Bell's Inequality

"Eh? You live next door?"

Liu Xiaoke was unlocking her door when she saw Wang Yi coming out beside her to throw away the trash. She tilted her head in surprise.

Wang Yi had deliberately opened his door after hearing her return. After all, she had helped him out and was his new neighbor. Of course, most importantly, he wanted to ask for the Wi-Fi password, since he would not be able to get an internet line installed until tomorrow.

"Yes, and thank you for helping me today. Let's add each other as friends. If you run into any trouble, you can come to me."

Wang Yi waved the phone in his hand.

"I didn't expect someone who looks so young to have so many tricks up his sleeve."

Liu Xiaoke wore an expression that said she had seen through him. As a beauty, she was often approached by people using all kinds of excuses to ask for her Shake Message contact. Still, she did not reject Wang Yi's attempt to add her as a friend. For some reason, she felt an instinctive sense of trust toward this young man who had been duped away by a pyramid scheme.

"Of course. Sister Xiaoke is a great beauty, after all."

Naturally, Wang Yi was not about to spoil the mood by saying that he was really after the Wi-Fi password.

"Oh, right. What's your Wi-Fi password? I won't get my internet line installed until tomorrow."

Wang Yi casually stated his real purpose.

"Eight eights. I'm watching dramas tonight, so don't download any movies."

"I won't. Thanks."

After saying that, Wang Yi finished throwing out the trash and returned to his room.

After connecting to the Wi-Fi, Wang Yi logged into his Alma Mater Science Institute student account.

Even after graduation, he could still use the school's databases. For those who needed them, that was absolutely a benefit. Every school had to pay a hefty annual fee for database access, yet students could use them for free.

Otherwise, individuals had to pay to download the materials they needed, and many of them charged in US Dollars.

This world protected knowledge-related rights extremely well.

Wang Yi then began searching for and downloading the papers he needed, all of them related to Quantum Mechanics.

During his three years in the magic world, Overclocking had helped him absorb an enormous amount of knowledge. He had also encountered all kinds of bottlenecks while researching. Through recalling them under Overclocking, he could confirm that those sticking points had subtle connections and complementary aspects with Quantum Mechanics here.

Unfortunately, his previous focus had been on algorithms and electronics. He could only be said to have heard a little about Quantum Mechanics before. Now, he had to cram.

First, he would go through everything his predecessors had summarized and see whether it could offer him inspiration and help.

Besides that, he also completed and submitted his first paper.

It was a Pure Number Theory paper on a proof of the Goldbach Conjecture. (Please don't argue with me. I can't prove it.)

The reason Wang Yi had studied mathematics was connected to a Spell Model he had created himself.

Since he had always kept a low profile in the Mage Tower, Wang Yi severely lacked assistants. That made him set his sights on the undead, and in the end, he focused on skeletons.

However, ordinary skeletons were far too rigid, and the summoning process was overly simple. It was precisely that simplicity that left Wang Yi feeling at a loss.

In the end, after deep reflection, he relied on Overclocking and his own mathematical foundation, combined with practical work on Spell Models and some mathematical theories from another world, to bring about a collision between the sparks of two civilizations. He completed the process of "because... therefore," thereby improving Summon Skeleton.

The conjecture itself was one achievement, but what truly mattered were the mathematical tools perfected through some novel ideas from the other world.

Wang Yi could now give skeletons certain specific programs and have them perform designated tasks. This had long surpassed the abilities the Skeleton Summoner Spell Model should originally have possessed.

Therefore, he had complete confidence in this paper and wrote it with ease. He only needed to fill in some proof steps for mathematical insights from the other world.

When he saw the "Submitted to Journal" prompt, he knew the submission had succeeded. All that remained was to wait.

For such a groundbreaking proof, the review would certainly be cautious. Taking more than a month was perfectly normal.

It was precisely because he knew the wait would be long that Wang Yi had sent it out first.

As for becoming famous or attracting attention, Wang Yi did not really care. Although he did indeed have many secrets, a Pure Number Theory conjecture like this would have limited impact even if it eventually won him an international award.

In this era that had only recently entered the age of smartphones, ordinary people cared far more about celebrities and gossip.

There might be a stir in academia, and it might draw the attention of his Alma Mater and even higher levels, but the importance a number theory topic could attract was relatively controllable.

It was not as if he had unveiled a Perpetual Motion Machine.

However, Wang Yi had always been a practical-minded person in the past. He learned using existing knowledge, and even his own papers had merely been written to get by. He lacked experience in this area.

A paper in the field of pure mathematics should have been submitted to a specialized journal such as the Annals of Mathematics, but he had directly submitted it to this world's Science.

And the famed Science was itself a disaster zone for bombardment by Folk Scientists. Like the Perpetual Motion Machine, the Goldbach Conjecture received a huge number of submissions every year.

The title Wang Yi had chosen fit that pattern perfectly...

But Wang Yi, who did not know much about such matters, tossed it aside after finishing those steps and began focusing on the papers he needed.

With Overclocking activated, he read while downloading. The extra time it gave him was used to gradually digest the related papers thoroughly.

Eventually, he narrowed one major question troubling him down to Bell's Inequality.

Did God play dice?

This question had also long troubled the mages of the other world. One faction believed that all things in the world completely followed certain laws, without exception.

If something could not be predicted, that was only because some hidden variables had yet to be discovered or perceived.

The other faction believed the exact opposite.

This could be said to involve the Law of Causality. Mages placed enormous importance on it because they truly could make use of it.

"Damn, a formula can be established like this? It can be verified like this? Sure enough, some problems only need a single paper window to be pierced."

Bell's Inequality itself was not complicated, but it was precisely its relative simplicity that made it all the more important. Mathematics did not lie.

By the 1980s, Second generation testing instruments had already nearly completed the falsification of Bell's Inequality.

Third-generation testing instruments were even more precise.

However, what Wang Yi needed more was this line of thought and the verification process, which he could use to verify the troubles on his magic side.

He could completely use similar experiments to verify the problem troubling him!

This gave Wang Yi the exhilarating feeling that he was about to pursue Truth.

Many people had heard of Quantum Entanglement. Entangled photons could be used to determine the state of one through the other. Bell and Einstein both believed that this was because the photons had been assigned some sort of information from the start. Or rather, they followed some formula and law, with hidden variables written in advance, which was why entangled photons moved in step. There was no connection between the entangled photons themselves.

To support Einstein, Bell specifically developed Bell's Inequality. If it held true, then Einstein was right, and some hidden variable did indeed exist.

To verify it, one first assumed that hidden variables really existed, then designed an experiment to prove or falsify them.

Because photons were also electromagnetic waves and possessed wave properties, waves had amplitudes and polarization directions. Thus, different polarizers could be used to make entangled photons "answer questions," and the differing results of different photons passing through different polarizers could be counted.

With high-precision experiments and greater data collection, the statistics could be plugged into Bell's Inequality to see whether the results matched, thereby determining whether the photons had some hidden variable written into them beforehand or not...

As Wang Yi read, the Radiance of arcane arts bloomed in his eyes, and his heart surged with emotion.

"Sure enough, the most dazzling essence of a civilization is the knowledge it has summarized."

Bell's Inequality was not complicated, nor was the principle behind the experiment. The only real difficulties were precision and instruments. Yet this seemingly simple inequality and experiment, this ingenious line of thought, could solve difficult problems at the forefront.

Someone had already completed verification of the quantum world. What remained was Wang Yi's verification of the magic world...

First update. Group number: 142206324

However, because there were currently too many trivial matters in life, nearly all his spare time was spent writing, so his Integrity rarely made an appearance.