Proven
Proven
"Okay... Speaking of which, I never understand why you like to type your papers on paper. Aren't e-readers very convenient nowadays?"
"Don't gloat about his misfortune. His paper still has merits, such as the part that discusses the existence of four-dimensional gauge fields based on the regularization of lattice points, and another example of the partial gauge invariant action given by Euclid on the torus. He has a well-defined path integral... Of course, he has many problems."
Luo Wenxuan: "For example?"
Seeing Lu Zhou's indifferent look, Luo Wenxuan opened his mouth and finally sighed.
Lu Zhou glanced at the screen in surprise and put down the coffee cup in his hand.
Lu Zhou: "What is there to regret about this?"
At this point, Lu Zhou, who made another cup of coffee, blew it along the rim of the cup, took a sip, paused for a few seconds and continued, "But I'm not sure if it's because it's a preprint. Maybe He already thought of a good way to prove it, he just didn't post it here."
"So he's wrong?"
And what surprised Lu Zhou the most was that the method used by Professor Brian Carlo was very similar to the idea chosen by him and Senior Brother Luo. They were both based on Professor Jaffe’s paper published in the Annual Journal of Mathematics. , to explain the existence of the mass gap by studying particles with mass m.
"Are you sure you are claiming proof? Rather than providing a possible proof idea?"
Although this situation is relatively rare in the world of mathematics, it is not uncommon in the world of physics. Especially in the field of theoretical physics, when it comes to research on some major propositions, even many senior professors like to post preprints first to prevent scholars in the same field from jumping in first.
"Are you sure you are claiming proof? Rather than providing a possible proof idea?"
"Don't you feel sorry?"
"Okay... Speaking of which, I never understand why you like to type your papers on paper. Aren't e-readers very convenient nowadays?"
"Yes... the author of the paper claims to have solved the mass gap problem of the Yang-Mills equation, and the claimant's background is not small," Luo Wenxuan continued in an unbelieving tone as his eyes swept over the author's information. "Brian Carlo, a professor at the University of Oxford, a fellow of the Royal Society and an academician of the European Academy of Sciences, has participated in research related to the discovery of the Higgs particle, and has won five honors including the Newton Medal from the British Physical Society... Incredible, he He’s sixty years old this year.”
What Brian Carlo considered was not to introduce a quantum field corresponding to the classical action in the aforementioned problem - that is, the quantum Yang-Mills field to solve this problem. Instead, he adopted a method similar to Weinberg, by introducing A scalar field on the space-time manifold to solve this problem.
As soon as he heard what Lu Zhou said, Luo Wenxuan immediately raised his head and said with high spirits.
"Don't you feel sorry?"
"What if he's right?"
…
As soon as he heard what Lu Zhou said, Luo Wenxuan immediately raised his head and said with high spirits.
Sixty is not the golden age for studying physics, but it is not the age when memory declines. However, even so, it is not easy to achieve such results at this age.
Luo Wenxuan clicked the mouse twice: "The preprint has been released."
After printing out the paper, Lu Zhou found a sofa in Senior Brother Luo's office and sat down. He quickly read through the main text based on the abstract of the paper.
"That's right, that's right. Is there any problem with that?"
Luo Wenxuan made a helpless expression: "Please, we have been researching for such a long time, and now we are only just short of the last point but someone else has taken the lead. Don't you feel anything at all?"
"Don't you feel sorry?"
However, perhaps because Lu Zhou didn't know much about theoretical physics, he had never heard of Professor Brian Carlo.
After printing out the paper, Lu Zhou found a sofa in Senior Brother Luo's office and sat down. He quickly read through the main text based on the abstract of the paper.
Sure enough, you still have to rely on yourself to solve this problem.
After listening to Senior Brother Luo finish reading his resume, Lu Zhou paused and continued to ask.
Lu Zhou said casually: "There will be a day."
Overall, Professor Brian Carlo's abilities are pretty good, both in a mathematical and physical sense. Although there is still a certain gap between him and some of the top scholars he knows, at least his ability and reputation are consistent.
And what surprised Lu Zhou the most was that the method used by Professor Brian Carlo was very similar to the idea chosen by him and Senior Brother Luo. They were both based on Professor Jaffe’s paper published in the Annual Journal of Mathematics. , to explain the existence of the mass gap by studying particles with mass m.
Hearing these words, Lu Zhou was stunned for a moment and looked at him strangely.
"So he's wrong?"
"For example, while he discussed this issue from the perspective of regularization of grid points, he did not prove the limit when the grid step size tends to zero. Therefore, the method of defining gauge-invariant actions in torus Euclid spacetime is not rigorous, or even it is wrong."
As soon as he heard what Lu Zhou said, Luo Wenxuan immediately raised his head and said with high spirits.
"Has the paper been released as a preprint? Or is it just an abstract?"
After all, it is too difficult to achieve results in this field. Being a step slower than others may cause years of hard work to be wasted.
As soon as he heard what Lu Zhou said, Luo Wenxuan immediately raised his head and said with high spirits.
Luo Wenxuan made a helpless expression: "Please, we have been researching for such a long time, and now we are only just short of the last point but someone else has taken the lead. Don't you feel anything at all?"
What Brian Carlo considered was not to introduce a quantum field corresponding to the classical action in the aforementioned problem - that is, the quantum Yang-Mills field to solve this problem. Instead, he adopted a method similar to Weinberg, by introducing A scalar field on the space-time manifold to solve this problem.
Although this situation is relatively rare in the world of mathematics, it is not uncommon in the world of physics. Especially in the field of theoretical physics, when it comes to research on some major propositions, even many senior professors like to post preprints first to prevent scholars in the same field from jumping in first.
Lu Zhou said nonchalantly: "There's nothing to regret. No matter who solves this problem, it's the same to me."
Luo Wenxuan clicked the mouse twice: "The preprint has been released."
"Has the paper been released as a preprint? Or is it just an abstract?"
At least the format has met the format requirements of general medium- and long-form journals, and the argument part of the text is relatively clear. It is not like those preprints that are just posted on the Internet for the sake of embarrassment. You can find a dozen of them at a glance. A loophole.
Although this situation is relatively rare in the world of mathematics, it is not uncommon in the world of physics. Especially in the field of theoretical physics, when it comes to research on some major propositions, even many senior professors like to post preprints first to prevent scholars in the same field from jumping in first.
"Has the paper been released as a preprint? Or is it just an abstract?"
Having won both the Fields Medal and the Nobel Prize, Lu Zhou actually doesn't have much pursuit of personal honors anymore. He studies these issues just because he wants to get an answer. If someone was inspired by his research and successfully solved the problem of mass gap, he would be more happy than solving the problem himself.
However, perhaps because Lu Zhou didn't know much about theoretical physics, he had never heard of Professor Brian Carlo.
Although this situation is relatively rare in the world of mathematics, it is not uncommon in the world of physics. Especially in the field of theoretical physics, when it comes to research on some major propositions, even many senior professors like to post preprints first to prevent scholars in the same field from jumping in first.
Hearing these words, Lu Zhou was stunned for a moment and looked at him strangely.
After all, it is too difficult to achieve results in this field. Being a step slower than others may cause years of hard work to be wasted.
After all, it is too difficult to achieve results in this field. Being a step slower than others may cause years of hard work to be wasted.
Luo Wenxuan: "So he didn't prove it?"
Regardless of the controversial aspects of the paper, at least in Lu Zhou's opinion, it is very imprecise.
"There's no particular reason, it's just that I like to read papers that are tangible."
"Don't gloat about his misfortune. His paper still has merits, such as the part that discusses the existence of four-dimensional gauge fields based on the regularization of lattice points, and another example of the partial gauge invariant action given by Euclid on the torus. He has a well-defined path integral... Of course, he has many problems."
"Yes... the author of the paper claims to have solved the mass gap problem of the Yang-Mills equation, and the claimant's background is not small," Luo Wenxuan continued in an unbelieving tone as his eyes swept over the author's information. "Brian Carlo, a professor at the University of Oxford, a fellow of the Royal Society and an academician of the European Academy of Sciences, has participated in research related to the discovery of the Higgs particle, and has won five honors including the Newton Medal from the British Physical Society... Incredible, he He’s sixty years old this year.”
Lu Zhou said with great interest: "Print a copy for me."
"What if he's right?"
"Yes... the author of the paper claims to have solved the mass gap problem of the Yang-Mills equation, and the claimant's background is not small," Luo Wenxuan continued in an unbelieving tone as his eyes swept over the author's information. "Brian Carlo, a professor at the University of Oxford, a fellow of the Royal Society and an academician of the European Academy of Sciences, has participated in research related to the discovery of the Higgs particle, and has won five honors including the Newton Medal from the British Physical Society... Incredible, he He’s sixty years old this year.”
"What if he's right?"
In a minute or two, a twenty-page paper was printed on the paper.
What Brian Carlo considered was not to introduce a quantum field corresponding to the classical action in the aforementioned problem - that is, the quantum Yang-Mills field to solve this problem. Instead, he adopted a method similar to Weinberg, by introducing A scalar field on the space-time manifold to solve this problem.
"Okay... Speaking of which, I never understand why you like to type your papers on paper. Aren't e-readers very convenient nowadays?"
At this point, Lu Zhou, who made another cup of coffee, blew it along the rim of the cup, took a sip, paused for a few seconds and continued, "But I'm not sure if it's because it's a preprint. Maybe He already thought of a good way to prove it, he just didn't post it here."
"Yes... the author of the paper claims to have solved the mass gap problem of the Yang-Mills equation, and the claimant's background is not small," Luo Wenxuan continued in an unbelieving tone as his eyes swept over the author's information. "Brian Carlo, a professor at the University of Oxford, a fellow of the Royal Society and an academician of the European Academy of Sciences, has participated in research related to the discovery of the Higgs particle, and has won five honors including the Newton Medal from the British Physical Society... Incredible, he He’s sixty years old this year.”
Luo Wenxuan: "So he didn't prove it?"
Lu Zhou said casually: "There will be a day."
"Yes... the author of the paper claims to have solved the mass gap problem of the Yang-Mills equation, and the claimant's background is not small," Luo Wenxuan continued in an unbelieving tone as his eyes swept over the author's information. "Brian Carlo, a professor at the University of Oxford, a fellow of the Royal Society and an academician of the European Academy of Sciences, has participated in research related to the discovery of the Higgs particle, and has won five honors including the Newton Medal from the British Physical Society... Incredible, he He’s sixty years old this year.”
At this point, Lu Zhou, who made another cup of coffee, blew it along the rim of the cup, took a sip, paused for a few seconds and continued, "But I'm not sure if it's because it's a preprint. Maybe He already thought of a good way to prove it, he just didn't post it here."
"There's no particular reason, it's just that I like to read papers that are tangible."
"Okay... Speaking of which, I never understand why you like to type your papers on paper. Aren't e-readers very convenient nowadays?"
"Are you sure you are claiming proof? Rather than providing a possible proof idea?"
Although Lu Zhou occasionally browses documents on his mobile phone, this is always at inconvenient times.
In a minute or two, a twenty-page paper was printed on the paper.
And what surprised Lu Zhou the most was that the method used by Professor Brian Carlo was very similar to the idea chosen by him and Senior Brother Luo. They were both based on Professor Jaffe’s paper published in the Annual Journal of Mathematics. , to explain the existence of the mass gap by studying particles with mass m.
Lu Zhou: "What is there to regret about this?"
This situation is also very common.
In a minute or two, a twenty-page paper was printed on the paper.
"Don't you feel sorry?"
If he could sit on the sofa in the library or read it carefully at the desk in the study room, he would naturally prefer to print the paper on paper and read it. Firstly, it is convenient for taking some notes, and secondly, it is also convenient for him to jot down the inspiration that suddenly flashes in his mind.
Luo Wenxuan: "So he didn't prove it?"
Luo Wenxuan: "So he didn't prove it?"
"That's right, that's right. Is there any problem with that?"
Lu Zhou glanced at the screen in surprise and put down the coffee cup in his hand.
However, when it comes to how to study this particle with mass m, the two sides have different ideas.
Lu Zhou glanced at the screen in surprise and put down the coffee cup in his hand.
Although this situation is relatively rare in the world of mathematics, it is not uncommon in the world of physics. Especially in the field of theoretical physics, when it comes to research on some major propositions, even many senior professors like to post preprints first to prevent scholars in the same field from jumping in first.
"Are you sure you are claiming proof? Rather than providing a possible proof idea?"
The printer hums.
Seeing Lu Zhou's indifferent look, Luo Wenxuan opened his mouth and finally sighed.
After all, it is too difficult to achieve results in this field. Being a step slower than others may cause years of hard work to be wasted.
While printing the paper, Luo Wenxuan, who was staring at the paper on the screen, suddenly said something unexpectedly.
Proven
As soon as he heard what Lu Zhou said, Luo Wenxuan immediately raised his head and said with high spirits.
"What if he's right?"
Luo Wenxuan clicked the mouse twice: "The preprint has been released."
Regardless of the controversial aspects of the paper, at least in Lu Zhou's opinion, it is very imprecise.
Lu Zhou said with great interest: "Print a copy for me."
Although Lu Zhou occasionally browses documents on his mobile phone, this is always at inconvenient times.
Regardless of the controversial aspects of the paper, at least in Lu Zhou's opinion, it is very imprecise.
"Don't gloat about his misfortune. His paper still has merits, such as the part that discusses the existence of four-dimensional gauge fields based on the regularization of lattice points, and another example of the partial gauge invariant action given by Euclid on the torus. He has a well-defined path integral... Of course, he has many problems."
Hearing these words, Lu Zhou was stunned for a moment and looked at him strangely.
…
After listening to Senior Brother Luo finish reading his resume, Lu Zhou paused and continued to ask.
"For example, while he discussed this issue from the perspective of regularization of grid points, he did not prove the limit when the grid step size tends to zero. Therefore, the method of defining gauge-invariant actions in torus Euclid spacetime is not rigorous, or even it is wrong."
After all, the zero-mass problem of strong interactions cannot be solved simply by using the "symmetry breaking" method.
Lu Zhou said with great interest: "Print a copy for me."
"That's right, that's right. Is there any problem with that?"
And what surprised Lu Zhou the most was that the method used by Professor Brian Carlo was very similar to the idea chosen by him and Senior Brother Luo. They were both based on Professor Jaffe’s paper published in the Annual Journal of Mathematics. , to explain the existence of the mass gap by studying particles with mass m.
This situation is also very common.
…
At least the format has met the format requirements of general medium- and long-form journals, and the argument part of the text is relatively clear. It is not like those preprints that are just posted on the Internet for the sake of embarrassment. You can find a dozen of them at a glance. A loophole.
He originally thought that Professor Brian could make him see different things, but he didn't expect that he still made the same mistake that almost everyone makes.
And what surprised Lu Zhou the most was that the method used by Professor Brian Carlo was very similar to the idea chosen by him and Senior Brother Luo. They were both based on Professor Jaffe’s paper published in the Annual Journal of Mathematics. , to explain the existence of the mass gap by studying particles with mass m.
Luo Wenxuan gave him a strange look and said in disbelief.
At this point, Lu Zhou, who made another cup of coffee, blew it along the rim of the cup, took a sip, paused for a few seconds and continued, "But I'm not sure if it's because it's a preprint. Maybe He already thought of a good way to prove it, he just didn't post it here."
As soon as he heard what Lu Zhou said, Luo Wenxuan immediately raised his head and said with high spirits.
Luo Wenxuan clicked the mouse twice: "The preprint has been released."
Although this situation is relatively rare in the world of mathematics, it is not uncommon in the world of physics. Especially in the field of theoretical physics, when it comes to research on some major propositions, even many senior professors like to post preprints first to prevent scholars in the same field from jumping in first.
"Don't you feel sorry?"
Sure enough, you still have to rely on yourself to solve this problem.
"There's no particular reason, it's just that I like to read papers that are tangible."
After all, the zero-mass problem of strong interactions cannot be solved simply by using the "symmetry breaking" method.
Lu Zhou: "What is there to regret about this?"
"That's right, that's right. Is there any problem with that?"
However, when it comes to how to study this particle with mass m, the two sides have different ideas.
What Brian Carlo considered was not to introduce a quantum field corresponding to the classical action in the aforementioned problem - that is, the quantum Yang-Mills field to solve this problem. Instead, he adopted a method similar to Weinberg, by introducing A scalar field on the space-time manifold to solve this problem.
However, when it comes to how to study this particle with mass m, the two sides have different ideas.
Although Lu Zhou occasionally browses documents on his mobile phone, this is always at inconvenient times.
Luo Wenxuan made a helpless expression: "Please, we have been researching for such a long time, and now we are only just short of the last point but someone else has taken the lead. Don't you feel anything at all?"
Luo Wenxuan made a helpless expression: "Please, we have been researching for such a long time, and now we are only just short of the last point but someone else has taken the lead. Don't you feel anything at all?"
Lu Zhou glanced at the screen in surprise and put down the coffee cup in his hand.
After all, it is too difficult to achieve results in this field. Being a step slower than others may cause years of hard work to be wasted.
Lu Zhou said nonchalantly: "There's nothing to regret. No matter who solves this problem, it's the same to me."
"Has the paper been released as a preprint? Or is it just an abstract?"
Sure enough, you still have to rely on yourself to solve this problem.
At this point, Lu Zhou, who made another cup of coffee, blew it along the rim of the cup, took a sip, paused for a few seconds and continued, "But I'm not sure if it's because it's a preprint. Maybe He already thought of a good way to prove it, he just didn't post it here."
"Are you sure you are claiming proof? Rather than providing a possible proof idea?"
Lu Zhou said nonchalantly: "There's nothing to regret. No matter who solves this problem, it's the same to me."
After printing out the paper, Lu Zhou found a sofa in Senior Brother Luo's office and sat down. He quickly read through the main text based on the abstract of the paper.
After all, the zero-mass problem of strong interactions cannot be solved simply by using the "symmetry breaking" method.
"There's no particular reason, it's just that I like to read papers that are tangible."
Having won both the Fields Medal and the Nobel Prize, Lu Zhou actually doesn't have much pursuit of personal honors anymore. He studies these issues just because he wants to get an answer. If someone was inspired by his research and successfully solved the problem of mass gap, he would be more happy than solving the problem himself.
Although Lu Zhou occasionally browses documents on his mobile phone, this is always at inconvenient times.
"Yes... the author of the paper claims to have solved the mass gap problem of the Yang-Mills equation, and the claimant's background is not small," Luo Wenxuan continued in an unbelieving tone as his eyes swept over the author's information. "Brian Carlo, a professor at the University of Oxford, a fellow of the Royal Society and an academician of the European Academy of Sciences, has participated in research related to the discovery of the Higgs particle, and has won five honors including the Newton Medal from the British Physical Society... Incredible, he He’s sixty years old this year.”
Luo Wenxuan: "So he didn't prove it?"
Lu Zhou: "What is there to regret about this?"
Lu Zhou: "What is there to regret about this?"
Seeing Lu Zhou's indifferent look, Luo Wenxuan opened his mouth and finally sighed.
The printer hums.
Sure enough, you still have to rely on yourself to solve this problem.
However, when it comes to how to study this particle with mass m, the two sides have different ideas.
After listening to Senior Brother Luo finish reading his resume, Lu Zhou paused and continued to ask.
Luo Wenxuan made a helpless expression: "Please, we have been researching for such a long time, and now we are only just short of the last point but someone else has taken the lead. Don't you feel anything at all?"
Luo Wenxuan made a helpless expression: "Please, we have been researching for such a long time, and now we are only just short of the last point but someone else has taken the lead. Don't you feel anything at all?"
Hearing these words, Lu Zhou was stunned for a moment and looked at him strangely.
Luo Wenxuan gave him a strange look and said in disbelief.
"Okay... I haven't reached your level yet."
Hearing these words, Lu Zhou was stunned for a moment and looked at him strangely.
Regardless of the controversial aspects of the paper, at least in Lu Zhou's opinion, it is very imprecise.
…
"For example, while he discussed this issue from the perspective of regularization of grid points, he did not prove the limit when the grid step size tends to zero. Therefore, the method of defining gauge-invariant actions in torus Euclid spacetime is not rigorous, or even it is wrong."
Lu Zhou said casually: "There will be a day."
"Okay... I haven't reached your level yet."
"Don't you feel sorry?"
…
"So he's wrong?"
As soon as he heard what Lu Zhou said, Luo Wenxuan immediately raised his head and said with high spirits.
After all, the zero-mass problem of strong interactions cannot be solved simply by using the "symmetry breaking" method.
"Yes... the author of the paper claims to have solved the mass gap problem of the Yang-Mills equation, and the claimant's background is not small," Luo Wenxuan continued in an unbelieving tone as his eyes swept over the author's information. "Brian Carlo, a professor at the University of Oxford, a fellow of the Royal Society and an academician of the European Academy of Sciences, has participated in research related to the discovery of the Higgs particle, and has won five honors including the Newton Medal from the British Physical Society... Incredible, he He’s sixty years old this year.”
In a minute or two, a twenty-page paper was printed on the paper.
"Don't gloat about his misfortune. His paper still has merits, such as the part that discusses the existence of four-dimensional gauge fields based on the regularization of lattice points, and another example of the partial gauge invariant action given by Euclid on the torus. He has a well-defined path integral... Of course, he has many problems."
If he could sit on the sofa in the library or read it carefully at the desk in the study room, he would naturally prefer to print the paper on paper and read it. Firstly, it is convenient for taking some notes, and secondly, it is also convenient for him to jot down the inspiration that suddenly flashes in his mind.
As an unofficial preprint, judging from the thickness of the paper's content, this paper can be said to be written with more sincerity.
Overall, Professor Brian Carlo's abilities are pretty good, both in a mathematical and physical sense. Although there is still a certain gap between him and some of the top scholars he knows, at least his ability and reputation are consistent.
The printer hums.
Hearing these words, Lu Zhou was stunned for a moment and looked at him strangely.
"So he's wrong?"
However, perhaps because Lu Zhou didn't know much about theoretical physics, he had never heard of Professor Brian Carlo.
While printing the paper, Luo Wenxuan, who was staring at the paper on the screen, suddenly said something unexpectedly.
Lu Zhou: "What is there to regret about this?"
"Don't gloat about his misfortune. His paper still has merits, such as the part that discusses the existence of four-dimensional gauge fields based on the regularization of lattice points, and another example of the partial gauge invariant action given by Euclid on the torus. He has a well-defined path integral... Of course, he has many problems."
At least the format has met the format requirements of general medium- and long-form journals, and the argument part of the text is relatively clear. It is not like those preprints that are just posted on the Internet for the sake of embarrassment. You can find a dozen of them at a glance. A loophole.
However, perhaps because Lu Zhou didn't know much about theoretical physics, he had never heard of Professor Brian Carlo.
He originally thought that Professor Brian could make him see different things, but he didn't expect that he still made the same mistake that almost everyone makes.
However, when it comes to how to study this particle with mass m, the two sides have different ideas.
After printing out the paper, Lu Zhou found a sofa in Senior Brother Luo's office and sat down. He quickly read through the main text based on the abstract of the paper.
Having won both the Fields Medal and the Nobel Prize, Lu Zhou actually doesn't have much pursuit of personal honors anymore. He studies these issues just because he wants to get an answer. If someone was inspired by his research and successfully solved the problem of mass gap, he would be more happy than solving the problem himself.
After printing out the paper, Lu Zhou found a sofa in Senior Brother Luo's office and sat down. He quickly read through the main text based on the abstract of the paper.
In a minute or two, a twenty-page paper was printed on the paper.
At least the format has met the format requirements of general medium- and long-form journals, and the argument part of the text is relatively clear. It is not like those preprints that are just posted on the Internet for the sake of embarrassment. You can find a dozen of them at a glance. A loophole.
Overall, Professor Brian Carlo's abilities are pretty good, both in a mathematical and physical sense. Although there is still a certain gap between him and some of the top scholars he knows, at least his ability and reputation are consistent.
In a minute or two, a twenty-page paper was printed on the paper.
However, perhaps because Lu Zhou didn't know much about theoretical physics, he had never heard of Professor Brian Carlo.
Lu Zhou said casually: "There will be a day."
And what surprised Lu Zhou the most was that the method used by Professor Brian Carlo was very similar to the idea chosen by him and Senior Brother Luo. They were both based on Professor Jaffe’s paper published in the Annual Journal of Mathematics. , to explain the existence of the mass gap by studying particles with mass m.
After listening to Senior Brother Luo finish reading his resume, Lu Zhou paused and continued to ask.
"Don't gloat about his misfortune. His paper still has merits, such as the part that discusses the existence of four-dimensional gauge fields based on the regularization of lattice points, and another example of the partial gauge invariant action given by Euclid on the torus. He has a well-defined path integral... Of course, he has many problems."
Hearing these words, Lu Zhou was stunned for a moment and looked at him strangely.
And what surprised Lu Zhou the most was that the method used by Professor Brian Carlo was very similar to the idea chosen by him and Senior Brother Luo. They were both based on Professor Jaffe’s paper published in the Annual Journal of Mathematics. , to explain the existence of the mass gap by studying particles with mass m.
However, perhaps because Lu Zhou didn't know much about theoretical physics, he had never heard of Professor Brian Carlo.
"For example, while he discussed this issue from the perspective of regularization of grid points, he did not prove the limit when the grid step size tends to zero. Therefore, the method of defining gauge-invariant actions in torus Euclid spacetime is not rigorous, or even it is wrong."
"Are you sure you are claiming proof? Rather than providing a possible proof idea?"
"Don't gloat about his misfortune. His paper still has merits, such as the part that discusses the existence of four-dimensional gauge fields based on the regularization of lattice points, and another example of the partial gauge invariant action given by Euclid on the torus. He has a well-defined path integral... Of course, he has many problems."
However, when it comes to how to study this particle with mass m, the two sides have different ideas.
"For example, while he discussed this issue from the perspective of regularization of grid points, he did not prove the limit when the grid step size tends to zero. Therefore, the method of defining gauge-invariant actions in torus Euclid spacetime is not rigorous, or even it is wrong."
"There's no particular reason, it's just that I like to read papers that are tangible."
"What if he's right?"
What Brian Carlo considered was not to introduce a quantum field corresponding to the classical action in the aforementioned problem - that is, the quantum Yang-Mills field to solve this problem. Instead, he adopted a method similar to Weinberg, by introducing A scalar field on the space-time manifold to solve this problem.
Luo Wenxuan clicked the mouse twice: "The preprint has been released."
After all, the zero-mass problem of strong interactions cannot be solved simply by using the "symmetry breaking" method.
Seeing Lu Zhou's indifferent look, Luo Wenxuan opened his mouth and finally sighed.
Lu Zhou said casually: "There will be a day."
Seeing Lu Zhou's indifferent look, Luo Wenxuan opened his mouth and finally sighed.
Regardless of the controversial aspects of the paper, at least in Lu Zhou's opinion, it is very imprecise.
"There's no particular reason, it's just that I like to read papers that are tangible."
Regardless of the controversial aspects of the paper, at least in Lu Zhou's opinion, it is very imprecise.
Luo Wenxuan made a helpless expression: "Please, we have been researching for such a long time, and now we are only just short of the last point but someone else has taken the lead. Don't you feel anything at all?"
After all, the zero-mass problem of strong interactions cannot be solved simply by using the "symmetry breaking" method.
What Brian Carlo considered was not to introduce a quantum field corresponding to the classical action in the aforementioned problem - that is, the quantum Yang-Mills field to solve this problem. Instead, he adopted a method similar to Weinberg, by introducing A scalar field on the space-time manifold to solve this problem.
"So he's wrong?"
"His proof was very close to the truth, but in the end he missed the finish line." Putting down the paper in his hand, Lu Zhou touched the coffee at hand, only to find that the cup was cold, so he stood up and walked to the water dispenser Next to it, prepare to make another cup.
"There's no particular reason, it's just that I like to read papers that are tangible."
Luo Wenxuan: "For example?"
Lu Zhou said casually: "There will be a day."
As soon as he heard what Lu Zhou said, Luo Wenxuan immediately raised his head and said with high spirits.
Although Lu Zhou occasionally browses documents on his mobile phone, this is always at inconvenient times.
Lu Zhou said nonchalantly: "There's nothing to regret. No matter who solves this problem, it's the same to me."
The printer hums.
"So he's wrong?"
And what surprised Lu Zhou the most was that the method used by Professor Brian Carlo was very similar to the idea chosen by him and Senior Brother Luo. They were both based on Professor Jaffe’s paper published in the Annual Journal of Mathematics. , to explain the existence of the mass gap by studying particles with mass m.
Lu Zhou said with great interest: "Print a copy for me."
"Has the paper been released as a preprint? Or is it just an abstract?"
"Don't gloat about his misfortune. His paper still has merits, such as the part that discusses the existence of four-dimensional gauge fields based on the regularization of lattice points, and another example of the partial gauge invariant action given by Euclid on the torus. He has a well-defined path integral... Of course, he has many problems."
Overall, Professor Brian Carlo's abilities are pretty good, both in a mathematical and physical sense. Although there is still a certain gap between him and some of the top scholars he knows, at least his ability and reputation are consistent.
Luo Wenxuan gave him a strange look and said in disbelief.
Lu Zhou: "What is there to regret about this?"
Hearing these words, Lu Zhou was stunned for a moment and looked at him strangely.
Luo Wenxuan clicked the mouse twice: "The preprint has been released."
"His proof was very close to the truth, but in the end he missed the finish line." Putting down the paper in his hand, Lu Zhou touched the coffee at hand, only to find that the cup was cold, so he stood up and walked to the water dispenser Next to it, prepare to make another cup.
Luo Wenxuan: "For example?"
Luo Wenxuan: "So he didn't prove it?"
Regardless of the controversial aspects of the paper, at least in Lu Zhou's opinion, it is very imprecise.
"Has the paper been released as a preprint? Or is it just an abstract?"
However, perhaps because Lu Zhou didn't know much about theoretical physics, he had never heard of Professor Brian Carlo.
Lu Zhou said casually: "There will be a day."
Luo Wenxuan gave him a strange look and said in disbelief.
"Are you sure you are claiming proof? Rather than providing a possible proof idea?"
As an unofficial preprint, judging from the thickness of the paper's content, this paper can be said to be written with more sincerity.
"For example, while he discussed this issue from the perspective of regularization of grid points, he did not prove the limit when the grid step size tends to zero. Therefore, the method of defining gauge-invariant actions in torus Euclid spacetime is not rigorous, or even it is wrong."
Lu Zhou: "What is there to regret about this?"
What Brian Carlo considered was not to introduce a quantum field corresponding to the classical action in the aforementioned problem - that is, the quantum Yang-Mills field to solve this problem. Instead, he adopted a method similar to Weinberg, by introducing A scalar field on the space-time manifold to solve this problem.
Regardless of the controversial aspects of the paper, at least in Lu Zhou's opinion, it is very imprecise.
Luo Wenxuan: "For example?"
At this point, Lu Zhou, who made another cup of coffee, blew it along the rim of the cup, took a sip, paused for a few seconds and continued, "But I'm not sure if it's because it's a preprint. Maybe He already thought of a good way to prove it, he just didn't post it here."
Overall, Professor Brian Carlo's abilities are pretty good, both in a mathematical and physical sense. Although there is still a certain gap between him and some of the top scholars he knows, at least his ability and reputation are consistent.
However, perhaps because Lu Zhou didn't know much about theoretical physics, he had never heard of Professor Brian Carlo.
"Yes... the author of the paper claims to have solved the mass gap problem of the Yang-Mills equation, and the claimant's background is not small," Luo Wenxuan continued in an unbelieving tone as his eyes swept over the author's information. "Brian Carlo, a professor at the University of Oxford, a fellow of the Royal Society and an academician of the European Academy of Sciences, has participated in research related to the discovery of the Higgs particle, and has won five honors including the Newton Medal from the British Physical Society... Incredible, he He’s sixty years old this year.”
"Okay... I haven't reached your level yet."
"His proof was very close to the truth, but in the end he missed the finish line." Putting down the paper in his hand, Lu Zhou touched the coffee at hand, only to find that the cup was cold, so he stood up and walked to the water dispenser Next to it, prepare to make another cup.
At this point, Lu Zhou, who made another cup of coffee, blew it along the rim of the cup, took a sip, paused for a few seconds and continued, "But I'm not sure if it's because it's a preprint. Maybe He already thought of a good way to prove it, he just didn't post it here."
This situation is also very common.
"Don't gloat about his misfortune. His paper still has merits, such as the part that discusses the existence of four-dimensional gauge fields based on the regularization of lattice points, and another example of the partial gauge invariant action given by Euclid on the torus. He has a well-defined path integral... Of course, he has many problems."
This situation is also very common.
"So he's wrong?"
After all, many high-quality papers on Arxiv have been improved through constant discussion and revision.
"Okay... I haven't reached your level yet."
After all, many high-quality papers on Arxiv have been improved through constant discussion and revision.
And what surprised Lu Zhou the most was that the method used by Professor Brian Carlo was very similar to the idea chosen by him and Senior Brother Luo. They were both based on Professor Jaffe’s paper published in the Annual Journal of Mathematics. , to explain the existence of the mass gap by studying particles with mass m.
After all, many high-quality papers on Arxiv have been improved through constant discussion and revision.
"Don't gloat about his misfortune. His paper still has merits, such as the part that discusses the existence of four-dimensional gauge fields based on the regularization of lattice points, and another example of the partial gauge invariant action given by Euclid on the torus. He has a well-defined path integral... Of course, he has many problems."
At this point, Lu Zhou, who made another cup of coffee, blew it along the rim of the cup, took a sip, paused for a few seconds and continued, "But I'm not sure if it's because it's a preprint. Maybe He already thought of a good way to prove it, he just didn't post it here."
After listening to Senior Brother Luo finish reading his resume, Lu Zhou paused and continued to ask.
"What if he's right?"
After printing out the paper, Lu Zhou found a sofa in Senior Brother Luo's office and sat down. He quickly read through the main text based on the abstract of the paper.
Luo Wenxuan: "So he didn't prove it?"
What Brian Carlo considered was not to introduce a quantum field corresponding to the classical action in the aforementioned problem - that is, the quantum Yang-Mills field to solve this problem. Instead, he adopted a method similar to Weinberg, by introducing A scalar field on the space-time manifold to solve this problem.
…
Lu Zhou said with great interest: "Print a copy for me."
Although Lu Zhou occasionally browses documents on his mobile phone, this is always at inconvenient times.
Although this situation is relatively rare in the world of mathematics, it is not uncommon in the world of physics. Especially in the field of theoretical physics, when it comes to research on some major propositions, even many senior professors like to post preprints first to prevent scholars in the same field from jumping in first.
Lu Zhou said nonchalantly: "There's nothing to regret. No matter who solves this problem, it's the same to me."
While printing the paper, Luo Wenxuan, who was staring at the paper on the screen, suddenly said something unexpectedly.
Lu Zhou said with great interest: "Print a copy for me."
"That's what it looks like so far. No matter what others think, at least in my opinion, he didn't succeed." At this point, Lu Zhou sighed, his tone slightly disappointed.
"So he's wrong?"
Luo Wenxuan gave him a strange look and said in disbelief.
He originally thought that Professor Brian could make him see different things, but he didn't expect that he still made the same mistake that almost everyone makes.
As an unofficial preprint, judging from the thickness of the paper's content, this paper can be said to be written with more sincerity.
In a minute or two, a twenty-page paper was printed on the paper.
What Brian Carlo considered was not to introduce a quantum field corresponding to the classical action in the aforementioned problem - that is, the quantum Yang-Mills field to solve this problem. Instead, he adopted a method similar to Weinberg, by introducing A scalar field on the space-time manifold to solve this problem.
"Don't you feel sorry?"
In a minute or two, a twenty-page paper was printed on the paper.
If he could sit on the sofa in the library or read it carefully at the desk in the study room, he would naturally prefer to print the paper on paper and read it. Firstly, it is convenient for taking some notes, and secondly, it is also convenient for him to jot down the inspiration that suddenly flashes in his mind.
Sure enough, you still have to rely on yourself to solve this problem.
As an unofficial preprint, judging from the thickness of the paper's content, this paper can be said to be written with more sincerity.
"Okay... Speaking of which, I never understand why you like to type your papers on paper. Aren't e-readers very convenient nowadays?"
At least the format has met the format requirements of general medium- and long-form journals, and the argument part of the text is relatively clear. It is not like those preprints that are just posted on the Internet for the sake of embarrassment. You can find a dozen of them at a glance. A loophole.