Sun Sizhou, a high school math teacher. He has won many awards such as the first prize of Lianyungang Young Teachers' Basic Skills Competition. In 2007, he analyzed the photos of the South China Tiger with mathematical methods to help distinguish the South China Tiger from the real one. 20 1 1 In May, Sun Sizhou published his personal monograph "Relativity of Space-Mathematical Principles of Expanding Universe", which revealed the mathematical principles of the evolution of the universe. The calculated results of the solar system's life are consistent with the predictions of scientists in the United States, Germany and other countries: 2065438. He believes that "the solar system is now in a mature stage of evolution, equivalent to human beings in their thirties", and it is still expanding, but it is very stable. "

Chinese name: Sun Sizhou

Nationality: China.

Ethnic group: Han nationality

Place of Birth: Lianyungang City

Occupation: teacher

Main achievements: Senior math teacher in middle school.

Masterpiece: Spatial Relativity-Mathematical Principle of Expanding Universe.

Gender: male

Personal profile

Sun Sizhou was named the academic leader of Lianyungang in 2002 and Nanjing in 2007. I have worked for 23 years, and taught in 17 senior three graduating class. Many students were admitted to famous schools such as Tsinghua, Peking University and China University of Science and Technology. The teaching work and the work of the class teacher are commended by the city and county (district).

Personal research

Sun Sizhou published nearly 200 papers on mathematics research, education and teaching, which popularized many famous theorems, such as euler theorem's theorem, Stewart's theorem, Wiesenberg's inequality and so on. There are nearly 20 new achievements published in the name of "Theorem".

At the National Elementary Mathematics Seminar held in 2007, the Secretary-General Mr. Yang Zhi made an inventory of the current situation of elementary mathematics research in China, and especially mentioned the research work of Teacher Sun Sizhou (six people were named and commented on the research work in China).

He published a paper in Middle School Mathematics (Hubei) 1996, and published a new special point in the triangle-the regular point, which opened up a new field of elementary mathematics research. The original paper he wrote was repeatedly quoted, "forming a craze" (Professor Xu Jiahong's words). At present, a large group including university professors and middle school teachers are involved in this field. "Regular point" is Sun Sizhou's own name, which is taken from Qu Yuan's poem "Regular name, exquisite words". The special letter is "Z", taking the initial letter of "China".

Application of Mathematical Technology: Obtaining National Patents

To obtain a national invention patent, the technical principle adopted is mathematical principle, which is an application of exponential curve in production practice.

Historical and cultural contributions

He made a mathematical analysis of major cultural issues in the history of China and wrote many interesting papers. For example, a study on the mathematical rationality of the ancient "well site system" and a study on the inclination of the dial of the sundial, but you can broaden your horizons by walking up a flight of stairs for 300 miles? ","why China's calculation of pi can lead the world for one thousand years? "Mathematical analysis of the minority obeying the majority", "Rock scissors cloth", "Study on the mathematical rationality of the well field system" and so on. This is very beneficial to the construction of school-based curriculum, and it is also conducive to a deeper study of ancient science and culture in China. Now, three more difficult questions are put forward, which are called "Three Major Problems of Elementary Mathematics" and will be published in Elementary Mathematics Research. The first question is the popularization of the "Tian Ji Horse Racing" problem: "If the king and Tian Ji each have n horses, how many arrangement strategies might Tian Ji have to win in the end? "

The research on similar problems has accumulated a lot of experience and formed a series of "mathematical culture". My educational ideal is "to pursue a caring education".

Calculate the end of the world

Hollywood disaster blockbuster "20 12" and Maya's doomsday prediction of 20 12 have filled many people with panic about the future. Is 20 12 really the end of the world? 2011At the end of May, Sun Sizhou, a senior middle school affiliated to Jiangsu Institute of Education, explained the future of the universe to reporters with mathematical formulas. According to his calculation, after 5000 years, the sun has hardly changed compared with the present.

These achievements appeared in Sun's newly published monograph "Space Relativity-Mathematical Principles of Universe Expansion". In Sun Sizhou's teacher, mathematics is almost a "universal tool". Previously, he used geometric methods to prove that the South China Tiger shot by Zhou Zhenglong was fake, which made him famous.

Some people say that the end of the world is 20 12. Hawking said that in about 200 years.

Sun said everywhere that it was all wrong!

In recent years, doomsday theory has been a hot topic. With the popularity and continuous spread of Hollywood disaster blockbuster "20 12", 20 12 is more accurately called "the end of the world". This assertion coincides with the mysterious Mayan prophecy, so many people around the world panic.

Many scientists all over the world are devoted to the study of "the end of the world". According to media reports, Hawking, a British legend known as "the greatest physicist since Einstein", also expressed his views on this focus. He came forward to refute the rumor that 20 12 is not the end of the world, so we don't have to panic. The end of the universe will come in about 200 years, so our generation is safe.

"This is tantamount to adding fuel to the fire. Pushing back the life of the universe for 200 years still hasn't lifted people's ideological burden. Hawking's good intentions obviously did not achieve the expected results. " Teacher Sun Sizhou said.

Recently, Sun Sizhou published his personal monograph "Spatial Relativity-Mathematical Principles of Universe Expansion". In this book, he reveals the mathematical principle of the evolution of the universe with five axioms and a definition of 1. "The calculated results of the solar system life are in line with the latest predictions of scientists in the United States, Germany and other countries." Sun Sizhou said.

According to Sun Sizhou's calculation, he told this reporter: "Our solar system is now in a mature stage of evolution, which is equivalent to the thirties of human beings. It's still expanding, but it's stable "

"The demise of the solar system is certainly not in 20 12 years, nor is it about 200 years later. Aside from the exaggeration and artistry of the film, science master Hawking was wrong this time. " Sun said with certainty.

How to calculate the life of the universe?

How to calculate the life of the universe? Sun said 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 nebula, interstellar space and so on.

Sun Sizhou said that according to Einstein's theory of relativity, it takes about 654.38+037 billion years for the universe to expand from the beginning to the present. But the actual observation data is constantly refreshing, and now there are records of nebulae observed 20 billion years ago. Nevertheless, the scientific community generally believes that time always has a starting point, that is, the moment when the universe begins to expand from a point is zero.

The expansion of the universe has not stopped until now, and there is evidence that it is still accelerating. In Sun Sizhou's book "Space Relativity-Mathematical Principle of Universe Expansion", there is a formula to calculate the expansion speed of the universe at any time. Sun Sizhou introduced that this formula was derived by him according to relevant axioms and definitions. Through this formula, the expansion process of any galaxy from small to large can be calculated, and the timetable of galaxy disintegration can also be easily calculated.

"This formula is the first in the world, and I feel very lucky." Sun Sizhou is proud that he discovered this formula. He thinks that the viewpoint in his book is just an unconfirmed hypothesis, but "this is the first cosmological hypothesis given by the mathematical axiom system in the world" and "I hope to put into the experiment as soon as possible, which is also a great opportunity for China people to seize the commanding heights of cosmology research."

"According to calculations, our solar system will begin to disintegrate after 35 billion years, and the sun itself will become clean after 1 1000 billion years." Sun is surrounded by introductions.

After 60 billion years, the earth left the sun.

In order to explain his calculation formula, Sun Sizhou told reporters in detail some dizzying definitions, such as escape radius, escape angular velocity, circumferential linear velocity and rotation period. But the future change map of the universe he painted on this basis can be called magnificent and extraordinary.

According to Sun's calculation, he said: "Due to the acceleration of expansion, about 6.9 billion years later, the earth has occupied 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 and reached Jupiter's current orbit. At this time, the earth has reached the position of Neptune, but it is not as cold as it is now, because the sun has expanded outward. "

"After 35 billion years, Pluto in the solar system broke away from the solar system." Sun Sizhou vividly described: "When we just entered the 2 1 century in 2006, we humans didn't like this little brother and thought he was not worthy to be our brother. International astronomers held a meeting to expel Pluto from the list of "big planets" and called it a "dwarf planet"-it's really hard to remember. After 35 billion years, it will drift to the depths of the universe, where there is only absolute zero (MINUS 273 degrees Celsius) and boundless darkness. "

"After about 40 billion years, the earth is farther away from Pluto than it is now," Sun said. "It's extremely cold there. At this time, Venus is in the position of Pluto now, and the sun has expanded to the position close to Venus now. "

According to the calculation around the sun, Neptune, Uranus, Saturn, Jupiter and Mars will escape from the solar system one after another. "About 60 billion years later, both the Earth and Venus escaped, leaving only Mercury. Now it is in an orbit slightly outside Pluto, and it is silent with the sun. It is the last watchman among the eight planets, but its departure is just around the corner. "

10 billion years later, the sun bid farewell with "super spectacular fireworks"

"After all the planets escape, the sun will have a life span of more than 40 billion years," Sun calculated everywhere. He believes that by then, the sun will shine as a superstar at the edge of the universe. Its area is very large, it will expand rapidly and its thickness will become smaller.

"The thermonuclear reaction inside the sun will be weakened, because the area will increase, the energy loss will be greater, and the temperature of the sun will be slightly lower." Sun Sizhou believes that the sun will gradually darken. "First of all, the outermost edge will tear, and the light will suddenly increase, forming a dazzling halo. This ring is the' Einstein ring' seen in the current cosmic observation. With the acceleration of material consumption, the Einstein ring will shrink inward.

"This is the process of the sun leaving. It uses its own fuel and spectacular fireworks to complete the farewell ceremony with this universe. " Sun was surrounded by poetic descriptions. He said that everything has its birth and death process, and the solar system is no exception. If the world is going to be destroyed, "this time is the end of the universe."

"After calculation, our solar system is now in a mature stage of evolution, which is equivalent to human beings' 30s. It is still expanding, but it is stable. Smooth to be more comfortable and safer than a baby's cradle. " Sun is surrounded by introductions.

He explained in detail: "Even according to the current scale, the diameter of the sun is currently1.4000 km. It took 6.9 billion years to increase from the initial 700,000 kilometers to the current 6.5438+0.4 million kilometers. On average, it is about 10000 km per hundred million years and about 0.00 1 km per year, that is, about 1 m per year. "

"Even after 5000 years, our sun has hardly changed compared with now. As for 60 billion years later, the earth will leave the solar system. What is the future of our humanity? We can only imagine now, don't worry. " At the end of the interview, Sun Sizhou quoted a sentence from Su Shi to illustrate his point of view-from its changes, heaven and earth can not be seen in an instant. Judging from its invariance, things are infinite to me.

Photo analysis of south China tiger

It is strictly proved by mathematical methods that the tiger in the photo of South China Tiger in Shaanxi Province is flat and the background trees are three-dimensional. It exposes the lies of counterfeiters, maintains social justice, and shows the power of science and the conscience of intellectuals. This article has been reprinted in full by more than 68,000 websites at home and abroad, such as Sina, Yahoo, Xinhuanet, People's Daily, CCTV, Phoenix, American Chinese Forum and European Chinese Forum. The English version is being distributed.

Things have begun.

Since the officials of Shaanxi Forestry Department held a press conference on June 5438+1October 65438+February, 2007, and released the photos of wild South China tigers taken by Zhou Zhenglong, the debate about the authenticity of the photos has been heated and even triggered foreign media and lawsuits. The range and strength are unexpected. The two sides even used their heads to guarantee each other. Their self-confidence, persistence, innocence and humor inadvertently aroused our smiles and goodwill.

Fu Dezhi, a scientist of Chinese Academy of Sciences, is the representative who said that the photo of South China Tiger is fake. One of the main reasons is that the leaves on the tiger's head are out of proportion to the tiger's size. However, soon Master Zhou Zhenglong took out a big leaf, held it in his arms and put it on the Internet, which was very convincing. Some people say that the leaves in Zhou Zhenglong's hand are long and the leaves in the photo are round, so they are fake. This statement is also wrong. Long leaves can also be made into round leaves, which is not contradictory.

In fact, Master Zhou really doesn't need to find a big leaf to prove anything. Just because the leaves are out of proportion to the tiger's head doesn't mean the photo is fake. Because the object in front of the photo can greatly exceed the object behind it, a nickel can cover the whole moon, which is common sense in life. It is an old saying that one leaf can't see Mount Tai. Therefore, Professor Fu should not refute anything with leaves, and Teacher Zhou doesn't have to prove anything with leaves. The leaves and the tiger's head are not on the same plumb plane, so there is no comparability. Proportion does not mean that the photo is true; Just because the proportion is out of balance doesn't mean that the photo is fake. Therefore, Mr. Fu used the size of the leaves to say things, and the reason was really insufficient.

As for some people who infer that the photo is fake from the tiger's color difference, docile expression, cold and warm background, bright and muddy eyes, and why the tiger didn't respond, someone immediately uses similar reasons to say the opposite conclusion, and no one will accept it. Therefore, we must avoid these things and don't take them as arguments.

Use mathematical methods

Can we avoid the relationship between color, expression, cold and warm, light and dark, bright and turbid? Absolutely! There is only one way, and that is to use mathematical methods. Other methods, such as physical, chemical and biological methods, should consider quality, volume, temperature, life and death. But mathematics abstracts them all.

The points, lines and surfaces of mathematical research have no quality, temperature, light and shade, and will not consider emotional, economic and political values. As far as this photo is concerned, mathematics only considers the relationship between the direction of light and the points, lines and surfaces in the photo. These are all recorded by the camera, and anyone can see them online. Therefore, everyone can have an objective and well-founded debate, and there will be no monopoly on the right to speak.

1. Angle change of spatial graph

Take a point A, B and C on each of the three sides of the cube. Of course, these three points in space form a triangle. However, when you look at the front of the cube, they are linear, but there are not many such opportunities. When you look from the left or right, they form a triangle at a glance.

If you draw a triangle on a piece of cardboard, no matter where you take the paper and at what angle, it is still a triangle objectively, which is the same as the original triangle. However, when you look at it, it may be deformed, it may be a similar triangle, or even it is no longer a triangle and is regarded as a line segment.

This will never happen to straight lines or line segments. Specifically, if you draw three points on the cardboard and make them into a straight line, then no matter where you take the cardboard and how you rotate, translate and lift it, as long as you don't bend and fold the cardboard, the three points on the * * * line still look like a * * * line, so it is impossible to have three points that were originally a * * * line, but you can form a triangle from another position.

An example of an image is: throw a small plastic stick into the air, no matter how it is turned over, it still looks like a small stick (in extreme cases, it is a point); Throw a plastic triangle into the air. Most of the time it looks like a triangle, and sometimes it looks like a stick.

To sum up, a triangle is sometimes regarded as a line segment, but there is always an angle to see that it is a triangle. If these three points form a straight line from any angle, then they must be straight lines.

Is it an airplane tiger?

If there is only one photo, then all our calculations and reasoning are worthless, because everything from the physical object to the photo is deformed, and the positional relationship and quantitative relationship have changed. The original problem cannot be explained by changing data (just as Professor Fu calculates the proportion of leaves). However, if there is more than one photo, it will be different. Because in different photos, the object is the same. These two pictures correspond to each other, and some of them are unchanged. In the professional language of mathematics, there are invariants under the projective transformation group. Therefore, we can find these unchangeable things by comparing different photos. Therefore, the author's first thought is to find more photos.

I heard that Master Zhou * * * took more than 70 photos, and the Shaanxi Provincial Forestry Department also published as many as 24 photos. I think this should be enough research. But by the time I went to look for them (165438+ 10/2), they had deleted all these from the internet, and only three were found in the comments of other places, which were 1, 4, 24 respectively according to the order announced by the Ministry of Forestry. Among them, the fourth Zhang Hu was too small to be seen clearly after magnification, and it was impossible to collect points and data, so it was abandoned. Fortunately, the pictures 1 and 24 are very clear, and the shooting time is long (the interval between front and back 15 minutes and 42 seconds), and the photographer has a large moving angle, which can be said to be very suitable for our research. So this article only uses these two.

It is not easy to get some points from photos. In order to clearly determine 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 and the tip of the paw. Unfortunately, these points are covered by leaves. However, there are still some points that are easy to identify. We choose the pupils of two eyes, the lower end of the nasal space (the point must be as accurate as possible), the striped end of the hind leg (3 places), the striped end of the armpit of the hind leg (2 places), the right ear fossa (1) and the outer eyebrow end of the right eye (1). These points are selected first because they can be accurately marked in two photos; Secondly, they form three-point lines in the photo (* * has six groups of three-point lines); Finally, in a real tiger, these three groups obviously should not be on the same straight line. For example, the point on the tip of the nose, the point on the hind leg and the point in the armpit of the leg are obviously not * * lines, and the points on the eyes and the hind leg should not be * * * lines.

It can reveal the problem: according to common sense, in the photo of 1, the three-point group of six * * * lines, and the 24th photo taken after angle transformation, should show that the three points are no longer * * * lines, that is to say, the 24th photo should show that the three points form a triangle. But according to our logo, none of these six point groups is displayed as a triangle, and the six point groups are still three-point groups of * * * lines.

1 Three-point * * line on the photo (group ***6)

The 24th photo, 1 three-point * * * line corresponding to the photo (***6 groups).

If the tiger is three-dimensional, even if it exceeds 15 minutes, it has not moved, its head has not moved, its legs have not moved, and even its mouth has not moved. This should not happen!

Will the photographer's action angle be too coincidental, so that the three points of the original * * * line still look like * * * lines?

If you shoot a triangle into a line segment, is there a case of changing the angle and then shooting it into a line segment? Will exist. That is, the moving shooting point is still in the plane determined by the original three points (three points of a straight line do not determine a plane), so there can be countless positions to shoot this effect. These countless points make up a plane.

Similarly, the second triangle is taken as a line segment, but it is still a line segment at a different angle. The photographer can only move in the second plane. The points in the first plane and the second plane both form a straight line, and the photographer can only move on this straight line. At this time, he can have countless positions, because there are countless points on the line.

Further, the third triangle is photographed as a line segment, and it is still a line segment after changing the angle. The photographer can only move in the third plane. Considering the requirements of the first two groups, the photographer can only be in the front straight line, in the third plane, and that must be at the common point of the straight line and the plane. As you can see, straight lines and planes have only one thing in common. If the photographer leaves this point, at least one of the three triangles can be seen as a triangle instead of a line segment. Now there are two positions to make them into a point group of * * * lines, which only means that they are on the same straight line.

So, what about the fourth three-point regiment? Fifth and sixth? This is also the case.

A tiger, the point on the leg surface, the point under the leg armpit and the tip of the nose are in the same straight line; Many other groups of points are also on the same line. What does this mean?

Conclusion: From these two photos, the tiger is a plane tiger.

3 About the moving distance

1 The * * line in the figure is at three o'clock.

It becomes a triangle in the 24th picture, and the * * * line in the 1 picture has three points.

Could it be because of fear that Master Zhou was too small to distinguish the position change of the middle point in the photo when shooting? You can compare whether the situation changes if you take some points outside the tiger's body. These points can't be taken from the top of the leaves, because the leaves will be blown away by the wind at any time. We photographed the top of a dead branch, the steep angle of a branch (please compare the photos), and the third place is the tip of the tiger's nose (from the above analysis, we think that the tiger's nose is motionless). In Zhou Zhenglong's 1 photo, these three points form a straight line; On the 24th picture,

These three points form an obvious triangle.

This shows that for three points in space, the movement of shooting position is enough to cause the change of the relative position of the points.

But the distance between the top of one branch and the corner of another branch is relatively large, and the tiger's body is relatively small. Could it be that our drawings were inaccurate and we didn't find their changes? This may be a problem, but from the horizontal dimension, these three points are not beyond the tiger's body range, and the error will not affect the final result. If someone can provide more photos, it should be able to dispel this doubt.

Could it be a composite photo?

Some people simply say that photos are computer-generated. Let's do an analysis. If the tiger photo and the background photo are superimposed and only one photo is made, it is impossible to find the problem from the photo. But we have two photos, and the leaves in the right half of these two photos are obviously different, so this is not the same photo. That's enough.

(1) If the background is translated and recombined, the connecting lines of the corresponding points are all parallel isometric lines, and all triangles will be translated into congruent triangles, otherwise.

(2) If the rotation is followed by superposition, all the corresponding line segments passing through the rotation center will rotate 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 be transformed into a triangle, which is not the case from the diagram.

Based on the above analysis, we think that these two photos are not synthesized by computer, but taken on the spot. But the tiger is not a real tiger, nor a plush toy tiger, but a flat tiger.

If we can get more photos, we can analyze them in the same way, and everyone can do it. Maybe we'll find something new. Now there is no doubt that the shooting scene is real. Don't waste the hard-earned money of ordinary people to restore the shooting scene.