Chapter 569 Witness the Miracle! (Part 2)

Then Wheat took a deep breath and focused all his thoughts on simplifying the formula.

In his previous life, when Xu Yun was writing novels, a reader once raised a rather high-quality question.

In 1746 the one-dimensional wave equation already appeared, so why do we need to re-derive the formula?

The answer is simple:

Although D’Alembert had researched the one-dimensional wave equation, what he came up with was the initial solution for a traveling wave.

This kind of solution is also called the general solution, and it’s actually very, very different from the wave equations of later generations.

What Xu Yun listed this time is the general solution from 1865, so there is no such "bug" as "the wave equation hasn’t been derived yet in this worldline."

Not to mention anything else.

Just the thinking process required for Fourier transformation in the classical wave equations wouldn’t be published by Fourier in his "Analytical Theory of Heat" until 1822.

The view returns to reality.

At this moment.

Wheat, like a passionate crusader for pure love, was fervently scribbling calculations on the paper:

"Take the curl on both sides..."

"▽·E=0..."

Swish swish swish——

With the dance of the pen tip.

Simplified data appeared on the paper one after another.

And as these expressions appeared, the breathing of the big shots present at the scene gradually became heavier.

Except for William Whewell and Prince Albert, only Wheat, the problem-solver, hadn’t yet realized the seriousness of the situation.

After all, at present, he’s still just a mathematics student, has not formally come into contact with electromagnetism, and lacks enough physical sensitivity.

He was merely simplifying and calculating the formula on a mathematical level, and didn’t have enough brain power to think about the issue of ’meaning’.

But as the calculation came to the final stage, when the answer was about to be written down, even the most dense person should have reacted by now.

This Scottish youth, calculating and calculating, suddenly froze his pen tip.

He raised his head in surprise and looked at Xu Yun, his face a bit flushed:

"Mr. Luo Feng, this... doesn’t this formula mean..."

Xu Yun gently nodded at him and sighed, saying:

"That’s right. Finish writing it, it’s time for certain things to be unsealed."

Gulp——

Wheat dryly swallowed a mouthful of saliva, his gaze quickly swept across the classroom.

Faraday, Thomson, Weber, Joule, Stokes....

At this moment.

These big shots, who would later make up a third of the thickness in high school physics textbooks, all stared intently at Wheat’s pen tip with grave expressions.

Weber’s lips were trembling faintly, Faraday was clutching a small bottle in his hand, Stokes quietly clenched his fist...

Even Joule’s big shiny bald head seemed to reflect even more light...

They were waiting.

Waiting to witness a miracle in mathematics.

"Hoo..."

Wheat puffed out his cheeks, took a deep breath, and started the final calculations on the paper.

"μ? and ε? are constants, so the right side naturally becomes the second partial derivative of the electric field E..."

"Sort out the negative sign, finally..."

Several minutes later.

A final form of expression appeared on the parchment:

▽2B=μ?ε?（?2B/?t2).

▽2E=μ?ε?（?2E/?t2).

The former is the equation for the electric field strength E, the latter is an independent equation for the magnetic induction strength B.

As the expressions were written out, the classroom instantly became quiet enough to hear a pin drop.

Faraday was breathing heavily, and tremblingly took out his nitroglycerin again and placed it under his tongue...

Watching several big shots so excited they were almost like Parkinson’s patients, William Whewell couldn’t help but look at Prince Albert and asked:

"Um... Professors, may I ask what significance this expression has?"

Only then did Stokes remember there were a few laymen present, so he turned and explained to William Whewell:

"Mr. Whewell, you’re an authority in philosophy, so there may be some... uh, barriers in your natural science expertise."

He pointed to the classical wave equation Xu Yun had previously derived, and continued:

"First we know that classmate Luo Feng... or rather Mr. Feiyu, his derivation of this classical wave equation, is absolutely valid mathematically."

"That is, wherever this mathematical formula holds, there must be a wave present."

Xu Yun, hearing this, watched his nose, his mouth, his heart, and didn’t correct Stokes’ mistake—after all, no one knew about quantum concepts yet at that time.

At this moment Stokes spoke again:

"Then Luo Feng introduced the concepts of electric and magnetic fields, and after calculations, the expressions still held. Think about what that means?"

William Whewell was slightly taken aback, beginning to understand what Stokes meant:

"So, in electric and magnetic fields, there are... waves?"

At this point, Faraday had caught his breath, nodded heavily, and added:

"Strictly speaking, it verifies mathematically that the electric field and magnetic field both propagate in space in a wave-like form, and there exists a kind of wave within the field that has never been discovered..."

"A kind that has never been discovered..."

By the end.

Faraday’s tone was nearly mumbling.

By now, he finally understood what Xu Yun meant by "unsealing":

There actually exists an unknown wave within the electromagnetic field he has researched for decades!

Something so important, and he hadn’t known a thing before....

Looking at the conflicted expression of Faraday, Xu Yun couldn’t help but feel some emotion in his heart.

Back when he was in high school, he once happened to read an article.

The article was titled "Faraday’s Regret".