15. Forty-seven
My sister took out about 10 A4 sheets of paper from her bag and handed it to me.
It was a draft of a thesis.
And the title of the paper on the first page is… .
‘Yoon-Chae theorem on differentiability of W-functions in n-dimensional vector space”
Translated into Korean, it reads as follows:
‘The Yun-Chae Theorem on Differentiability of W-Functions in an N-D Vector Space’
I told my sister.
“Wow! It’s already a draft of the thesis, it’s amazing! But what is the request I was talking about a while ago?”
My sister laughed and said.
“Can you take a closer look at whether the formulas in this thesis are correct?”
I looked through the printed thesis and said.
“Well, if you look at a 20-page thesis and pay 20,000 won… Isn’t this child exploitation?”
“Is not it? kinda right? Hmm… Then, when my sister goes to see Professor Park next week, I will buy you some bulgogi.”
“Five! I love bulgogi, Cole!”
“call? Do you know where that word is used? The little guy has already learned such bad things! yes?”
My sister pulled my earlobe.
“Oh! That’s what I learned from my sister back then!”
The major sister returned to her house, and I opened the thesis she had printed.
So, from the first page of the paper, I carefully looked at the evolution of the formula, and it took me two full days to check the last formula, No. 54.
The reason it took two days was because there were too many compressed parts in the formula development.
References were cited in some compressed parts, but since I did not have a way to directly check the cited papers, I had no choice but to derive the formulas by hand one by one.
The reason I checked even the smallest details was that I wanted to help the major, but above all, this thesis needs to be published in a good journal.
past life.
After Mike Schultz’s death, you don’t know how much guilt I felt.
During an interview with Mike, it was advice and words echoed in his ears as hallucinations.
‘You need to talk to Dr. McLean about this problem… . You know, he is a really nice person… . I am sure that he will accept his mistake in the McLean theorem… . Maybe he will even be happy that his own student finds his mistake… … .’
‘(You should talk to Dr. McLean about this issue…. you know, he’s a really nice guy…. I’m sure he’ll admit the fallacy of McLean’s theorem…. maybe he’ll let his student find the error You might be happy that you made it…)
It was from that time.
In my last life, my mentality started to crumble… .
If the major’s sister’s thesis were published in a good journal, David McLean’s third thesis would be withdrawn, and Mike Schultz in this life would be able to pursue the math he so desperately wanted.
It is now to release the feelings of sorry for Mike, whom he had kept in his heart for the rest of his life.
A week later.
I went to Korea University Professor Park Bo-soo with my sister-in-law.
Professor Park and I mainly talked about Dirac’s equation, and it seems that Professor Park has been studying quantum mechanics and Dirac’s equation very hard over the past month.
Dirac’s equation has two solutions, one that describes the motion of electrons with positive energy, and one that describes the energy state of matter with negative energy, i.e. antimatter.
read at noblemtl.com
Now returning to the Riemann hypothesis, the Riemann zeta function has two groups of zeros.
Here, the zero point is none other than the solution of the equation.
The first is a group of self-evident solutions, where on the complex plane the imaginary part is zero and the real part is negative even, the Riemann zeta function has a function value of zero.
I think I twisted the words, to put it simply, -2, -4, -6, -8. -10, … This means that negative even numbers fall into the self-evident group of solutions.
The second non-obvious solution is arranged on a straight line with a real part of 1/2, which is the Riemann hypothesis.
Professor Park Soo-Soo said:
“Why don’t we try to match the obvious zeros of the Riemann zeta function with the positive energy solution of the Dirac equation?”
“Then are non-name zero points connected to the Dirac sea?”
Dirac’s sea.
The empty space of the universe is actually filled with negative energy, which is antimatter, and the word that refers to the empty space filled with antimatter is Dirac’s sea.
Professor Park nodded and said.
“Antimatter in Dirac’s sea is converted into positrons when it receives strong energy, and the positrons rise to the surface and become observable, right?”
I nodded, and Professor Park continued.
“The first positron comes out like this, and if you apply more energy, the second positron will pop out of Dirac’s sea.”
“… … .”
“In this way, if you know the energy to eject the nth positron and the energy required to eject the next n+1th positron, you can find the negative energy value of each antimatter particle.”
“Perhaps… Are you trying to find the relationship between the negative energy value of each antimatter particle and the non-obvious zeros of the Riemann zeta function?”
“right! So, when we meet again next month, I would like to discuss this in more depth. Thanks to Jung-ho, I think I will have to study physics a lot. haha!”
After the meeting, Professor Park made a phone call to the mathematics department’s teaching assistant’s lab and called the major’s sister.
After a while, the major’s older sister entered the professor’s lab and sat down, and Professor Park opened her mouth.
“The major said that Jung-ho helped a lot in writing the thesis. Jung-ho, you said that you should be the author of the paper, what do you think?”
I said.
“no. I just stumbled across a paper on McLean’s theorem, and there’s something strange about the formula development, so I just asked my sister.”
Professor Park shook his head and said.
“Hmm… I don’t think that’s what the Major was thinking.”
The professor looked at the major’s sister, and she opened her mouth.
“Because Jungho pointed out the errors in the McLean theorem and informed them… .”
I quickly waved my hands and cut off my sister’s words.
“I didn’t tell you that, I felt like something was missing from the formula development, so I asked my sister. This is my sister’s major, so I thought she knew it well. So I think it will be difficult for me to be listed as the author of the thesis.”
Professor Park Soo-soo and the major’s sister, both of them, are well aware of the fact that I want to grow up as an ordinary child without being exposed to the outside world.
So they didn’t ask any more when I said no.
Professor Park opened his mouth.
“instead… Can I say thank you to Jung-ho in the acknowledgment section at the end of the thesis?”
I nodded and said.
“Yes, please put only my initials, CJH. And I… I have a suggestion for you regarding the thesis of the major noona.”
For a moment, both eyes focused on me.
ah… Those eyes, it’s embarrassing… .
I took a deep breath and opened my mouth.
“I followed the formula of the thesis as I developed it myself, and I wondered what it would be like to divide the thesis into two.”
“… … .”
“There are two reasons, first, the formula expansion is too long. So, to put all of this in one thesis, you have to compress the formula expansion a lot, and I think the thesis will be too difficult.”
Professor Park said.
“Yeah, I agree with that. But what about the second reason?”
“Because this paper actually has two parts.”
Professor Park nodded silently, and I continued speaking.
“Since one proves the error of McLean’s theorem and the other is the new theorem of the major sister who corrected the error, it would be better to publish each content in two separate papers.”
Professor Park said.
“I think Jung-ho has a point… How are you, Major?”
My sister smiled softly and said.
“It’s fine, Professor. There are two papers. haha!”
I opened my mouth carefully.
“And I have one request.”
“… ?”
“There is a new theory for the major sister. Could you change the name of that to the Yoon-Schultz theorem?”
* * *
When I presented my TOEIC test receipt to my mother, she kept her mouth shut and didn’t say anything for a while.
I ignore my mother’s opinion,
The moment you think you’re overdoing it… .
Mother’s face brightened.
“Thanks to my son, I am able to see the test. haha.”
My mother hasn’t been to school since elementary school… .
It’s like you’ve never taken a proper exam before.
next day.
I was startled.
I wondered if it was my mother who was so stubborn that she would not take the TOEIC test.
There is a thin mock test booklet distributed to you when you sign up for the TOEIC test.
It was a booklet with examples and answers organized by type of problem, and my mother looked at it again and again and read it over and over again.
If I had time to do housework, even for a moment, I sat down at the table and checked the mock test booklet.
After a week, the mock test booklet was tattered.
My mother carefully turned the pages to study because the paper would run out of the booklet.
The mother who was preparing for the TOEIC test looked really happy.
I think it’s the first time I’ve seen a mother so happy in this life and in the past since I was appointed as an assistant professor at Texas State University.
Compared to back then, I like my mother better now.
In the past, she was happy with the success of her child, but now she is enjoying the joy of learning on her own.
It is said that the mother-in-law’s house was the maintenance of a rural village.
Even though he has financial means, his maternal grandfather did not send his mother to school because he was a daughter, but seeing her so happy… My maternal grandfather was to the point of resentment.
After a fortnight, the day of my mother’s TOEIC test finally dawned.