Coordinates
"Why have you been getting so agitated lately?" Ou Ye looked at the television; CNN had already switched to the next news story about healthcare reform.
"32 degrees 30 minutes North latitude, 117 degrees 19 minutes West longitude." Shen Qi found these coordinates on Google Maps, located in the sea area near the US West Coast city of San Diego: "It's too mysterious, truly unbelievable. In physics, we call it complexity. It connects seemingly unrelated things. Molecular structure and dislocation motion, energy, dynamics, fluids, and the Navier-Stokes equations are combined together by some mysterious laws. It's quite complex."
"We obtained a theoretically correct but practically meaningless result through rigorous mathematical calculations... This needs to be corrected. This result may have practical significance, but I need to modify the Mathematical Physics model and find specific parameter values, such as latitude and longitude, earthquake intensity, etc. I don't know what parameters to look for; I need to consult some materials." Shen Qi excitedly rubbed his hands together. Seismology is a branch of physics, and what he lacked was theoretical knowledge of geology.
"You... you're going to predict earthquakes?" Ou Ye was stunned and somewhat frightened. "Is this really okay?"
I'm not afraid of competing with people, but I'm afraid of fighting against fate.
Throughout history, those who defied the will of Heaven were either punished by Heaven or captured by the rest of humanity.
Ou Ye worried that the great mathematician Shen Qi, after delving into physics research, would embark on a crazy path of no return.
"Alright, alright, this story is purely fictional. The theories about predicting earthquakes are full of loopholes. Go wash up and go to bed." Shen Qi gave him a look that said, "I'm just fantasizing, don't take it too seriously."
"Qi, you must forget this dangerous idea." Ou Ye entered the bedroom, casually untied her robe, peeked out from behind the half-closed door, her face flushed, and unusually took the initiative. "Hurry up and take a shower, I'm waiting for you..."
He must have been holding it in for so long to be having these wild thoughts... Ou Ye took off her bathrobe, dimmed the bedroom lights, and crawled into bed, her body involuntarily burning...
A man and a woman sleeping in the same bed had different dreams.
The woman dreamed of her father, who was very fond of her boyfriend and even gave him a piece of jade that had been passed down through generations.
In a half-dreaming, half-awake state, the man seemed to receive some kind of guidance, and he raised his geography level to 5.
The next morning, Shen Qi woke up and went to his office to continue his calculations, for which he consulted some basic geological literature.
"Except for math, all other subjects are a trap."
In order to improve his physics, Shen Qi has already raised his chemistry level to 7 and is now raising his geography level to 5.
Seismology is a brand under the physics umbrella and is a branch of solid Earth Physics.
Shen Qi upgraded his Geography skill to Level 5 (professional level) to gain more basic knowledge about geology, which would be helpful for in-depth research in seismology and even solid Earth Physics.
"Convection within the Earth's lithospheric system depends on the energy generated by the fission reaction in the Earth's core. This process leads to the generation of pressure at the plate boundaries. Due to friction at the edges, the pressure energy is released intermittently rather than continuously. The lithic plates squeeze against each other rather than slide, and this sudden compression causes what we call an earthquake."
"I need some seismic parameters to build a new and effective mathematical model." Shen Qi began to look up information purposefully.
Earthquake intensity m is defined as m = lgs, and this indicator is very crucial.
The Southern California Earthquake Networks website provides a timeline of earthquakes from 1983 to the present.
For an earthquake with a size of lgs > 1.5, it follows a very simple and clear power-law decay rule: N(S > s) ∝ s^-B, s ≥ 10^1.5, B > 0.95.
For Fields Medal winner Shen Qi, this law is too simple. It is the famous Gutenberg- Richter law concerning the size and frequency of earthquakes. The Richter scale in the Richter scale for a magnitude XX earthquake is the same as that of the American seismologist Richter in the Gutenberg- Richter law.
Earthquakes with an intensity lgs < 2 are usually called micro-earthquakes, which are difficult for humans to perceive and can only be recorded by seismographs.
The vast majority of data collected by the Southern California Seismic Network comes from microseismic events. Microseismic events also generate energy, which is another important indicator. This includes the Shen Qi Mark energy index, as well as the specific time and coordinates (latitude and longitude) of every earthquake recorded by the Southern California Seismic Network since 1983.
The fluids involved in the earthquake preparation process are of paramount importance; however, it is difficult to collect accurate data on Fluid Motion during earthquake preparation, earthquake onset, and aftershocks, which is a major challenge for the seismology and Physics Community.
Shen Qi suddenly realized that the Navier-Stokes equations, which describe Fluid Motion using calculus, are not only applicable to the sky and the ocean, but also to the earth's surface!
That's the theoretically correct way.
Shen Qi's unproven theory.
Even now, Shen Qi is almost entirely relying on intuition to do things that may be completely meaningless.
The appearance of complexity requires a rigorous mathematical language to provide quantitative internal support.
Shen Qi reviewed yesterday's calculation results. The new and effective mathematical model needed some core tools as its soul.
This soul should be one or a set of mathematical formulas, expressions, etc.
A universal solution formula has not yet been found for the Navier-Stokes equations to obtain a general solution.
There are over a hundred particular solutions. Based on one of them, Shen Qi spent several weeks, keeping it a secret from Ou Ye and everyone else, deriving, calculating, and verifying it all by himself, ultimately arriving at a complex equation:
1/2d/dt∫Ω∣A^s/2ω∣^2dx+v∫Ω∣A^s+1/2ω∣^2dx+α∫Ω∣A^s/2ω∣^2dx+...(B(u, u), A^sω)=<χ1,χ2>
Based on this core equation, a new mathematical model was established, and Shen Qi wrote a Computer Science program.
There is no separate Computer Science subject offered in the system; however, some branches of mathematics include some Computer Science knowledge and skills.
Shen Qi wrote a program using the basic Fortran90 language, which consists of a main program that sets the number of parameters and their error range, and a subroutine that uses the model to calculate <χ1,χ2>, to fit the parameter data downloaded from the Southern California Seismic Network.
"The exciting moment has arrived."
Shen Qi took a deep breath, pressed the Enter key heavily, and started the program.
The program has begun execution; whether Shen Qi's self-written and self-directed idea has practical significance will soon be revealed.
The program instantly generates a large number of matrices, Ordinary Differential Equations, and Partial Differential Equations!
Shen Qi gasped!
He would have to calculate these matrices and equations manually for at least ten years without eating, drinking, or sleeping.
Even with Ou Ye included, it would take them five years to complete the job together.
The CPU fan in the computer is spinning at high speed; the CPU is about to break.
"Hang in there, just a little longer!"
Shen Qi roared, "This high-performance computer of mine was only recently replaced; a machine that costs tens of thousands of dollars couldn't possibly be this weak!"
The machine, worth tens of thousands of dollars, was drenched in sweat and tears.
A massive torrent of raw data is still pouring in. This includes all the real earthquake data collected by the Southern California Earthquake Network since 1983, as well as the fluid virtual data based on the Navier-Stokes equations invented exclusively by Shen Qi.
Waaaaah!
The fan spun wildly, already exceeding the fifth speed and heading straight for the eighth.
The CPU is crying and wailing; it's going through the most difficult time of its life.
The difficult time lasted for half an hour before the CPU finally got some relief.
The computer case shook violently for a moment, then returned to normal.
Microscopic, macroscopic, molecular, earth's crust, fluid, energy, intermittent friction—seemingly unrelated things follow some mysterious laws. Shen Qi's self-written and self-directed mathematical drama has come to an end.
Before the program started, Shen Qi even suspected that it was an absurd drama.
After the program ended, Shen Qi applauded. It was a realistic subject matter, truly touching.
The big data calculations ultimately yielded a very simple set of results: <55,-167>, <55,167>, <-55,-167>, <-55,167>
Shen Qi had already purchased a globe, which he placed on his desk.
"This is the best I can get at the moment, since I'm using a particular solution to the Navier-Stokes equations."
Shen Qi quickly found four sets of coordinates:
The coordinates 55 degrees north latitude and 167 degrees west longitude are located in the Bering Sea, which is part of the territorial waters of the United States, about 200 kilometers northwest of Unimak Island in the Aleutian Islands in the North Pacific Ocean.
Located at 55 degrees north latitude and 167 degrees east longitude, this coordinate is also in the Bering Sea, within Russia's territorial waters, and is only 50 kilometers from Nikolskoye Island.
Located at 55 degrees south latitude and 167 degrees west longitude, this coordinate is situated in the vast South Pacific Ocean. The nearest continent to this coordinate is South Pole, and the nearest country is New Zealand, which is approximately 2,000 kilometers away.
Located at 55 degrees south latitude and 167 degrees east longitude, this coordinate system is also situated in the South Pacific Ocean. It is closer to New Zealand, being only 100 kilometers from Campbell Island, the southernmost point of New Zealand.