit. The scope and intensity were unexpected. Both sides even used their own heads to vouch for it. His confidence, perseverance, and innocent humor inadvertently aroused our laughter and goodwill.
The representative person who said that the South China tiger photo is fake is Mr. Fu Dezhi, a scientist from the Chinese Academy of Sciences. One of the main reasons is. The leaves on the tiger's head were not proportional to the size of the tiger. However, Master Zhou Zhenglong soon took out a large leaf, held it in his arms, took a photo and posted it on the Internet. Some people said that Zhou Zhenglong took it. The leaves are long, and the leaves in the photo are round, so this statement is wrong. The long leaves can also be taken as round leaves in the photo. There is no contradiction.
In fact, Zhou There is really no need for the master to find a big leaf to prove anything. The fact that the leaves are out of proportion to the tiger's head does not mean that the photo is fake, because the object in the front can be much larger than the object in the back, and a five-cent coin can cover it. It is a common sense of life to live in the whole moon. It is an old adage that one cannot see the mountain through a leaf. Therefore, Professor Fu should not use leaves to refute anything, and Master Zhou does not need to use leaves to prove anything. The leaves and the tiger's head are not facing the same camera. There is no comparison on the plumb bob surface. If it is proportional, it does not mean that the photo is true; if it is not proportional, it does not mean that the photo is false. Therefore, the reason why Teacher Fu uses the size of the leaves is indeed insufficient.
As for some people who inferred that the photo was fake based on the tiger’s color difference, gentle expression, cold and warm background, bright and turbid eyes, and why the tiger didn’t react, someone immediately came up with the opposite conclusion using similar reasons, and no one was convinced. Who. Therefore, we must avoid these things and cannot use them as arguments.
Using mathematical methods
Can we avoid color, expression, cold and warm, light and dark, light and turbidity, etc. What about the relationship? Absolutely! There is only one way, and that is to use mathematical methods. Other methods such as physics, chemistry, and biology have to consider mass, volume, temperature, life and death, etc., but mathematics abstracts them away.
The points, lines, and surfaces studied in mathematics have no quality, temperature, or shade, and they do not consider emotional, economic, or political values. For this photo, mathematics only considers the direction of light and the relationship between points, lines, and surfaces in the photo. This has all been recorded on camera and can be seen by anyone online. Therefore, everyone can have an objective and well-founded debate, and no one will monopolize the right to speak.
1． Changes in perspective of spatial graphics
Take points A, B, and C on each of the three edges of a cube. Of course, these three points in space form a triangle. However, when you look from the front of the cube, they are straight, but there are not many such opportunities. When you look from the left or right, it is clear that they form a triangle.
If you draw a triangle on a piece of cardboard, no matter where you take the paper or place it at any angle, objectively it will still be a triangle and congruent with the original triangle. .
However, when you look at it, it may be deformed, it may be a similar triangle, or it may not even be a triangle anymore but be seen as a line segment.
This never happens with straight lines or line segments. Specifically, if you draw three points on the cardboard and make them in a straight line, then no matter where you take the cardboard, how you rotate, translate, lift or lower it, as long as you don't bend or fold the cardboard,** The three points of the * line still look like a * line. It is impossible for the three points that were originally the * line to form a triangle when viewed from another position.
An vivid example is: throw a small plastic stick into the air, no matter how it flips and moves, it still looks like a small stick (in extreme cases, it is a point); throw a plastic triangle into the air. In the air, most of the time it looks like a triangle, and sometimes it looks like a small stick.
To summarize: a triangle is sometimes seen as a line segment, but there is always an angle where you can see that it is a triangle. If three points form a straight line from any angle, then these three points must be straight lines.
Is 2 a flat tiger?
If there is only one photo, then all our calculations and reasoning are of no value, because the physical object to the photo is deformed, and the positional relationship All relationships with quantity have changed. It is not possible to use changed data to explain the original problem (just like Professor Fu calculating leaf proportions). But it's different if there's more than one photo. Because in different photos, the objects are the same. There is a correspondence between these two physical photos, and some of the quantities are constant. In the professional language of mathematics, there are invariants under the projective transformation group. So, just compare different photos to find these constants. Therefore, my first thought was to find more photos.
I heard that Master Zhou *** took more than 70 photos, and the Shaanxi Provincial Forestry Department also announced 24 photos. I think this should be enough for research. However, by the time I looked for them (November 12th), they had deleted all of them from the Internet. I could only find three pictures from comments elsewhere. They were the 1st and 4th pictures in the order announced by the Forestry Department. Zhang and No. 24. Among them, the fourth tiger was too small and could not be seen clearly after zooming in. It was impossible to collect points and data, so it was discarded. Fortunately, the 1st and 24th pictures are very clear, the time interval between the shootings is also long (the interval between before and after is 15 minutes and 42 seconds), and the angle of movement of the photographer is also very large, which can be said to be very suitable for our research. Therefore, this article only uses these two.
Only when I implemented it did I realize that it is not easy to pick dots on photos. In order to clearly identify the corresponding points in the two photos, it is best to find those points that are easy to identify, such as the tip of the tail, the tip of the ear, the tip of the paw, etc. Unfortunately, these points are obscured by the leaves. However, there are some points that are easy to identify. We chose the pupils of the two eyes, the lower end of the lip gap under the nose (the points must be marked as accurately as possible), the ends of the markings on the hind legs (3 places), and the depression in the axilla of the hind legs. The end of the markings (2 places), the right ear socket (1 place), and the outer end of the eyebrow of the right eye (1 place). These points were selected first because they can be accurately marked on both photos; secondly, they constitute a three-point line on the photo (there are 6 groups of three-point lines); finally, in These three-point groups on a real tiger should obviously not be on the same straight line. For example, the tip of the nose and the points on the hind legs and the depressions of the leg armpits are obviously not in line with each other, and the points on the two eyes and the hind legs should not be in line with each other.
The problem can be revealed: According to common sense, the three-point group of 6 *** lines on the first photo should show three points in the 24th photo taken after the angle change. No more lines, that is to say, three points forming a triangle should be shown in the 24th shot. But according to our logo, none of these 6 point groups appear as triangles, and the 6 point groups are still three-point groups of the *** line.
Three dots** lines on the first photo (***6 groups)
In the 24th photo, the three dots** corresponding to the first photo *Threads (***6 groups)
If the tiger were three-dimensional, even during these more than 15 minutes, it had not moved at all, neither its head nor its legs. He didn't even move his mouth. This shouldn't happen!
Is it possible that the angle of movement of the photographer is too coincidental, making the three points of the original line still look like a line?
If a triangle is photographed as a line segment and the angle is changed and it is still a line segment, does this happen? It will exist. That is, the moved shooting point is still within the plane determined by the original three points (the three points of the different lines determine a plane). In this way, there can be countless positions to achieve this effect. These countless points form a plane.
Similarly, the second triangle is photographed as a line segment. After changing the angle, it is still a line segment and the photographer can only move within the second plane. Points in both the first plane and the second plane form a straight line, and the photographer can only move on this straight line. At this time, he can also have countless positions, because there are countless points on the straight line.
Continuing, the third triangle is photographed as a line segment. After changing the angle, it is still a line segment. The photographer can only move in the third plane. Considering the requirements of the previous two groups, the photographer can only be on the front straight line and in this third plane, so it must be at the common point of the straight line and the plane. As you can see, there is only one common point between a straight line and a plane. If the photographer moves away from this point, at least one of the three triangles can be seen as a triangle rather than a line segment. Now, there are two positions where they are photographed as a straight line of point groups, which only means that they are originally on the same straight line
So, what about the fourth three-point group? What about the fifth and sixth? Same thing.
For a tiger, the points on the leg surface, the points in the depressions of the leg armpits, and the tip of the nose are on the same straight line; in addition, many groups of points are also on the same straight line. What does it mean?
Conclusion: Judging from these two photos, the tigers in them are flat tigers.
3 About the moving distance
The three points of the *** line in the first picture become the * in the first picture of the triangle in the 24th picture
**Three points on the line
Is it possible that Master Zhou was afraid that the distance he moved was too small when taking the photo, and that he was unable to distinguish the changes in the position of the points in the photo? You can check to see if the situation changes if you take some points outside the tiger's body. These points cannot be taken from the tips of the leaves, because the leaves can be blown by the wind at any time. We took the top of a dead branch, the steep bend of a branch (please check the photo to find it), and the third place was the tip of the tiger's nose (from the above analysis, we believe that the tiger's nose has no movement). In the first photo of Zhou Zhenglong, these three points form a straight line; in the 24th photo, these three points form an obvious triangle.
This shows that for three points in space, the movement of the shooting position is enough to cause changes in the relative positions of the points.
However, here we take the top of one branch and the corner of another branch. The distance is relatively large, and the body of the tiger is relatively small. Could it be that our drawing is not accurate and we did not discover them? What about the changes? This may be a questionable point, but judging from the horizontal dimensions, these three points do not exceed the scope of the tiger's body, and the errors will not affect the final result. If someone can provide more photos, this should clear up this doubt.
Is 4 a synthetic photo?
Some people simply say that the photo is a computer-generated photo. Let’s do an analysis below. If you superimpose the tiger photo and the background photo to create only one photo, it will be impossible to detect the problem from the photo. But we have two photos, and the leaves on the right half of the two photos are clearly different, so this is not a zoom of the same photo. That's enough.
(1) If the background is translated and resynthesized, the lines connecting all corresponding points will be parallel and equal line segments, and all triangles will be translated into congruent triangles. This is not the case.
(2) If superimposed after rotation, all corresponding line segments passing through the rotation center will be rotated by the same angle.
(3) If there is both translation and rotation, it is a projective transformation from plane to plane, and the triangle can only become a triangle, which is not the case from the picture.
Based on the above analysis, we believe that these two photos were not computer-generated, but taken on location. But the tiger in it is not a real tiger, nor a stuffed toy tiger, but a flat tiger.
If we can get more photos, we can analyze them in the same way. Everyone can do it, and maybe we will make new discoveries. Now there is no doubt that the filming scene is real, so don’t waste people’s hard-earned money to restore the filming scene.