The Primordial Wizard

Both of them undoubtedly received feedback from the Great Source of Dreams, although it was enough for Donna to be promoted from a senior wizard apprentice to a first-level life.

"Sister, let's sign together and send this paper out."

Donna was promoted to the first level, and she was in a very happy mood. She is now a genuine double level, and her strength and academic level are both first level, which makes her very proud.

Brinia shook her head and said: "This is your independent discovery, I just help the calculation, even if you don't have me, you can still get this result if you spend more time, if I sign it, won't I let me steal your fruit? If In this way, we will break up!"

Donna persuaded her for a while, but Brinia was still unwilling, so Donna had to give up.

She told her teacher Betty about this, and Betty said in admiration: "You have made a friend with a good character, and this can be passed down as a good story."

Brinia's mind is indeed not on this paper on "gong". While studying academic papers on heat with Donna, she discovered an excellent paper "On Heat Conduction". The masterpiece of the wizard of the second ring.

"The temperature difference in an object or system is a necessary condition for heat conduction. In other words, as long as there is a temperature difference in or between media, heat transfer will occur. The rate of heat conduction depends on the distribution of the temperature field in the object."

While reading softly, Brinia watched a series of experiments and the final conclusion, which is the famous Meyer's law in the field of thermal science:

"In the phenomenon of heat conduction, the heat passing through a given cross-section per unit time is proportional to the temperature change rate and the cross-sectional area in the direction perpendicular to the cross-section, while the direction of heat transfer is opposite to the direction of temperature increase."

Looking at the slightly complicated formula, Brinia's eyes sparkled, and she remembered Lord Thales' point of view: "The solution to confusion is analogy. Two analogous physical objects or laws have similarities in mathematical form."

This complemented some of the fluid mechanics of her previous analogy, and the scattered thoughts in Brinia's mind were strung together by a thread in an instant, forming a beautiful pearl necklace.

She unfolded a roll of magic paper, her mood was agitated, and her whole body seemed to form an invisible "field" that interacted with the magic net around her.

Brenia wrote the title "On Thales' Lines of Force" with her pen flying.

She briefly reviewed the development history and current status of electromagnetism, and pointed out some places that lack mathematical support,

Puzzling areas, and pointing out the solution is the analogy Thales mentioned.

Then, with bright eyes, she wrote forcefully:

"In the manner I shall adopt, I hope to show that I am not trying to establish any theory of physics from a science in which I have not yet produced any experimental results;

The ultimate purpose of my design is to show that by rigorously applying Thales' thinking and methods, the connections between many of the different electromagnetic phenomena he discovered can be clearly laid out for mathematicians.

I will therefore try to refrain from presenting any direct examples not derived from Thales' method, or any mathematical inferences not derived from Thales' method.

In exploring some of the simpler parts of the subject, I use Thales' mathematical approach and thinking. I use mathematical analysis when required for complex parts of the subject, but remain limited to developing the original mind of the great wizard. "

The magic net was trembling slightly, as if she had a premonition that something great was about to happen. Brinia felt the same, her mind was agitated, and she bent down and wrote with all her heart:

"Fluid mechanics has been perfectly established. The so-called fluids are objects that can flow, such as air, water and so on.

Thales' force lines can be extended as "force tubes" filled with incompressible fluid.

The direction of the force tube represents the direction of the force field (electric field or magnetic field). The cross-sectional area of ​​the force tube is inversely proportional to the fluid velocity in the force tube, and the fluid velocity can be compared to the electric field or magnetic field.

Since the electric field or magnetic field can be compared to the fluid velocity, it is of course required that the electric field or magnetic field obey some theories of fluid mechanics.

Then, by borrowing some mathematical frameworks of fluid mechanics, a series of embryonic theories of electromagnetism can be deduced.

We know that Meyer's law of heat conduction, which describes heat conduction in a homogeneous substance, is the same as the relationship between electric field and potential in electrostatics, and their equations have the same form.

Obviously, setting the thermal conductivity equal to one, the electric potential can be compared to the temperature, and the electric field can be compared to the heat flux.

Thales' power lines became heat flow lines, and equipotential lines became isothermal lines.

Therefore, the method of analyzing the heat conduction problem can be used to analyze the electrostatic problem. "

The drastic changes in the magic net had already caught Thales' attention. He appeared behind Brinia in a flash, suspended in mid-air without disturbing him, and quietly looked at Brinia's thesis, his eyes sparkling with splendor.

Thales never thought that Brinia, the conscientious and gentle secretary, would be so outstanding academically. Her genius-like analogy to force lines and incompressible fluid made Thales himself feel that suddenly see the light.

Brinia was still discussing the similarities between heat conduction and electrostatics, her eyes sparkling.

"Heat conduction depends on the adjacency effect produced by the contact between two adjacent particles of matter; consider the force exerted on each other by two electric charges that are far apart without passing through any medium, if the electric field force is this The electric field force is a kind of action at a distance. Two completely different physical phenomena can be described by the same mathematical method, which gives people a lot of room for imagination.”

Without over-discussing, she continued to return to incompressible fluid.

Thales also watched carefully, with a smile on the corner of his mouth, Brinia really understood her theory too well.

"The mechanism of heat conduction can only limitedly match the physics of electromagnetic fields. The mechanism of fluid flow has much greater power, more capabilities than electrostatics and magnetostatics.

The volume of any part of an incompressible fluid does not change over time.

This is a hypothetical ideal fluid, a very simple fluid.

We might as well go a step further and assume that the flow of the fluid is steady.

At any location, the direction and rate of flow are time-independent.

In this way, there is no need to consider the time factor.

Any element inside the fluid will draw a curve as it flows, which is called a 'flow line'.

The lines of force conceived by Thales can be compared to lines of flow. "

The words flowed out like quicksilver, it was so natural, everything fit so well, Brinia is worthy of being a mathematical genius, followed by long paragraphs of mathematical proofs, which are dazzling to those who don’t understand, but in the eyes of those who don’t understand To those who understand it seems like the key to the truth.

Thales almost had tears in his eyes, he seemed to know Brinia again, his eyes were shining brightly, Xueba only admires Xueba.

Brinia's proof is coming to an end, she wrote heavily:

"Incompressible fluid systems obey the principle of superposition, which is a linear map.

Given three fluid flow systems, assume that the flow velocity of the third system at each location is the vector sum of the flow velocities of the other two systems at the same locations.

Then the volume of fluid per unit of time passing through a surface of the third system is equal to the sum of the volumes of fluid per unit of time passing through the same surfaces of the other two systems. "

The nearby magic net is already boiling, and a large source of power is already waiting here, waiting for Brenia to pick it up, but Brenia doesn’t care about it. She continues to write this kind of illusion fluid, launching a new long discourse, The focus is on the uniform motion of a massless fluid flowing through a resistive medium.

"The ideal fluid has no mass, no inertia, and has nothing to do with Ace's law of motion. This kind of model is a geometric model, not a physical model.

...

Given an isobaric surface of a fluid system, the flow velocity at all positions in space can be calculated, and all unit force tubes can be arranged, including their force tube sources and force tube channels. Conversely, given all the force sources and gullies of a system, the flow velocity at all positions in the space can be calculated, and the isobaric surface can also be calculated.

Given a fluid system, the pressure at each location, the distribution of the force source and the distribution of the force channel are known, and the impedance coefficient of the medium is assumed to be k. This system is equivalent to a system in which the impedance coefficient of the medium is 1, and the flow rates of the force source and the force channel are k times respectively. Both systems have equal pressures at every location and equal flow rates.

This fluid system still obeys the principle of superposition. Given three fluid flow systems, assume that the pressure of the third system at each location is the sum of the pressures of the other two systems at the same location. Then the flow velocity of the third system at each position in the three-dimensional space is the vector sum of the flow velocities of the other two systems at the same position. "

As if the earth was shocked, the mathematical model perfectly explained the force line of Thales, and gave the force line a strong mathematical support. From now on, no one dares to say that the force line of Thales lacks mathematical proof.

The source force is like a wave, driving the magic power around the wizard tower to oscillate. Many wizards have gathered here, and people are discussing it in a hurry. They all think that Thales has achieved a decisive theoretical result.

"Master Thales is so powerful, I can hardly describe it. He is like Lord Ace for magic. In the field of electromagnetism, Lord Thales is the torch of the long night!"

exclaimed one die-hard supporter.

Other opponents expressed sympathy and stopped speaking.

People were waiting quietly, the nearby legendary wizard also approached the wizard tower, Bayern rubbed his brows vigorously, he was completely convinced, this Thales is simply too genius, in short, he made a lot of big noises, fortunately he Recently, a lot of reinforcement insurance has been done on the mental image world, so it should not be a big problem.

Brinia hadn't finished her thesis on the deterministic lines of force, and stroke by stroke she applied this supposedly ideal fluid to many electromagnetic phenomena.

Electrostatic action, static magnetic action, induced magnetic field action, electric current, etc. can all be perfectly explained by using this ideal fluid. Brinia finished writing the last stroke quietly, and the turbulent source force swallowed her instantly like a stormy sea.

She bathed in the ocean of source power, and the source force gradually condensed into a cocoon, melting her clothes. The naked Brinia seemed to return to her mother's body. After training, his magic aptitude is almost top-notch, similar to a natural overclocker.

Her strength has also risen rapidly, easily piercing through the layer of barriers between the first level and the second level, and the soul secret space has evolved into an empty shell mental image world, and a phantom of compressed fluid in an ideal state hovers quietly in the center, as if waiting she.

Brinia touched the phantom with her mind, and instantly obtained a large number of runes and rune structures fed back by the great source. Countless three-ring and four-ring magic flowed in her heart. In just a moment, she became an extremely A powerful wizard of the three rings.

If it wasn't for a large amount of source power being used to improve her aptitude, I'm afraid she would have no problem being promoted to the Golden Wizard of the Four Rings.

But the slowness now is for the faster future. With top-level qualifications, it is only a matter of time before she is promoted from the third ring to the fourth ring. As a second-level life, she has nearly ten thousand years of life in this world, and she has plenty of time.

Even in the world of Kaya, Brinia's condition is enough to live for hundreds of years.

She slowly opened her eyes, and the cocoon of Yuanli shattered instantly, turning into void powder and disappearing.

The naked Brinia opened her eyes ignorantly, and stared blankly at Thales in front of her, and Thales also stared at her with wide eyes. Blank, dry mouth.

He swallowed, his face flushed, and he chanted a spell unconsciously, and a moon-white robe was put on Brinia.

Brinia screamed belatedly, and then she covered her mouth violently, her heart was beating wildly, and she was wandering in her mind: Oh no, no, Lord Thales doesn't think I'm that kind of superficial witch, right? , he must be very disappointed in me.

Thales also came back to his senses. He felt his heart beat faster than ever. When he saw Brinia writing a thesis just now, he changed his view of Brinia greatly, as if he had discovered a treasure. ripple.

He thought in his heart: It's bad, I usually don't trim my appearance, I don't know how to behave and care about ladies, and suddenly I have been looking at other people's naked bodies for so long, she must hate me, and I will break the pot and fall.

Thales' face was still cold, and he said in a deep voice: "Brenya, your research has attracted feedback from Magic Net and Dayuan, so I will take a look. Your paper is very good, but you must pay attention to it in the future, cough , pay attention to the way of absorbing the power of the great source, that's it, everyone is waiting for you outside, change into decent clothes, let's go out together."

Brinia was instantly depressed, and kept thinking, she must hate me, my lady image, why is it so unlucky, originally this paper should surprise Lord Telles to me, and become very appreciative, but now it’s bad up.

She walked back to her room in a daze to change her clothes.

Thales kept slapping himself in his heart, what was he talking about, and he also paid attention to the way of absorbing it. How to pay attention to this thing, he was so talkative. At this time, he should explain that he didn't look at it for so long on purpose.