After a while, Lu Zhou typed out a line of words and asked.
Both theories have the possibility of being established, but the conclusions they reach are completely different. If he has conclusive evidence that can refute the other's theory, he will not hesitate to present it to convince Mr. Frank, but It's a pity he didn't.
Wait, group theory? !
The ballpoint pen between his fingers spun faster and faster, and finally flew out with a whoosh, hitting the desk lamp with a "snap".
That is, if α and p are relatively prime, according to Euler’s theorem, α^φ(p)≡1(modp), but φ(p)=p-1, so α^(p-1)≡1(modp), both sides Multiplying α can lead to the conclusion: when α is a natural number and p is a prime number, α^p≡α (mod p).
Group theory…
Without picking it up, Lu Zhou suddenly let out a long sigh, lay down on the table, and sighed with some annoyance.
[What if I can’t find it?]
Group theory…
Putting the "750GeV" matter aside for the time being, Lu Zhou pulled out a brand new A4 paper from the drawer without saying a word, followed this new idea, and began to study it seriously...
The old gentleman typed very quickly, and he responded to his question in less than five minutes.
That is, if α and p are relatively prime, according to Euler’s theorem, α^φ(p)≡1(modp), but φ(p)=p-1, so α^(p-1)≡1(modp), both sides Multiplying α can lead to the conclusion: when α is a natural number and p is a prime number, α^p≡α (mod p).
Yes, this topic brought him this feeling.
Supersymmetric wheels were proposed in the 1960s, and string theory emerged in the 1980s. However, the God particle was found in the laboratory only a few years ago. The theoretical physics community hastily announced that it has entered the "post-standard model" era. Two years before it had time to get excited, Daya Bay's The neutrino oscillated and almost doubled, causing the Standard Model to overturn and start over.
[The possibility you mentioned certainly exists. If we cannot find what we need at the energy scale below TeV, we can only declare the bankruptcy of the minimal supersymmetric standard model, and then go to higher energy regions to find what we are looking for. s things. Proving that our previous work is wrong is also an important discovery, although it is not necessarily what we want to see... But I think you can actually have more confidence in our theory. The New World is right in front of you. I I even smelled the fragrance of spices.]
Without picking it up, Lu Zhou suddenly let out a long sigh, lay down on the table, and sighed with some annoyance.
But if a research has no end in sight and no future in sight, it’s hard to keep him from feeling irritated.
Click to send.
However, Lu Zhou was not so optimistic and could not laugh out loud at all.
Group theory is a very powerful tool. Not only is it one of the two major theoretical artifacts of quantum mechanics along with Hilbert space in functional analysis, it can often be used in number theory, especially when studying infinite prime number problems. Wonderful effect.
There are many ways to prove this theorem, among which the most concise proof method is recognized to be proved by group theory.
After hesitating for a moment, Lu Zhou finally moved his hands on the keyboard and typed a line of words.
However, Lu Zhou was not so optimistic and could not laugh out loud at all.
At the end of the sentence, the old gentleman even joked with him in a relaxed tone.
But in fact, anyone who is careful can find that almost all theoretical physicists will add the word "possible" to their words when publicly describing a novel concept.
In short, his mathematical intuition told him that this possibility was very likely, as large as the amount of work required to perfect this theory!
After hesitating for a moment, Lu Zhou finally moved his hands on the keyboard and typed a line of words.
The old gentleman typed very quickly, and he responded to his question in less than five minutes.
Lu Zhou's eyes lit up, and suddenly an idea flashed in his mind.
Is not it simple
This fleeting light did not illuminate the shadow under the 750GeV characteristic peak, but unexpectedly illuminated the head of Polignac's conjecture.
However, Lu Zhou was not so optimistic and could not laugh out loud at all.
Make conjectures based on proven theories and limited phenomena, and then use countless conjectures to build a model. The "standard model" that theoretical physics relies on is probably such an "unreliable" thing.
However, even Lu Zhou himself did not expect that he would be inspired by an unrelated physics topic.
Click to send.
Even if there is a Nobel Prize-winning leader in the team, he cannot draw a reliable path for him with a positive tone. Countless methods are in front of them, and all they can do is compare the possibilities.
This fleeting light did not illuminate the shadow under the 750GeV characteristic peak, but unexpectedly illuminated the head of Polignac's conjecture.
Far away on the other side of the Pacific, sitting in the passenger seat, waiting for a reply, Professor Frank suddenly burst out laughing, startling the doctoral student sitting next to him in the car.
Perhaps it is because he has not experienced the feeling of studying in the maze of the quantum world for decades, so he has not developed the humor that a theoretical physicist must have when facing unsolved mysteries. Spirit.
But in fact, anyone who is careful can find that almost all theoretical physicists will add the word "possible" to their words when publicly describing a novel concept.
Group theory…
Leaning on the chair, Lu Zhou looked at the ceiling, the symbols kept wandering in his mind, and he even forgot about going to eat soon.
After hesitating for a moment, Lu Zhou finally moved his hands on the keyboard and typed a line of words.
If he can't figure out a problem, it won't make him depressed.
Fighting on two fronts seems to be a wrong choice. One side is number theory, and the other side is functional analysis and group theory. Each problem is a headache.
Supersymmetric wheels were proposed in the 1960s, and string theory emerged in the 1980s. However, the God particle was found in the laboratory only a few years ago. The theoretical physics community hastily announced that it has entered the "post-standard model" era. Two years before it had time to get excited, Daya Bay's The neutrino oscillated and almost doubled, causing the Standard Model to overturn and start over.
But if a research has no end in sight and no future in sight, it’s hard to keep him from feeling irritated.
However, Lu Zhou was not so optimistic and could not laugh out loud at all.
Putting the "750GeV" matter aside for the time being, Lu Zhou pulled out a brand new A4 paper from the drawer without saying a word, followed this new idea, and began to study it seriously...
At the end of the sentence, the old gentleman even joked with him in a relaxed tone.
Yes, this topic brought him this feeling.
Once the inspiration comes, my thoughts are like urinating, and I can’t stop them!
Once the inspiration comes, my thoughts are like urinating, and I can’t stop them!
Even if there is a Nobel Prize-winning leader in the team, he cannot draw a reliable path for him with a positive tone. Countless methods are in front of them, and all they can do is compare the possibilities.
We can only wait for experiments to test it.
Group theory…
Group theory…
Wait, group theory? !
If he can't figure out a problem, it won't make him depressed.
If only theoretical physics were like news.
During this period of time, when Lu Zhou was thinking about the proof of Polignac's conjecture, his thoughts had been on how to supplement the topological principles of the sieve method and how to extend the K=1 form to infinite natural numbers, but he did not consider By using other mathematical methods…
Unlike the mathematical problems he studied, what was wrong was wrong and what was right was right. Reviewing may take time, but it will eventually bring his efforts to a close.
[Maybe you are right, but I am still more inclined to believe that what we discovered was not a new continent, but Iceland.]
Without picking it up, Lu Zhou suddenly let out a long sigh, lay down on the table, and sighed with some annoyance.
I discovered this today, overturned that tomorrow, and confirmed this the day after tomorrow. Every day is a new page...
What makes Lu Zhou feel irritable is not only the dilemma faced by the subject he is engaged in, but also the dilemma faced by the entire theoretical physics community.
In short, his mathematical intuition told him that this possibility was very likely, as large as the amount of work required to perfect this theory!
During this period of time, when Lu Zhou was thinking about the proof of Polignac's conjecture, his thoughts had been on how to supplement the topological principles of the sieve method and how to extend the K=1 form to infinite natural numbers, but he did not consider By using other mathematical methods…
Is not it simple
He stared at the files in the computer for a long time, and then looked at the almost full stack of A4 paper next to him. He grabbed his hair with both hands, his face full of impatience.
Lu Zhou could understand why Mr. Frank was so obsessed with supersymmetry and so eager to find supersymmetric particles.
He stared at the files in the computer for a long time, and then looked at the almost full stack of A4 paper next to him. He grabbed his hair with both hands, his face full of impatience.
This fleeting light did not illuminate the shadow under the 750GeV characteristic peak, but unexpectedly illuminated the head of Polignac's conjecture.
That is, if α and p are relatively prime, according to Euler’s theorem, α^φ(p)≡1(modp), but φ(p)=p-1, so α^(p-1)≡1(modp), both sides Multiplying α can lead to the conclusion: when α is a natural number and p is a prime number, α^p≡α (mod p).
The development of theory is far out of touch with experiments. The construction of this edifice is not even rigorous experimental data, but things that have not been tested experimentally, or even cannot be tested at all within decades.
Group theory is a very powerful tool. Not only is it one of the two major theoretical artifacts of quantum mechanics along with Hilbert space in functional analysis, it can often be used in number theory, especially when studying infinite prime number problems. Wonderful effect.
Group theory is a very powerful tool. Not only is it one of the two major theoretical artifacts of quantum mechanics along with Hilbert space in functional analysis, it can often be used in number theory, especially when studying infinite prime number problems. Wonderful effect.
Make conjectures based on proven theories and limited phenomena, and then use countless conjectures to build a model. The "standard model" that theoretical physics relies on is probably such an "unreliable" thing.
This fleeting light did not illuminate the shadow under the 750GeV characteristic peak, but unexpectedly illuminated the head of Polignac's conjecture.
There are many ways to prove this theorem, among which the most concise proof method is recognized to be proved by group theory.
Unlike the mathematical problems he studied, what was wrong was wrong and what was right was right. Reviewing may take time, but it will eventually bring his efforts to a close.
[The possibility you mentioned certainly exists. If we cannot find what we need at the energy scale below TeV, we can only declare the bankruptcy of the minimal supersymmetric standard model, and then go to higher energy regions to find what we are looking for. s things. Proving that our previous work is wrong is also an important discovery, although it is not necessarily what we want to see... But I think you can actually have more confidence in our theory. The New World is right in front of you. I I even smelled the fragrance of spices.]
Supersymmetric wheels were proposed in the 1960s, and string theory emerged in the 1980s. However, the God particle was found in the laboratory only a few years ago. The theoretical physics community hastily announced that it has entered the "post-standard model" era. Two years before it had time to get excited, Daya Bay's The neutrino oscillated and almost doubled, causing the Standard Model to overturn and start over.
The old gentleman typed very quickly, and he responded to his question in less than five minutes.
…
…
Fighting on two fronts seems to be a wrong choice. One side is number theory, and the other side is functional analysis and group theory. Each problem is a headache.
That is, if α and p are relatively prime, according to Euler’s theorem, α^φ(p)≡1(modp), but φ(p)=p-1, so α^(p-1)≡1(modp), both sides Multiplying α can lead to the conclusion: when α is a natural number and p is a prime number, α^p≡α (mod p).
After hesitating for a moment, Lu Zhou finally moved his hands on the keyboard and typed a line of words.
The development of theory is far out of touch with experiments. The construction of this edifice is not even rigorous experimental data, but things that have not been tested experimentally, or even cannot be tested at all within decades.
Make conjectures based on proven theories and limited phenomena, and then use countless conjectures to build a model. The "standard model" that theoretical physics relies on is probably such an "unreliable" thing.
Lu Zhou could understand why Mr. Frank was so obsessed with supersymmetry and so eager to find supersymmetric particles.
For example, any teacher of basic number theory will mention a very classic example in the first or second class - Fermat's Little Theorem.
Putting the "750GeV" matter aside for the time being, Lu Zhou pulled out a brand new A4 paper from the drawer without saying a word, followed this new idea, and began to study it seriously...
Supersymmetric wheels were proposed in the 1960s, and string theory emerged in the 1980s. However, the God particle was found in the laboratory only a few years ago. The theoretical physics community hastily announced that it has entered the "post-standard model" era. Two years before it had time to get excited, Daya Bay's The neutrino oscillated and almost doubled, causing the Standard Model to overturn and start over.
"Nothing," Mr. Frank shook his head, closed the lid of his notebook, and said with a smile, "The Chinese guy I told you about is quite humorous."
As for how simple it is, a standard font can even do it with just three lines.
The old gentleman typed very quickly, and he responded to his question in less than five minutes.
If only theoretical physics were like news.
Supersymmetric wheels were proposed in the 1960s, and string theory emerged in the 1980s. However, the God particle was found in the laboratory only a few years ago. The theoretical physics community hastily announced that it has entered the "post-standard model" era. Two years before it had time to get excited, Daya Bay's The neutrino oscillated and almost doubled, causing the Standard Model to overturn and start over.
This persistence is definitely not because of something as superficial as a bet, but because if the supersymmetry theory is not established, the loopholes in the standard model cannot be filled, and the string theory based on the supersymmetry theory will also collapse...
This fleeting light did not illuminate the shadow under the 750GeV characteristic peak, but unexpectedly illuminated the head of Polignac's conjecture.
Regarding the speculation about dark matter, Lu Zhou didn't know whether his speculation was correct.
If these things happen, many people will definitely ask them a heart-wrenching question - "What have you been doing for the past half century?"
Once the inspiration comes, my thoughts are like urinating, and I can’t stop them!
Although it was a joke at the end, Lu Zhou was not in a good mood.
Make conjectures based on proven theories and limited phenomena, and then use countless conjectures to build a model. The "standard model" that theoretical physics relies on is probably such an "unreliable" thing.
If we start from the perspective of dark matter, each Z/PZ generator can be mapped to a function like exp (2pi·i/p), and the Pontryagin duality problem can also be properly solved... Probably
However, Lu Zhou was not so optimistic and could not laugh out loud at all.
If only theoretical physics were like news.
However, even Lu Zhou himself did not expect that he would be inspired by an unrelated physics topic.
In fact, Fermat's little theorem is just a special case of Euler's theorem.
I discovered this today, overturned that tomorrow, and confirmed this the day after tomorrow. Every day is a new page...
As for how simple it is, a standard font can even do it with just three lines.
If we start from the perspective of dark matter, each Z/PZ generator can be mapped to a function like exp (2pi·i/p), and the Pontryagin duality problem can also be properly solved... Probably
Yes, this topic brought him this feeling.
The development of theory is far out of touch with experiments. The construction of this edifice is not even rigorous experimental data, but things that have not been tested experimentally, or even cannot be tested at all within decades.
…
But in fact, anyone who is careful can find that almost all theoretical physicists will add the word "possible" to their words when publicly describing a novel concept.
Fighting on two fronts seems to be a wrong choice. One side is number theory, and the other side is functional analysis and group theory. Each problem is a headache.
Quickly slowing down the car, the doctoral student glanced at the computer and asked, "What's wrong?"
Regarding the speculation about dark matter, Lu Zhou didn't know whether his speculation was correct.
Although it was a joke at the end, Lu Zhou was not in a good mood.
For example, any teacher of basic number theory will mention a very classic example in the first or second class - Fermat's Little Theorem.
But in fact, anyone who is careful can find that almost all theoretical physicists will add the word "possible" to their words when publicly describing a novel concept.
At the end of the sentence, the old gentleman even joked with him in a relaxed tone.
Both theories have the possibility of being established, but the conclusions they reach are completely different. If he has conclusive evidence that can refute the other's theory, he will not hesitate to present it to convince Mr. Frank, but It's a pity he didn't.
After a while, Lu Zhou typed out a line of words and asked.
Group theory…
Leaning on the chair, Lu Zhou looked at the ceiling, the symbols kept wandering in his mind, and he even forgot about going to eat soon.
Putting the "750GeV" matter aside for the time being, Lu Zhou pulled out a brand new A4 paper from the drawer without saying a word, followed this new idea, and began to study it seriously...
We can only wait for experiments to test it.
We can only wait for experiments to test it.
The development of theory is far out of touch with experiments. The construction of this edifice is not even rigorous experimental data, but things that have not been tested experimentally, or even cannot be tested at all within decades.
However, Lu Zhou was not so optimistic and could not laugh out loud at all.
However, even Lu Zhou himself did not expect that he would be inspired by an unrelated physics topic.
We can only wait for experiments to test it.
The ballpoint pen between his fingers spun faster and faster, and finally flew out with a whoosh, hitting the desk lamp with a "snap".
Lu Zhou sat up from his chair and turned the pen in his hand, his mind racing rapidly.
After hesitating for a moment, Lu Zhou finally moved his hands on the keyboard and typed a line of words.
"I was negligent... This idea might actually work!"
This persistence is definitely not because of something as superficial as a bet, but because if the supersymmetry theory is not established, the loopholes in the standard model cannot be filled, and the string theory based on the supersymmetry theory will also collapse...
At the end of the sentence, the old gentleman even joked with him in a relaxed tone.
Putting the "750GeV" matter aside for the time being, Lu Zhou pulled out a brand new A4 paper from the drawer without saying a word, followed this new idea, and began to study it seriously...
Group theory…
This fleeting light did not illuminate the shadow under the 750GeV characteristic peak, but unexpectedly illuminated the head of Polignac's conjecture.
Click to send.
[Maybe you are right, but I am still more inclined to believe that what we discovered was not a new continent, but Iceland.]
The ballpoint pen between his fingers spun faster and faster, and finally flew out with a whoosh, hitting the desk lamp with a "snap".
What makes Lu Zhou feel irritable is not only the dilemma faced by the subject he is engaged in, but also the dilemma faced by the entire theoretical physics community.
After a while, Lu Zhou typed out a line of words and asked.
[Maybe you are right, but I am still more inclined to believe that what we discovered was not a new continent, but Iceland.]
The ballpoint pen between his fingers spun faster and faster, and finally flew out with a whoosh, hitting the desk lamp with a "snap".
The old gentleman typed very quickly, and he responded to his question in less than five minutes.
That is, if α and p are relatively prime, according to Euler’s theorem, α^φ(p)≡1(modp), but φ(p)=p-1, so α^(p-1)≡1(modp), both sides Multiplying α can lead to the conclusion: when α is a natural number and p is a prime number, α^p≡α (mod p).
Unlike the mathematical problems he studied, what was wrong was wrong and what was right was right. Reviewing may take time, but it will eventually bring his efforts to a close.
I discovered this today, overturned that tomorrow, and confirmed this the day after tomorrow. Every day is a new page...
This persistence is definitely not because of something as superficial as a bet, but because if the supersymmetry theory is not established, the loopholes in the standard model cannot be filled, and the string theory based on the supersymmetry theory will also collapse...
Far away on the other side of the Pacific, sitting in the passenger seat, waiting for a reply, Professor Frank suddenly burst out laughing, startling the doctoral student sitting next to him in the car.
After a while, Lu Zhou typed out a line of words and asked.
If these things happen, many people will definitely ask them a heart-wrenching question - "What have you been doing for the past half century?"
Both theories have the possibility of being established, but the conclusions they reach are completely different. If he has conclusive evidence that can refute the other's theory, he will not hesitate to present it to convince Mr. Frank, but It's a pity he didn't.
Leaning on the chair, Lu Zhou looked at the ceiling, the symbols kept wandering in his mind, and he even forgot about going to eat soon.
Make conjectures based on proven theories and limited phenomena, and then use countless conjectures to build a model. The "standard model" that theoretical physics relies on is probably such an "unreliable" thing.
For example, any teacher of basic number theory will mention a very classic example in the first or second class - Fermat's Little Theorem.
…
Quickly slowing down the car, the doctoral student glanced at the computer and asked, "What's wrong?"
However, Lu Zhou was not so optimistic and could not laugh out loud at all.
Lu Zhou could understand why Mr. Frank was so obsessed with supersymmetry and so eager to find supersymmetric particles.
This fleeting light did not illuminate the shadow under the 750GeV characteristic peak, but unexpectedly illuminated the head of Polignac's conjecture.
And this is not the most uncomfortable thing. The most uncomfortable thing is that Mr. Frank’s operation of introducing extra dimensions outside the symmetry field really lacks mathematical beauty. Obviously he solves this problem from the perspective of dark matter according to his point of view. Many Problems that cannot be explained mathematically can be avoided.
Quickly slowing down the car, the doctoral student glanced at the computer and asked, "What's wrong?"
After a while, Lu Zhou typed out a line of words and asked.
"Nothing," Mr. Frank shook his head, closed the lid of his notebook, and said with a smile, "The Chinese guy I told you about is quite humorous."
If only the problems in this group of theories were as simple as number theory... although number theory is not simple either.
That is, if α and p are relatively prime, according to Euler’s theorem, α^φ(p)≡1(modp), but φ(p)=p-1, so α^(p-1)≡1(modp), both sides Multiplying α can lead to the conclusion: when α is a natural number and p is a prime number, α^p≡α (mod p).
Wait, group theory? !
…
I discovered this today, overturned that tomorrow, and confirmed this the day after tomorrow. Every day is a new page...
Supersymmetric wheels were proposed in the 1960s, and string theory emerged in the 1980s. However, the God particle was found in the laboratory only a few years ago. The theoretical physics community hastily announced that it has entered the "post-standard model" era. Two years before it had time to get excited, Daya Bay's The neutrino oscillated and almost doubled, causing the Standard Model to overturn and start over.
Although it was a joke at the end, Lu Zhou was not in a good mood.
Is not it simple
He stared at the files in the computer for a long time, and then looked at the almost full stack of A4 paper next to him. He grabbed his hair with both hands, his face full of impatience.
Both theories have the possibility of being established, but the conclusions they reach are completely different. If he has conclusive evidence that can refute the other's theory, he will not hesitate to present it to convince Mr. Frank, but It's a pity he didn't.
If only the problems in this group of theories were as simple as number theory... although number theory is not simple either.
Unlike the mathematical problems he studied, what was wrong was wrong and what was right was right. Reviewing may take time, but it will eventually bring his efforts to a close.
He stared at the files in the computer for a long time, and then looked at the almost full stack of A4 paper next to him. He grabbed his hair with both hands, his face full of impatience.
He stared at the files in the computer for a long time, and then looked at the almost full stack of A4 paper next to him. He grabbed his hair with both hands, his face full of impatience.
For example, any teacher of basic number theory will mention a very classic example in the first or second class - Fermat's Little Theorem.
The old gentleman typed very quickly, and he responded to his question in less than five minutes.
Click to send.
He stared at the files in the computer for a long time, and then looked at the almost full stack of A4 paper next to him. He grabbed his hair with both hands, his face full of impatience.
However, using Euler's theorem, it can still be solved using group theory methods, and the entire proof process does not take half a page.
Fighting on two fronts seems to be a wrong choice. One side is number theory, and the other side is functional analysis and group theory. Each problem is a headache.
During this period of time, when Lu Zhou was thinking about the proof of Polignac's conjecture, his thoughts had been on how to supplement the topological principles of the sieve method and how to extend the K=1 form to infinite natural numbers, but he did not consider By using other mathematical methods…
He stared at the files in the computer for a long time, and then looked at the almost full stack of A4 paper next to him. He grabbed his hair with both hands, his face full of impatience.
But if a research has no end in sight and no future in sight, it’s hard to keep him from feeling irritated.
However, using Euler's theorem, it can still be solved using group theory methods, and the entire proof process does not take half a page.
This fleeting light did not illuminate the shadow under the 750GeV characteristic peak, but unexpectedly illuminated the head of Polignac's conjecture.
And this is not the most uncomfortable thing. The most uncomfortable thing is that Mr. Frank’s operation of introducing extra dimensions outside the symmetry field really lacks mathematical beauty. Obviously he solves this problem from the perspective of dark matter according to his point of view. Many Problems that cannot be explained mathematically can be avoided.
Although it was a joke at the end, Lu Zhou was not in a good mood.
However, Lu Zhou was not so optimistic and could not laugh out loud at all.
If these things happen, many people will definitely ask them a heart-wrenching question - "What have you been doing for the past half century?"
For example, any teacher of basic number theory will mention a very classic example in the first or second class - Fermat's Little Theorem.
"I was negligent... This idea might actually work!"
If we start from the perspective of dark matter, each Z/PZ generator can be mapped to a function like exp (2pi·i/p), and the Pontryagin duality problem can also be properly solved... Probably
The development of theory is far out of touch with experiments. The construction of this edifice is not even rigorous experimental data, but things that have not been tested experimentally, or even cannot be tested at all within decades.
However, even Lu Zhou himself did not expect that he would be inspired by an unrelated physics topic.
In fact, Fermat's little theorem is just a special case of Euler's theorem.
…
Click to send.
However, even Lu Zhou himself did not expect that he would be inspired by an unrelated physics topic.
In short, his mathematical intuition told him that this possibility was very likely, as large as the amount of work required to perfect this theory!
This persistence is definitely not because of something as superficial as a bet, but because if the supersymmetry theory is not established, the loopholes in the standard model cannot be filled, and the string theory based on the supersymmetry theory will also collapse...
Lu Zhou sat up from his chair and turned the pen in his hand, his mind racing rapidly.
Click to send.
This fleeting light did not illuminate the shadow under the 750GeV characteristic peak, but unexpectedly illuminated the head of Polignac's conjecture.
Leaning on the chair, Lu Zhou looked at the ceiling, the symbols kept wandering in his mind, and he even forgot about going to eat soon.
The old gentleman typed very quickly, and he responded to his question in less than five minutes.
What makes Lu Zhou feel irritable is not only the dilemma faced by the subject he is engaged in, but also the dilemma faced by the entire theoretical physics community.
[What if I can’t find it?]
Regarding the speculation about dark matter, Lu Zhou didn't know whether his speculation was correct.
If only theoretical physics were like news.
Is not it simple
In short, his mathematical intuition told him that this possibility was very likely, as large as the amount of work required to perfect this theory!
Group theory…
If he can't figure out a problem, it won't make him depressed.
Supersymmetric wheels were proposed in the 1960s, and string theory emerged in the 1980s. However, the God particle was found in the laboratory only a few years ago. The theoretical physics community hastily announced that it has entered the "post-standard model" era. Two years before it had time to get excited, Daya Bay's The neutrino oscillated and almost doubled, causing the Standard Model to overturn and start over.
Click to send.
[The possibility you mentioned certainly exists. If we cannot find what we need at the energy scale below TeV, we can only declare the bankruptcy of the minimal supersymmetric standard model, and then go to higher energy regions to find what we are looking for. s things. Proving that our previous work is wrong is also an important discovery, although it is not necessarily what we want to see... But I think you can actually have more confidence in our theory. The New World is right in front of you. I I even smelled the fragrance of spices.]
But in fact, anyone who is careful can find that almost all theoretical physicists will add the word "possible" to their words when publicly describing a novel concept.
If we start from the perspective of dark matter, each Z/PZ generator can be mapped to a function like exp (2pi·i/p), and the Pontryagin duality problem can also be properly solved... Probably
Group theory…
That is, if α and p are relatively prime, according to Euler’s theorem, α^φ(p)≡1(modp), but φ(p)=p-1, so α^(p-1)≡1(modp), both sides Multiplying α can lead to the conclusion: when α is a natural number and p is a prime number, α^p≡α (mod p).
If only the problems in this group of theories were as simple as number theory... although number theory is not simple either.
And this is not the most uncomfortable thing. The most uncomfortable thing is that Mr. Frank’s operation of introducing extra dimensions outside the symmetry field really lacks mathematical beauty. Obviously he solves this problem from the perspective of dark matter according to his point of view. Many Problems that cannot be explained mathematically can be avoided.
For example, any teacher of basic number theory will mention a very classic example in the first or second class - Fermat's Little Theorem.
Both theories have the possibility of being established, but the conclusions they reach are completely different. If he has conclusive evidence that can refute the other's theory, he will not hesitate to present it to convince Mr. Frank, but It's a pity he didn't.
Far away on the other side of the Pacific, sitting in the passenger seat, waiting for a reply, Professor Frank suddenly burst out laughing, startling the doctoral student sitting next to him in the car.
If only the problems in this group of theories were as simple as number theory... although number theory is not simple either.
The development of theory is far out of touch with experiments. The construction of this edifice is not even rigorous experimental data, but things that have not been tested experimentally, or even cannot be tested at all within decades.
In fact, Fermat's little theorem is just a special case of Euler's theorem.
Wait, group theory? !
Once the inspiration comes, my thoughts are like urinating, and I can’t stop them!
This persistence is definitely not because of something as superficial as a bet, but because if the supersymmetry theory is not established, the loopholes in the standard model cannot be filled, and the string theory based on the supersymmetry theory will also collapse...
The ballpoint pen between his fingers spun faster and faster, and finally flew out with a whoosh, hitting the desk lamp with a "snap".
[Maybe you are right, but I am still more inclined to believe that what we discovered was not a new continent, but Iceland.]
Lu Zhou's eyes lit up, and suddenly an idea flashed in his mind.
And this is not the most uncomfortable thing. The most uncomfortable thing is that Mr. Frank’s operation of introducing extra dimensions outside the symmetry field really lacks mathematical beauty. Obviously he solves this problem from the perspective of dark matter according to his point of view. Many Problems that cannot be explained mathematically can be avoided.
He stared at the files in the computer for a long time, and then looked at the almost full stack of A4 paper next to him. He grabbed his hair with both hands, his face full of impatience.
Lu Zhou sat up from his chair and turned the pen in his hand, his mind racing rapidly.
However, using Euler's theorem, it can still be solved using group theory methods, and the entire proof process does not take half a page.
In fact, many papers on the Arxiv website have been doing the same thing for more than half a year, trying to improve his method, and then solving the Polignac conjecture on this basis.
Group theory…
This fleeting light did not illuminate the shadow under the 750GeV characteristic peak, but unexpectedly illuminated the head of Polignac's conjecture.
In fact, many papers on the Arxiv website have been doing the same thing for more than half a year, trying to improve his method, and then solving the Polignac conjecture on this basis.
Both theories have the possibility of being established, but the conclusions they reach are completely different. If he has conclusive evidence that can refute the other's theory, he will not hesitate to present it to convince Mr. Frank, but It's a pity he didn't.
Lu Zhou sat up from his chair and turned the pen in his hand, his mind racing rapidly.
For example, any teacher of basic number theory will mention a very classic example in the first or second class - Fermat's Little Theorem.
After hesitating for a moment, Lu Zhou finally moved his hands on the keyboard and typed a line of words.
Group theory…
But if a research has no end in sight and no future in sight, it’s hard to keep him from feeling irritated.
Yes, this topic brought him this feeling.
There are many ways to prove this theorem, among which the most concise proof method is recognized to be proved by group theory.
Group theory is a very powerful tool. Not only is it one of the two major theoretical artifacts of quantum mechanics along with Hilbert space in functional analysis, it can often be used in number theory, especially when studying infinite prime number problems. Wonderful effect.
The way to rescue the princess trapped in the castle by the dragon is not to enchant the sword that once killed a small dragon, but to take off the long bow on his back.
But in fact, anyone who is careful can find that almost all theoretical physicists will add the word "possible" to their words when publicly describing a novel concept.
He stared at the files in the computer for a long time, and then looked at the almost full stack of A4 paper next to him. He grabbed his hair with both hands, his face full of impatience.
During this period of time, when Lu Zhou was thinking about the proof of Polignac's conjecture, his thoughts had been on how to supplement the topological principles of the sieve method and how to extend the K=1 form to infinite natural numbers, but he did not consider By using other mathematical methods…
[What if I can’t find it?]
Without picking it up, Lu Zhou suddenly let out a long sigh, lay down on the table, and sighed with some annoyance.
[What if I can’t find it?]
For example, any teacher of basic number theory will mention a very classic example in the first or second class - Fermat's Little Theorem.
There are many ways to prove this theorem, among which the most concise proof method is recognized to be proved by group theory.
And this is not the most uncomfortable thing. The most uncomfortable thing is that Mr. Frank’s operation of introducing extra dimensions outside the symmetry field really lacks mathematical beauty. Obviously he solves this problem from the perspective of dark matter according to his point of view. Many Problems that cannot be explained mathematically can be avoided.
But in fact, anyone who is careful can find that almost all theoretical physicists will add the word "possible" to their words when publicly describing a novel concept.
There are many ways to prove this theorem, among which the most concise proof method is recognized to be proved by group theory.
The development of theory is far out of touch with experiments. The construction of this edifice is not even rigorous experimental data, but things that have not been tested experimentally, or even cannot be tested at all within decades.
Wait, group theory? !
However, using Euler's theorem, it can still be solved using group theory methods, and the entire proof process does not take half a page.
If only theoretical physics were like news.
If he can't figure out a problem, it won't make him depressed.
Quickly slowing down the car, the doctoral student glanced at the computer and asked, "What's wrong?"
As for how simple it is, a standard font can even do it with just three lines.
Yes, this topic brought him this feeling.
Group theory…
I discovered this today, overturned that tomorrow, and confirmed this the day after tomorrow. Every day is a new page...
"I was negligent... This idea might actually work!"
Even if there is a Nobel Prize-winning leader in the team, he cannot draw a reliable path for him with a positive tone. Countless methods are in front of them, and all they can do is compare the possibilities.
Lu Zhou sat up from his chair and turned the pen in his hand, his mind racing rapidly.
That is, if α and p are relatively prime, according to Euler’s theorem, α^φ(p)≡1(modp), but φ(p)=p-1, so α^(p-1)≡1(modp), both sides Multiplying α can lead to the conclusion: when α is a natural number and p is a prime number, α^p≡α (mod p).
Wait, group theory? !
I discovered this today, overturned that tomorrow, and confirmed this the day after tomorrow. Every day is a new page...
Make conjectures based on proven theories and limited phenomena, and then use countless conjectures to build a model. The "standard model" that theoretical physics relies on is probably such an "unreliable" thing.
Unlike the mathematical problems he studied, what was wrong was wrong and what was right was right. Reviewing may take time, but it will eventually bring his efforts to a close.
Far away on the other side of the Pacific, sitting in the passenger seat, waiting for a reply, Professor Frank suddenly burst out laughing, startling the doctoral student sitting next to him in the car.
Wait, group theory? !
If he can't figure out a problem, it won't make him depressed.
Unlike the mathematical problems he studied, what was wrong was wrong and what was right was right. Reviewing may take time, but it will eventually bring his efforts to a close.
Is not it simple
But in fact, anyone who is careful can find that almost all theoretical physicists will add the word "possible" to their words when publicly describing a novel concept.
He stared at the files in the computer for a long time, and then looked at the almost full stack of A4 paper next to him. He grabbed his hair with both hands, his face full of impatience.
If only theoretical physics were like news.
In fact, Fermat's little theorem is just a special case of Euler's theorem.
If only theoretical physics were like news.
Both theories have the possibility of being established, but the conclusions they reach are completely different. If he has conclusive evidence that can refute the other's theory, he will not hesitate to present it to convince Mr. Frank, but It's a pity he didn't.
However, using Euler's theorem, it can still be solved using group theory methods, and the entire proof process does not take half a page.
In fact, many papers on the Arxiv website have been doing the same thing for more than half a year, trying to improve his method, and then solving the Polignac conjecture on this basis.
This persistence is definitely not because of something as superficial as a bet, but because if the supersymmetry theory is not established, the loopholes in the standard model cannot be filled, and the string theory based on the supersymmetry theory will also collapse...
During this period of time, when Lu Zhou was thinking about the proof of Polignac's conjecture, his thoughts had been on how to supplement the topological principles of the sieve method and how to extend the K=1 form to infinite natural numbers, but he did not consider By using other mathematical methods…
After a while, Lu Zhou typed out a line of words and asked.
Once the inspiration comes, my thoughts are like urinating, and I can’t stop them!
[The possibility you mentioned certainly exists. If we cannot find what we need at the energy scale below TeV, we can only declare the bankruptcy of the minimal supersymmetric standard model, and then go to higher energy regions to find what we are looking for. s things. Proving that our previous work is wrong is also an important discovery, although it is not necessarily what we want to see... But I think you can actually have more confidence in our theory. The New World is right in front of you. I I even smelled the fragrance of spices.]
Lu Zhou's eyes lit up, and suddenly an idea flashed in his mind.
If these things happen, many people will definitely ask them a heart-wrenching question - "What have you been doing for the past half century?"
In fact, many papers on the Arxiv website have been doing the same thing for more than half a year, trying to improve his method, and then solving the Polignac conjecture on this basis.
The ballpoint pen between his fingers spun faster and faster, and finally flew out with a whoosh, hitting the desk lamp with a "snap".
If only theoretical physics were like news.
However, even Lu Zhou himself did not expect that he would be inspired by an unrelated physics topic.
Group theory…
Click to send.
However, Lu Zhou was not so optimistic and could not laugh out loud at all.
If these things happen, many people will definitely ask them a heart-wrenching question - "What have you been doing for the past half century?"
In fact, many papers on the Arxiv website have been doing the same thing for more than half a year, trying to improve his method, and then solving the Polignac conjecture on this basis.
The way to rescue the princess trapped in the castle by the dragon is not to enchant the sword that once killed a small dragon, but to take off the long bow on his back.
Putting the "750GeV" matter aside for the time being, Lu Zhou pulled out a brand new A4 paper from the drawer without saying a word, followed this new idea, and began to study it seriously...
Lu Zhou could understand why Mr. Frank was so obsessed with supersymmetry and so eager to find supersymmetric particles.
That is, if α and p are relatively prime, according to Euler’s theorem, α^φ(p)≡1(modp), but φ(p)=p-1, so α^(p-1)≡1(modp), both sides Multiplying α can lead to the conclusion: when α is a natural number and p is a prime number, α^p≡α (mod p).
Regarding the speculation about dark matter, Lu Zhou didn't know whether his speculation was correct.
Lu Zhou sat up from his chair and turned the pen in his hand, his mind racing rapidly.
Lu Zhou sat up from his chair and turned the pen in his hand, his mind racing rapidly.
But if a research has no end in sight and no future in sight, it’s hard to keep him from feeling irritated.
Perhaps it is because he has not experienced the feeling of studying in the maze of the quantum world for decades, so he has not developed the humor that a theoretical physicist must have when facing unsolved mysteries. Spirit.
The ballpoint pen between his fingers spun faster and faster, and finally flew out with a whoosh, hitting the desk lamp with a "snap".
There are many ways to prove this theorem, among which the most concise proof method is recognized to be proved by group theory.
Make conjectures based on proven theories and limited phenomena, and then use countless conjectures to build a model. The "standard model" that theoretical physics relies on is probably such an "unreliable" thing.
Without picking it up, Lu Zhou suddenly let out a long sigh, lay down on the table, and sighed with some annoyance.
…
For example, any teacher of basic number theory will mention a very classic example in the first or second class - Fermat's Little Theorem.
Once the inspiration comes, my thoughts are like urinating, and I can’t stop them!
In short, his mathematical intuition told him that this possibility was very likely, as large as the amount of work required to perfect this theory!
Even if there is a Nobel Prize-winning leader in the team, he cannot draw a reliable path for him with a positive tone. Countless methods are in front of them, and all they can do is compare the possibilities.
"I was negligent... This idea might actually work!"
However, Lu Zhou was not so optimistic and could not laugh out loud at all.
Group theory…
That is, if α and p are relatively prime, according to Euler’s theorem, α^φ(p)≡1(modp), but φ(p)=p-1, so α^(p-1)≡1(modp), both sides Multiplying α can lead to the conclusion: when α is a natural number and p is a prime number, α^p≡α (mod p).
Regarding the speculation about dark matter, Lu Zhou didn't know whether his speculation was correct.
Is not it simple
Once the inspiration comes, my thoughts are like urinating, and I can’t stop them!
For example, any teacher of basic number theory will mention a very classic example in the first or second class - Fermat's Little Theorem.
Click to send.
After hesitating for a moment, Lu Zhou finally moved his hands on the keyboard and typed a line of words.
If these things happen, many people will definitely ask them a heart-wrenching question - "What have you been doing for the past half century?"
The ballpoint pen between his fingers spun faster and faster, and finally flew out with a whoosh, hitting the desk lamp with a "snap".
But in fact, anyone who is careful can find that almost all theoretical physicists will add the word "possible" to their words when publicly describing a novel concept.
Regarding the speculation about dark matter, Lu Zhou didn't know whether his speculation was correct.
Putting the "750GeV" matter aside for the time being, Lu Zhou pulled out a brand new A4 paper from the drawer without saying a word, followed this new idea, and began to study it seriously...
The old gentleman typed very quickly, and he responded to his question in less than five minutes.
Although it was a joke at the end, Lu Zhou was not in a good mood.
However, using Euler's theorem, it can still be solved using group theory methods, and the entire proof process does not take half a page.
…
Even if there is a Nobel Prize-winning leader in the team, he cannot draw a reliable path for him with a positive tone. Countless methods are in front of them, and all they can do is compare the possibilities.
If he can't figure out a problem, it won't make him depressed.