The mathematics circles has a very famous piece, is used to tease Physics, what said was how Physics to utilize the experiment to prove „odd number was the prime number”. 数学界有个很有名的段子,是用来调侃物理学家的,讲的是物理学家是如何运用实验证明“奇数都是素数的”。 …… …… First starts to test, 1 does not use the certificate according to the definition ; 3 rd, prime number ; 5 th, prime number ; 7 th, prime number ; 9 th, the error, 11 are the prime numbers, 13 are the prime number...... 首先开始实验,一根据定义不用证明,三是素数,五是素数,七是素数,九是误差,11是素数,13是素数…… ok, the experiment does were many enough, the odd number is the prime number, perfect! ok,实验做的够多了,奇数都是素数,完美！ Then, several years later will upgrade the test installation, finally can confirm over hundred numbers, discovered „experimental error” the statistics confidence surpassed the threshold value finally, cannot explain with the experimental error, therefore gets the patch this theory, redefines hundred figure above physics. 然后,过几年更新了实验设备,终于能验证百位以上的数字,发现“实验误差”的统计学置信度终于超过了阈值,再也不能用实验误差去解释,于是又把这个理论打上补丁,重新定义百位数以上的物理。 Sounds, this seems a bit like the theory of relativity evolution history. 听起来,这似乎有点像相对论的进化史。 But in fact, the theory Physics essence, is such shortage math aesthetic sense thing. 但事实上,理论物理学的本质,就是这么一种欠缺数学美感的东西。 position that the 750 gev characteristics absorption is, is similar „nines in odd number” probably, when it repeats to appear repeatedly, then it is „sign”, even is „discovery”. But when it vanishes suddenly, then it turned into the error. 750gev的特征峰所处在的位置,大概就类似于“奇数中的九”,当它重复出现多次,那它就是“迹象”,甚至是“发现”。可当它突然消失,那么它变成了误差。 It is a pity that even if the hadron collider after promotion, the work that can achieve is also similar to „retrieves hundred figure following odd numbers”. 很遗憾的是,哪怕是升级之后的强子对撞机,所能做到的工作也只是类似于“检索百位数以下的奇数”而已。 In final of meeting, Professor Frank dismissed the topic-based group. 在会面的最后,弗兰克教授解散了课题组。 But the harvest of Lu Zhou, merely is two with Professor Frank as well as his postgraduate candidate together signature the Journal paper. 而陆舟的收获,仅仅是两篇和弗兰克教授以及他的博士生共同署名的期刊论文。 To him, this absolutely is a bad news. 对于他来说,这绝对是个坏消息。 However, Lu Zhou has not planned to give up. 不过,陆舟并没有打算就此放弃。 Even Professor Frank chose giving up, he will still continue this topic. 即便弗兰克教授选择了放弃,他也会将这个课题继续下去。 The math is the language of God, Lu Zhou, although does not believe in God, but actually believes that the math will not deceive people. 数学是上帝的语言,陆舟虽然不信上帝,但却相信数学是不会骗人的。 He through the rigorous computation, forecast the emergence of characteristics absorption, although does not know why it vanished therefore, but he does not believe absolutely there anything did not exist. 他通过严谨的计算,预测到了特征峰的出现,虽然不知它因何故而消失,但他绝对不相信那里什么也不存在。 Otherwise, how to explain the error of atlas and on the ms detector simultaneously having? 否则,如何解释atlas和ms探测器上同时出现的误差？ Is the quantum effect? 仅仅是量子涨落而已？ That these two detector observed fluctuations, rather also were too simultaneously big. 那同时这两个探测器观测到的涨落,未免也太大了点。 The plan played in New York for two days, because of this matter, Lu Zhou was not in no mood. 原本打算在纽约玩两天的,但因为这件事情,陆舟也没了心情。 In the afternoon, he then drove to return to Princeton from New York. 当天下午,他便开车从纽约返回了普林斯顿。 When he returns to the apartment, is in the evening, happen to meets just ran late return Morina. At this moment, she is wearing a black gym suit, golden tips of the hair was been moist by the sweat, is emitting and usual solemn elegant entirely different charm. 当他返回公寓的时候,已经是晚上,正好碰见了刚刚晚跑归来的莫丽娜。此时此刻,她正穿着一件黑色运动衣,金色的发梢被汗水湿润着,散发着和平时的端庄典雅截然不同的魅力。 The line of sight has swept from the face of Lu Zhou, as if looks at anything, Morina with ridiculing the tone teased. 视线从陆舟的脸上扫过,似乎看出来些什么,莫丽娜用揶揄的口吻调侃道。 „Can look, your mood is not very good.” “看得出来,你心情不是很好。” „Yes.” “是的。” The Morina eyebrow selected selecting, the smiling face somewhat took pleasure in others' misfortunes: „Was flung?” 莫丽娜眉毛挑了挑,笑容有些幸灾乐祸:“被甩了？” „Is.” “算是吧。” Lu Zhou was perfunctory replied, pulled out the key to open the door, went back in own room. 陆舟敷衍地回答了一句,掏出钥匙开门,回去了自己的屋里。 Morina looks at his back, looks door that closes, crossed good long while, muttered low voice the sentence. 莫丽娜愣愣地看着他的背影,看着关上的门,过了好半天,才小声喃喃自语了句。 „Also was really is flung......” “还真是被甩了……” ...... …… Unearths the 750 gev characteristics absorption to need the hadron collider, a need brightness higher detector, needs many lots...... 挖掘750gev的特征峰需要强子对撞机,需要亮度更高的探测器,需要很多很多东西…… He can adopt the computation to forecast the emergence of characteristics absorption, but is actually not able to prove existence of some granule through the pure computation. He can do merely is unceasingly the perfect physical model, then waits for ern to confirm his theory. 他可以通过计算预测出特征峰的出现,但却无法通过单纯的计算证明某个粒子的存在。他所能做的仅仅是不断完善物理模型,然后等待ern验证他的理论。 But it is a pity that as if most people had lost the confidence to 750 this digits. 但遗憾的是,似乎大多数人都已经对750这个数字失去了信心。 Just like Morina said that he „was flung”, the physics threw him in one side. 正如莫丽娜说的,他“被甩了”,物理将他抛在了一边。 Lu Zhou this little while has not thought that what better way, can only seek the comfort in the bosom of math. 陆舟这会儿也没想到什么更好的办法,只能在数学的怀抱中寻求安慰。 At least, the improvement of group construction law has been conducted the last step, perhaps this temporary depressed can change to the power, helping him seek to collect the last puzzle on Tu Longbao blade. 至少,群构法的完善已经进行到了最后一步,或许这份暂时的沮丧能化作动力,帮他寻找到凑齐屠龙宝刀上的最后一块拼图。 Goes to the bathroom to take a bath, Lu Zhou then went to sleep early. 去浴室洗了个澡,陆舟早早便睡下了。 Next day an early bed, he hit the spirit, brings the printed lecture that prints from online downloading, went to the math department building. 第二天起了个早床,他重新打起了精神,带着从网上下载打印出来的讲义,去了数学系大楼。 In all constructions in Princeton University, the building of math department is the highest construction, symbolizes math department's position here to be unusual. 在普林斯顿大学的所有建筑中,数学系的大楼是最高的建筑,同时也象征着数学系在这里的地位超凡脱俗。 However, arrived here Lu Zhou, what listened is not the abstruse course, but is one to the primary theory of numbers of undergraduate student. 不过,来到这里的陆舟,听的并不是什么深奥的讲座,只不过是一堂面向本科生的初等数论。 As for as he of Kohl theory of numbers prize winner, why must sit spends the time to listen to these foundations here the things, probably because he lay when the bed yesterday evening, suddenly recalled, in Jinling University Library studies by oneself, leisure has read a book. 至于身为柯尔数论奖得主的他,为什么要坐在这里花时间去听这些基础的东西,盖因昨天晚上他躺在床上时,突然回想起在金陵大学图书馆自习时,闲暇之余看过的一本书。 That book is Venerable Yang Zhenning autobiography, including entire chapters, about one generation of Grandmaster fermi recollections. 那本书是杨振泞老先生的自传,其中有一整章,是关于一代大师费米的回忆。 Mentioned in his autobiography, the fermi once advised him in Institute for Advanced Study do not treat is too long, because of there like monastery. 在他的自传中提到,费米曾劝告他不要在普林斯顿高等研究院待太久,因为那里就像修道院。 But Venerable Yang, to the fermi biggest impression, is he likes exchanging with the student very much, not only craves in teaching, even personally organization discussion class, even has therefore carried over six Nobel prizes. 而杨老先生本人,对费米最大的印象,便是他很喜欢与学生交流,不但热衷于讲课,甚至亲自组织讨论班,甚至因此带出过六个诺贝尔奖。 And, he mentioned more than once, after his ideal program is the retirement, arrives at an eastern US small ivy school to teach the physics, writes a book, contains in Physics all difficulties, but these difficulties were covered frequently by such as „well-known” such words and expressions. 并且,他不止一次提到,他的理想计划是退休以后到美国东部一个小的常春藤学院教物理,写一本书,其中包含物理学中所有的难点,而这些难点常常被诸如“众所周知”这样的词语掩盖过去。 From Vera's letter, Lu Zhou comprehends suddenly, oneself when study diligently the Goldbach's conjecture, neglected some „it is well known” thing. 从薇拉的信件中,陆舟忽然领悟到的,自己在钻研哥德巴赫猜想的时候,忽视了一些“众所周知”的东西。 Herve Gott's paper has very big instructive, but his unevenness was too strong. Although regarding Lu Zhou, these jumped over thing is „obviously”, but many details omitted in these „obviously”. 赫尔夫戈特的论文具有很大的启发性,但其本身的跳跃性太强了。虽然对于陆舟而言,那些被跳过的东西都是“显然”的,但很多细节正是遗漏在了这些“显然”中。 The abstraction should after the careful work, but before not solving it. 抽象化应该在细致的工作之后,但决不是在解决它之前。 Lu Zhou hopes that through recalling some basic things, is far away from the too long thing to pick from these to carefully examine newly, said that does not permit to oneself to bring some inspirations. 陆舟希望通过回忆一些基本的东西,将那些自己远离太久的东西捡起来从新审视,说不准能给自己带来一些启发。 Entered the classroom from the back door quietly, Lu Zhou had not brought to anybody's attention, looked for a vacancy to sit down in the last row of classroom. 静悄悄地从后门走进了教室,陆舟没有引起任何人的注意,在教室的最后一排找了个空位坐下。 The professor of teaching is current mathematical department head Charl Sfez Fowman in the legend 12 years old completes slightly General points, 20 years old have gotten Princeton doctor, external general super talent that 22 years old teach the University of Chicago ordinary professor. 讲课的教授是现任数学系主任查尔斯费佛曼传说中12岁学完微积分,20岁已经拿到了普林斯顿博士,22岁任教芝加哥大学正教授的外挂一般的超级天才。 Charles looked up a classroom, the line of sight stayed for two seconds on the face of Lu Zhou, obviously recognized him, but has not said anything, but was such as was the same in the past, blackboard writing in blank slate, while used his leisure sound teaching. 查尔斯抬头看了眼教室,视线在陆舟的脸上停留了两秒,显然是认出了他,但并没有说什么,而是如往常一样,一边在白板上板书,一边用他那慢条斯理的声音讲课。 Princeton level high, not only the classroom, the student is also the big god pours forth, here is gathering the powerhouse of imo competition, as well as talents from US and even world. 普林斯顿水平高的不只是教室,学生也是大神辈出,这里聚集着imo竞赛的强者,以及来自全美乃至世界各地的天才。 Teaches to these talents, obviously is not good to deceive like general university teaching. 给这些天才们讲课,显然不像一般大学讲课那么好糊弄。 Especially passes through the habitual criminal careless professor regarding these. 尤其是对于那些经常犯马虎的教授。 Talked about the proof of prime number theorem, is turning away from Charles of classroom, just wrote down the 20 th line of mathematical formulas, in the classroom then some people raised hand. 讲到了素数定理的证明,背对着教室的查尔斯,刚刚写下第二十行算式,教室里便有人举手。 „Professor, the value of PHI (s ) function should be 2, rather than 3!” “教授,Φ(s)函数的值应该是二,而不是三！” Obviously, some people have prepared a lesson various certificates of prime number theorem. 显然,有人已经预习过了素数定理的各种证明。 Charles turns around, smiles calmly, as if confidently, said leisurely: „What you said is right, but do you believe that even if I made a mistake in writing this step, I can still draw the similar conclusion.” 查尔斯转过身来,心平气和地笑了笑,似乎胸有成竹,慢条斯理地说道:“你说的是对的,但你信不信,即便我写错了这一步,我依然能得出同样的结论。” That student was shocked, in the classroom also resounded talked in whispers intermittently. 那位学生愣住了,教室里也响起了阵阵窃窃私语。 From the sound of that low voice discussion, Lu Zhou then can feel unbelievable of these students. 从那小声讨论的声音中,陆舟便能感觉到这些学生们的难以置信。 Not only these students, Lu Zhou also a little this feeling. 不只是这些学生,陆舟自己也有点这种感觉。 He to calculating rigorous making excessive demands is highest, even if sometimes the mentality entered the impasse, will certainly not make a mistake in the computation. 他对计算严谨的苛求是最高的,哪怕有时候思路走进了死胡同,也一定不会在计算上出错。 However Lu Zhou has not spoken, but waited for this professor to finish all processes. 不过陆舟没有吭声,而是等待着这位教授把所有过程写完。 Charles did not speak, turns around, turns away from the classroom to continue the blackboard writing. 查尔斯也不说话,转过身去,背对着教室继续板书。 15 minutes pass by, when he wrote down the last line of mathematical formulas, everyone in classroom was shocked. 十五分钟过去,当他写下了最后一行算式的时候,教室里的所有人都愣住了。 Especially that stands to point out that the wrong student, the whole face suspects the life the expression. 尤其是那个站起来指出错误的学生,满脸都是怀疑人生的表情。 That mistake obviously in swayed there, but finally...... 那个错误明明就在摆在那里,可最终…… Also was really given to calculate by him! 还真被他给算出来了！ „The proof method of prime number theorem, I have studied, then has over ten types probably. To computation rigorous is important, but when we conduct the exploration to the frontier, what is more important is self consistent method logically, this point, not only the foundation of math, but is all scientific foundations. Why can draw the similar conclusion as for me, because I after trying many methods, discovery many methods are actually reaching the same goal or conclusion from different approaches......” “素数定理的证明方法,就我自己研究过的,大概便有十种以上。对计算的严谨非常重要,但当我们对前沿领域进行探索的时候,更重要的是逻辑上的自洽,这一点不只是数学的基础,而是所有科学的基础。至于为什么我能得出同样的结论,因为我在尝试过许多方法之后,发现很多方法其实是殊途同归的……” Saying, Charles smiles, wiped off behind that PHI (s ) equal sign that 3 gently, changed to 2 to continue to say it, „naturally, this was only I to the wrong paradox. What our Schoolmate Smith said is right, here computed result truly is 2. But 2 is 3, satisfies us through the sector of function Zeta ( x ) definition.” 说着,查尔斯笑了笑,轻轻擦掉了那个Φ(s)等号后面的那个三,将它改成了二继续说道,“当然,这只是我对错误的诡辩。我们的史密斯同学说的是对的,这里的计算结果确实是二。只不过无论是二还是三,都满足我们通过函数ζ(x)定义的区间。” Clearly, this professor had arrived regarding familiar of process the degree of understanding clearly in heart. 很明显,这位教授对于过程的熟悉已经到了了然于心的程度。 Lu Zhou even suspected, he makes a mistake in writing intentionally, seeks happily with these small rookie. 陆舟甚至怀疑,他是故意写错的,拿这些小菜鸟们寻开心。 Naturally, point that is worth paying attention to not here. 当然,值得关注的点并不在这里。 „Reaches the same goal or conclusion from different approaches......” “殊途同归吗……” Chews these words repeatedly, Lu Zhou is being lost in thought. 反复嘴嚼着这句话,陆舟陷入了沉思。 Gradually, his eye bright. 渐渐地,他的眼睛明亮了起来。 Indistinct, Lu Zhou feels suddenly. 隐隐约约之中,陆舟忽然感觉到。 That puzzle that he seeks, has grasped in his hand...... 他寻找的那块拼图,已经握在了他的手中……