All physics problems are ultimately mathematical problems.

...

The next morning, Pang Xuelin went directly to his office and turned on the computer. Pang Xuelin said directly: "Moss, give me the latest results of today's Earth's transfer orbit simulation, and provide the latest research data on the impact of the Earth's crustal motion being affected by Jupiter's gravitational field!"

"Okay, Dr. Pang Xuelin, please wait!"

In less than a minute, various data files appeared on the computer desktop.

Moss is a new generation of artificial intelligence system developed by humans based on carbon-based chips. Its main body is installed in the "Pangu" supercomputer system located in the earth's cab to assist the earth's coalition government to control the earth's flight orbit.

Its clone is located on the Navigator Space Station, responsible for the operation of the Navigator Space Station.

As one of the members of the Science Committee, Pang Xuelin naturally has the authority to mobilize Moss to serve him.

Pang Xuelin sat in front of the computer and began to quickly browse the latest research papers related to the intersection of earth and wood.

...

"When the earth and wood meet, Jupiter's tide force will indeed greatly change the distribution of water and atmosphere, but before the impact occurs, the atmosphere and ocean will not leave the earth. A fluid planet, near the end (proximal end) of the gravitational source, is subject to greater gravity, and the end (distal end) away from the gravitational source, is less gravitational. This gravitational difference will lengthen the fluid planet, so the gravitational force at the proximal end is greater, and the gravitational force at the distal end is smaller, creating a greater gravitational difference, which will pull the celestial body longer until its own gravitational force can no longer maintain the gathering of fluid and be pulled into pieces. This is a positive feedback process."

"For the earth, the ocean and the earth are both extremely thin. Under the influence of tidal forces, the atmosphere and the ocean will gather at both ends close to/from Jupiter, and the positive feedback process is interrupted. At this time, to take away the sea water and atmosphere that are gathered into two lumps, you still have to approach the limit of the rigid body Loshe (the limit of the rigid body Loshe on the earth is 70,000 kilometers, which is smaller than the radius of Jupiter), and defeat the gravity of the entire earth."

"When Jupiter's radius (7 million kilometers) is 100 times the distance from Jupiter, Jupiter's tide force causes several meters of tide."

"When the distance is 20 times the radius of Jupiter (1.4 million kilometers), if the ocean is not frozen, the tide height of the earth can reach hundreds of meters. Disasters begin to come, and the two latitude belts facing Jupiter and facing Jupiter are the first to be blasted. At the same time, some earthquakes will be induced to occur."

"When it is eight times the radius of Jupiter (560,000 kilometers), atmospheric tides are enough to reduce the air pressure in most areas of the earth to a level that can cause altitude sickness. At the same time, the stress in the plates is completely released, and instead tends to stabilize. Volcanic activities continue to be active in the intersection of plates."

"When it approached the distance between the earth and the moon (300,000 kilometers), Jupiter's tide force reached three thousandths of the gravity, and the fragmented area of ​​the crust at the junction of the plates became larger and larger."

"When Jupiter is one Earth diameter (12,000 kilometers), Jupiter's tidal force reaches 28% of the Earth's gravity, and the Earth's crust is broken in large quantities. The Earth's tidal force is enough to capture the Jupiter's atmosphere... Perhaps in other words, it is more accurate to say that it is a little more accurate. The Jupiter's atmosphere began to launch the first wave of strikes on the Earth. The Earth, which has a speed of up to 60 kilometers per second, collided with the Jupiter's atmosphere. This speed is far greater than the speed of sound, and the energy cannot escape in the form of sound waves. The Jupiter's atmosphere rushed to the Earth one after another, and was constantly compressed, heated up, and plasmaized."

...

"It's interesting. This paper actually describes the entire process of the impact of the earth and wood."

After attaching his own opinions to the government secretary, Pang Xuelin forwarded the paper. This type of paper has certain reference value for how the coalition government can deal with the possible crisis caused by the intersection of land and wood.

Then, he opened another file and started to be stunned again at the complex system of nonlinear partial differential equations on the computer screen.

This set of nonlinear partial differential equations gathers the power of mathematicians around the world. The system of earth-wood transfer orbit equations obtained by correcting them every day based on the latest supercomputing simulation results is extremely computationally huge and can only be simulated by computers.

Theoretically speaking, if you want to calculate the safe transfer track when the earth and wood meet, it is just a Newtonian mechanics problem. The evolution of the system can be determined based on the motion equation and initial conditions of the system and predict the future, which belongs to the deterministic system.

But in fact, due to excessive influence of external random factors, even slight changes may have a significant impact on the results.

For example, Jupiter's gravity causes crust disturbances, causing strong global earthquakes, and thus causing planetary engines to lose thrust.

For example, the density inside Jupiter changes due to the earth's gravity problem, which in turn affects the gravity between the two.

In addition, among the 72 Jupiter satellites, there are four satellites with a diameter of more than 2,500 kilometers, of which Iobo reached 4,800 kilometers, second only to the moon. The existence of these satellites will also cause gravitational disturbances to the earth.

When all these external factors are superimposed and a system of nonlinear partial differential equations is listed, it is almost impossible to give an accurate analytical solution.

In recent years, the mathematics community has developed a variety of methods to solve the exact solutions of nonlinear partial differential equations under the principle of homogeneous equilibrium: such as the tanh function method, the sine-cosine method, the jaobi elliptical function expansion method, the riati equation method and the f-expanding method, etc., and then the solution is done with the help of a computer.

But with a pure mathematician intuition, Pang Xuelin vaguely felt that the current method used by the mathematical community is limited in accuracy for the partial differential equation system in front of him.

The main reason is that there are too many variables in this set of equations, and any slight deviation may cause a big difference in the results.

"No, even if you can't give the analytical solutions to this set of equations, you have to give several specific precise solutions!"

Pang Xuelin's eyes narrowed slightly.

"But what method should be used to solve it?"

Pang Xuelin frowned.

"Can we try to use the ac=bd mode in differential geometry and Wu's differential feature column method to give various forms of solutions to the general form of riati equations, and then give a mechanized method to find the solitary wave solution of nonlinear partial differential equations..."

"No, although this method can convert the solution of nonlinear differential equations into the solution of nonlinear superdetermined algebraic equations, establishing a bridge between Wu's method and the solution of differential equations. However, there is uncertainty in the variables of the system of equations, and the accuracy of the result is also not high!"

...

"So can we use geometric integral method to deal with this partial differential equation?"

Chen Shengshen, one of the greatest geometricians of the 20th century, once expressed this view: "The essence of physics is geometry!"

The basic formula of Newtonian mechanics f=ma, the f on the left is the force, which represents physics, and the a on the right is acceleration, which is mathematically a second-order derivative, that is, the curvature in geometry.

Einstein's equation rik-1/2gikr=8πktik.

On the right is the energy-stress tensor, which belongs to physics. On the left is the Rich curvature rik and the scalar curvature r, which are geometric.

Yang Zhenning's gauge field theory is essentially fiber clump geometry.

It is not uncommon to solve nonlinear partial differential equation systems by geometric methods. The question is what kind of geometric method is used.

"How is the rkmk geometric integral method?"

"The undamped landau-lifshitz equation was numerically solved by the rkmk geometric integral method, and compared it with the analytical solution of the equation; then the landau-lifshitz equation with an external magnetic field was numerically solved, and the error comparison was made with the classical runge-kutta method. The problem is that although the rkmk method can better maintain the square conservation characteristics of this equation than the classical runge-kutta method, the rkmk geometric integral method is more difficult for nonlinear shroer equations with variable coefficients..."

...

Various ideas flashed through Pang Xuelin's mind. Over the past year, he had been thinking similarly, but he had never made any progress.

Before he knew it, Pang Xuelin stood up and walked to the window.

Through the office window, you can see that the huge holographic projection of the solar system is floating silently above the earth's cab.

Everything in this world seems to have become simple. The sun is just a dim ball of light, and the major planets are like fireflies, orbiting the sun along the eternal orbit.

Pang Xuelin seemed to have returned to that cold night on Mars.

Under the starry sky, various theories of Ponzi geometry that had been stagnant for a long time were quickly established in Pang Xuelin's mind, and it seemed to form a wonderful connection with the system of partial differential equations, like a lightning bolt, illuminating the dark night sky.

Pang Xuelin shuddered and instantly grabbed the fleeting inspiration.

A hint of ecstasy appeared in his eyes, and he quickly turned around, picked up the red confidential phone number on the table, and called Liu Xin: "Old man, I need to stay in seclusion for a while. Regarding the issue of the transfer track of the ground and wood, I have some new ideas and ideas!"

Then, he opened the office door and Li Yiyi, the technical secretary who worked outside, said: "Yiyi, I will go into seclusion and study during this period. Don't disturb me. Just ask your sister-in-law to prepare food for me every day!"

There is a lounge in the office, and the problem of sleeping and bathing can be solved in addition to eating.

Before Li Yiyi could react, Pang Xuelin slammed the office door and a hint of excitement flashed in his eyes.
Chapter completed!