Chapter 477 Beggar’s version of the gravity gradient meter, done!
".Add a lattice as a relay?"
Hearing these words coming out of Xu Yun's mouth.
Everyone, including Huang Yuting and Ge Tongyou, was immediately stunned.
Huang Yuting vaguely felt that she had caught something, but when she thought about it carefully, she found nothing.
So she thought for a moment and asked Xu Yun with a look of advice:
"Dr. Xu, could you please give me more details?"
Xu Yun said no problem, walked to the LED screen on the table, pointed to the original structure diagram and said:
"Professor Huang, according to your original idea, the vector interaction point of the three-dimensional electrostatic field should be at the center of the conductor surface, right?"
Huang Yuting nodded:
"That's right."
Students who have studied high school physics should all know this.
There is an electric field around the charge, and there is a powerful interaction between charges. This effect is transmitted by the electric field.
The electric field generated only by stationary charges is called electrostatic field.
Electric field lines are commonly used in high school physics books to roughly describe the magnitude and direction of field strength. Electric field lines are a bunch of directed curves, and their density indicates the strength of the field.
That is to say, the denser the electric field lines, the greater the field intensity, and its tangent direction indicates the direction of the field intensity.
This is an introductory concept of electrostatic fields, and the dead high school knowledge suddenly started to attack me.JPG.
However, although electric field lines are very intuitive, they are actually not accurate enough. They are just used to make beginners think that physics is easy to learn and then get into trouble. It is just for the convenience of beginners to understand.
Because there is an electric field at every point in space, but obviously you can't draw electric field lines that pass through every point.
In addition, using density to express the magnitude of the field strength is somewhat vague, so it is necessary to use formulas to accurately express the above characteristics.
The specific derivation process will not be elaborated here. In short, the field theory concept in multivariate calculus must be used, and finally the Gauss theorem of electrostatic field can be obtained.
The three measuring arms designed by Huang Yuting can be regarded as three axes, which form a spherical shell symmetrical charged body in vector with the internal conductor.
This spherical shell symmetrically charged body complies with Gauss's theorem of electrostatic field.
That is to say, the charge in the Gaussian plane is 0, and because of symmetry, it is impossible to have a positive flux in a certain part and a negative flux in a certain part.
Therefore, the electric field inside the spherical shell is always 0.
Of course.
The 'spherical shell' here is a conceptual category. The axial space composed of three measuring arms can be regarded as an equivalent model, not a real ball.
The vector interaction point of this three-dimensional electrostatic field should be at the half point perpendicular to the Gaussian surface, which is the center of the conductor surface.
Then Xu Yun organized some words and continued:
"Look, Sister Huang, the lone point particles are not charged, and the equipment for measuring the modules is very light. The total weight of each module is 1145.14 grams."
"So from a top view, the three measuring arms can be arranged at 120 degrees apart, similar to the Mercedes-Benz logo."
"A measuring arm has two measuring modules. The field strengths received by the six measuring modules are equal to each other. In this way, a Laplace equation is established, and then the boundary value condition V(R, θ) is 0 ∞(AlRl)Pl(cosθ)=V0(θ)”
Xu Yun quickly wrote down a line of calculations, and then continued:
". Then based on the orthogonality of Legendre polynomials, replace x with cosθ, change the upper and lower limits, differentiate again, and multiply both sides of the boundary condition by a Lagrangian interpolation."
During the previous press conference.
In order to keep up with the calculation speed of the big guys, Xu Yun activated two thinking cards, Dirichlet and Eisenstein.
With the help of two thinking cards.
At present, Xu Yun's calculation ability in mathematics has made huge progress, and it is not even much lower than his physics level.
If he continues to grow like this, he may become the next top all-rounder in mathematics and physics.
So it's quick.
An optimized equation is presented to everyone:
Rσ(θ)=0∞(lR(l+1)1R)(2l+1)∫0πV0(θ)Pl(cosθ)sinθdθPl(cosθ)σ(θ).
At this point.
Even Li Hua, who is engaged in mechanical engineering, quickly understood what Xu Yun meant and touched his chin thoughtfully:
"Dr. Xu, are you talking about adding a high-density lattice to deflect the external source field through the light field-like effect of the lattice?"
Xu Yun nodded, indicating that he was right:
"Yes, Gong Li, although the lattice deflection can only achieve an approximate situation with a relatively high value, the accuracy of our own measurement module is already very high."
"Even if we let him lower it by one, no, even lower it by two orders of magnitude, it can still theoretically reach the international advanced level."
"When conditions permit, we can carry out density optimization and deflection cancellation again, and it is entirely possible to truly eliminate the influence of the three-dimensional electrostatic field."
Hearing Xu Yun's words.
Huang Yuting couldn't help but look at each other with Ge Tongyou, and they both saw an idea in each other's eyes:
There is a way!
The electric field depends on mass, that is, as long as the three measuring arms operate, there will inevitably be interference from a three-dimensional electrostatic field.
Huang Yuting's original idea was to create balance through internal conductors, while Xu Yun's idea was to make corrections directly from the 'axes' of the three-dimensional field.
The general solution to the equation calculated by Xu Yun is not difficult to see.
A hexagonal lattice with a diameter and length L can theoretically deflect the three-dimensional field to a certain extent.
The greater the number of lattice units per unit area, the greater the degree of deflection of the three-dimensional field.
This general solution actually has a prototype, which is the on-off principle of P-N junction.
The holes in the P-region are positively charged, and the electrons in the N-region are negatively charged. The direction in which the holes move can be understood as the direction of current flow.
at the depletion layer.
There are a small number of freely moving electrons and holes that "neutralize" each other.
This balance is called dynamic balance. At this time, the three-dimensional field is corrected and offset.
Of course.
For some unknown students of LSP, you may only see the words acupoint, flow, and rush in the above sentence.
Faced with this plan proposed by Xu Yun.
Huang Yuting thought quickly in her mind for a while, then raised her head and asked Ge Tongyou:
"Professor Ge, do you have a cabin here?"
"Of course."
Ge Tongyou nodded, walked to the table and fiddled with the screen a few times, and quickly brought up an interface:
"This is it."
The cabin Huang Yuting mentioned is not a house made of wood, but a system developed for instrument design within the Chinese Academy of Sciences system.
The function of the cabin is somewhat similar to the 'Aurora' used by Xu Yun, but the area of use of the aurora is mainly in high-energy physics.
Other than that.
The real name of the cabin is actually CASID, where CAS is the abbreviation of Chinese Academy of Sciences.
ID stands for InstrumentDesign, which is instrument research and development.
The origin of the nickname "log cabin" has always been an unsolved mystery. It seems that it suddenly emerged without warning around 1314, and then all of them became log cabins. (If any students who know the reason can pay attention, I have been curious for several years, but no one has been able to answer it. They all said that they followed others to shout)
Xichang Satellite Launch Base is the center of domestic satellite research and development, and the supporting cabins have naturally higher authority than Huang Yuting's.
Therefore, she did not switch accounts and quickly entered the relevant parameters.
"Angle 120 degrees."
“Regional ratio 37.8%”
"Passage cross-section 17.23cm"
"Torque coefficient 0.6657"
After a few minutes.
Huang Yuting suddenly raised her head and said to Xu Yun and Ge Tongyou:
"Professor Ge and Dr. Xu, the lattice theory equilibrium rate of 50X50 distribution has come out, it is 98.54%!"
"The errors in measurement accuracy, especially in small areas like Yongling, are basically negligible!"
Ge Tongyou was stunned when he heard this, and then there was joy and strong surprise on his face:
"98.54%? The balance rate is so high?"
Ge Tongyou, who came from that era, has always sought stability in his work. In a sense, he is a pessimist, considering the worst outcome in everything.
Originally, he thought that it would be good if the balance rate could be stable at 95%.
After all, a 5% error is acceptable both rationally and technically.
The unexpected result was.
The balance rate calculated by Huang Yuting can actually reach 98.54%. This is really an unexpected surprise, which means that there is no need to consider other additional optimizations.
Looking at Ge Tongyou who was full of surprises, Huang Yuting turned her attention to Xu Yun again and praised:
"Dr. Xu, I didn't expect that a genius in theoretical physics and biology would be so quick in thinking in applied physics."
"If you hadn't come up with this idea, I'm afraid it would have been very difficult for us this time, and it would have taken at least a few more days."
Xu Yun couldn't help but touch his nose when he heard this and said nothing.
really.
He is not an expert in applied physics and does not have deep contact with equipment construction, but the problem is.
Among the rewards obtained previously, there was a drawing of a gravity gradiometer.
Although Xu Yun had to do the balancing and measurement himself, there were diagrams showing the structure.
It's just that Xu Yun's major has no overlap with applied physics or structural design, so it has been inconvenient to use it.
Although it is difficult to show the complete diagram, it is another matter to give a small suggestion on some details - even a layman can have a lightbulb moment.
Mentioned before.
The three-dimensionalization of gravity gradiometers is the future development direction, because the vertical Fzz error must be removed.
That is to say, there is a corresponding solution on the drawing Xu Yun got.
Therefore, Xu Yun came up with this solution easily with a 'flash of inspiration'.
Of course.
The specifications of the lattice plate on the drawing are much higher than what the Xichang launch base can currently produce. Xu Yun's attempt to achieve a 100% balance rate must be a fantasy.
But even the figure of 98.54% is enough for them to cope with the next thing.
Huang Yuting then discussed the feasibility of the plan with Ge Tongyou and others, and finally unanimously approved Xu Yun's proposal.
The first problem has been successfully solved.
Then Ge Tongyou glanced at Li Hua beside him and said to him:
"Old Li, I'm going to trouble you about the crystal lattice."
"It is difficult to prepare a 50x50 lattice plate. Our center will definitely not be able to produce it. It may require cooperation from friendly units."
Li Hua nodded and said firmly:
"No problem, I will definitely take care of this!"
Ge Tongyou did not name the specific collaborators, but there are not many companies that can produce 50x50 lattice plates, or only a handful.
Coupled with the special strategic position of Sichuan Province, the unit pointed by Ge Tongyou is naturally ready to emerge
After Li Hua leaves.
Huang Yuting, who was in a much better mood, returned to her original position without feeling tired at all. She smiled and said to Ge Tongyou:
"Professor Ge, the first problem you mentioned has been solved, but what about the second one?"
"The second one."
Ge Tongyou raised his eyebrows when he heard this, and the expression on his face was much calmer than before:
"The second question is relatively simple. According to the information we have learned, the Yongling Underground Palace is located deep underground, with a lot of water inside, and a large number of various appliances in the underground palace."
"As for the "Yongle Dadian" that Dr. Xu and the others are looking for, if I mean hypothetical, if it really exists, then it can only be located on the lower level of the underground palace."
"As a result, the structure of the gravity gradiometer needs to be fine-tuned."
"Otherwise, rapid changes in the solid-liquid region will inevitably affect the total current density, leading to equipment failure or even damage."
After Ge Tongyou finished speaking, Xu Yun also nodded.
Except for himself, no one in the world has yet reached a conclusion on whether the "Yongle Dadian" exists in Yongling Tomb.
But one thing is certain.
There must be a lot of water inside the Yongling Underground Palace, and it has even submerged Di Gong.
In fact, it’s not just Yongling.
Not the existing Ming Tombs, it should be said that most of the existing emperor's tombs have varying degrees of water accumulation.
The phenomenon of water intrusion in the imperial mausoleums of the Qing Dynasty was even more serious. When Sun Dianying robbed the tomb, Qianlong's coffin even floated in the water for decades. The painting style was too beautiful to look at.
And for the gravity gradiometer.
Although the state of solid-liquid coexistence will not affect the accuracy, it will affect the total current density because it involves the support of rapidly mutating states.
When the solid-liquid region changes rapidly.
The gravity gradiometer will exhibit the Meissner effect due to changes in the support force in the measurement area, that is, it is completely diamagnetic.
As a result, the total current density increases or decreases.
True.
The problem of the Meissner effect is easily solved with conductors or superconductors.
But don't forget.
Solitary point particles do not need to rely on conductors to move.
Not to mention that in addition to the water accumulation, there is also an unknown thick layer between the existing underground palace and the underground palace where the "Yongle Dadian" may be stored.
To detect the situation below the compartment, the gravity gradiometer must pass through three intervals:
The soil layer below the surface of Yongling Tomb and above the underground palace,
Various utensils were submerged in water inside the underground palace,
Another partition between the underground palace and the next floor.
Therefore, if this problem is not solved, the gravity gradiometer is likely to crash.
But what made Xu Yun let out a breath was.
This time, Huang Yuting showed her strength in the gravity gradiometer without him taking action.
The Zhenggao researcher from Jilin University thought for a few minutes and quickly came up with a solution:
"Professor Ge, this problem is very simple. We only need to add a small axis loader and particle emitter to the measuring arm to solve it."
"The axle loader is used to change the momentum of the system, and the particle emitter is used to destroy the Coulomb gauge - of course the specific energy level needs to be calculated, but it is estimated that a dozen MeV levels should be about the same."
"In this way, the total current density can be hedged."
Xu Yun raised his eyebrows in surprise.
This idea is exactly the same as the optimization plan on the design drawings he mastered.
Huang Yuting's idea is equivalent to adding a "wingman" to the gravity gradiometer and making a correction to the magnetic vector potential of the structure.
Because according to Bloch's theorem.
When the system is in the ground state, the total momentum should be 0, and the wave function should maintain this rule in the external field.
The axle load meter added by Huang Yuting changes the momentum of the system and can cut off excess current at any time.
The particle emitter can be used to destroy the Coulomb norm, invalidate the Bogolyubov operator of the first term, and allow the system to enter a cooler steady state from the perspective of first-order perturbation theory.
This mathematical model is different from Witten's superstring theory in that it can completely reproduce physical phenomena.
By the way.
In this situation, if we consider p=mveA/c, we can get the famous London equation.
That's right.
This is how the London equation came about.
His eyes returned to reality.
After hearing Huang Yuting's idea.
Ge Tongyou also picked up the pen and started calculating on the draft paper.
Although Ge Tongyou is now very old and his eyesight and body are gradually declining, he is still here because of his re-employment from Xichang.
But for a third-tier veteran like him, calculation is not difficult at all.
Swish Swish Swish——
Lines of operators were written down quickly.
This is his idea of trying to calculate whether Huang Yuting can completely achieve it under physical circumstances.
Ten minutes later.
Ge Tongyou put down his pen and looked up at Huang Yuting and then at Xu Yun:
"Professor Huang and Dr. Xu, this solution has no problems in mathematics and my personal experience, and is highly feasible."
"In other words."
"We can next consider the assembly of the gravity gradiometer."
Note:
Many readers are asking about the journal evaluation, which will probably start next month. (End of chapter)