About the proof line, Lu Zhou and Professor Fefferman reached the agreement, how however to construct this abstract bilinear operator b'que to become a very serious issue. 关于证明思路上,陆舟和费弗曼教授达成了共识,然而如何构造这个抽象的双线性算子b'却成了一个很严肃的问题。 It must have similar non-linear structure with ( t ) Central Europe back guy operator B, but it distinguishes between B. 它必须与(t)中欧拉线性算子b具有类似的非线性结构,但同时它又区别于b。 But in the partial differential equation, „non-linearity” then means complex. 而在偏微分方程中,“非线性”便意味着复杂。 A series of issues that is derived by it, is the complex eminent...... 由它衍生出来的一系列问题,更是复杂中的翘楚…… At the first symposium of March, some Institute for Advanced Study small-scale conference room. 3月份的第一次讨论会上,普林斯顿高等研究院某间小型会议室。 Looks at the mathematical formula on blackboard, Professor Fefferman said looking pensive. 看着黑板上的算式,费弗曼教授若有所思地说道。 „I can believe firmly, we left the final result to be very near, bad a little.” “我可以确信,我们离最终的结果已经很近了,就差那么一点。” Threw chalk on the teacher's desk, retroceded two steps Lu Zhou to stare at the blackboard, nods. 将粉笔头扔在了讲桌上,后退两步的陆舟盯着黑板,点了点头。 However, although nods, but on his face does not have the half a point to be joyful, because instead the present mathematical formula is serious. 然而,虽说是点头,但他脸上却是没有半分喜悦,反而因为眼前的算式面色凝重。 Crossed some little time, Lu Zhou opens the mouth to say. 过了好一会儿,陆舟开口道。 „...... I am also this feeling.” “……我也是这种感觉。” Professor Fefferman sighed, puts down was holding both arms. 费弗曼教授叹了口气,放下了抱着的双臂。 „Sometimes is defeated and succeeds the distance only miss a little, do you know? I even start to suspect now......” “有时候失败和成功之间的距离就只差那么一点,你知道吗？我现在甚至开始怀疑……” Lu Zhou threw the line of sight of inquiry to him. 陆舟向他投去了询问的视线。 „Suspicion?” “怀疑？” Professor Fefferman nods: „Although we think from the beginning optimistically the proposition is certainly correct, but more and more results told us, it possibly not like we imagined perfect.” 费弗曼教授点了点头:“虽然我们一开始乐观的认为命题一定正确,但越来越多的结果告诉我们,它可能并不像我们想象中的那样完美。” Said this saying time, the tone of Professor Fefferman filled was indefinite, did not have in the classroom faced the student, that type calm along with nature. 说这话的时候,费弗曼教授的语气充满了不确定,丝毫没有了在课堂上面对学生时,那种波澜不惊的随性。 So many years, this is his first time, shows the so indefinite expression to the mathematical formula that oneself write down. 这么多年了,这还是他第一次,对自己写下的算式露出如此不确定的表情。 Is staring at the blackboard seriously, silent some little time, Lu Zhou opens the mouth difficultly. 面色凝重地盯着黑板,沉默了好一会儿,陆舟才艰难地开口。 „This was too absurd.” “这太荒谬了。” Professor Fefferman sighed: „Yes, this was too absurd, but...... it does not have the truth.” 费弗曼教授叹了口气:“是的,这太荒谬了,但是……它也并非毫无道理。” Saying, he fished out a cigarette and cigarette lighter from the pocket. 说着,他从兜里摸出了一支香烟和打火机。 In principle, in the conference room cannot smoke, smoking room that addiction for tobacco must go to formulate. 原则上,会议室内是不能抽烟的,烟瘾者必须前往制定的吸烟室。 But if to study the words, can actually disregard this rule. 但如果是为了研究的话,却可以无视这条规则。 After all this higher research institute establishes for the science, here all rules to serve in science, to let scholar more convenient research science. 毕竟这座高等研究院就是为科学而建立的,在这里所有一切的规则都是为了服务于科学,为了让学者更方便的研究科学。 Nothing hesitant, Professor Fefferman lit the cigarette, then set up it cautiously on the multimedia teacher's desks. 没有任何犹豫,费弗曼教授点燃了香烟,然后小心翼翼地将它立在了多媒体讲桌上。 The indistinct smog screw rises. 飘渺的烟雾螺旋上升。 Underwent the short winding and entanglement, the column of smoke of that enlargement disseminates gradually finally in in the air, does not leave a wee bit traces. 经过了短暂的缠绕与纠缠,那渐渐放大的烟柱最终弥散在空中,不留下一丁点儿痕迹。 Is staring at this natural phenomenon, Professor Fefferman as if to convince oneself is the same, with thinking aloud the general sound said. 凝视着这理所当然的现象,费弗曼教授仿佛是为了说服自己一样,用自言自语一般的声音说道。 The systematic final home to return to that „all can be forecast is the chaos, like our equations. With DELTA value of time demolition, in some sense agreed with exactly this universe truth. When the time variable was enlarged, our equations in some unknown singular point explosion, it no longer smooth......” “一切可以被预测的系统最终的归宿都是混沌,就像我们的方程一样。随着时间项爆破的Δ值,从某种意义上恰好契合了这个宇宙的真理。当时间变量被放大,我们的方程将在某一个未知的奇点爆炸,它将不再光滑……” This special point is not infinity, but it as if actually exists. 这个特殊的点并非无穷大,但它似乎却是存在的。 Is hard to solve its value in the existing mathematics method, cannot find way out like mathematicians the solution to ns equation. However through the method of indirect proof, can actually show that it truly exists......, if showed that the process does not have the mistake. 以现有的数学方法难以对它的值进行求解,就像数学家们对ns方程的解一筹莫展一样。然而通过间接证明的方法,却可以证明它确实存在着……如果证明过程没有错误的话。 At this point, Professor Fefferman no longer spoke, but smokes the smoke silent, one after another is pulling out. 说到这里,费弗曼教授不再说话,而是沉默地抽起了烟,一支接一支地抽着。 Lu Zhou is certain, this absolutely not for science, but one type to mediate in heart agitated vent. 陆舟可以肯定,这绝对不是为了科学,只是一种为了排解心中烦躁的发泄。 He acknowledged, this is a matter that made one be hard to accept. 他承认,这是一个令人难以接受的事情。 The result of computation is obvious, but actually departs with the well-known general knowledge. 计算的结果已经昭然若揭,但却与众所周知的常识背离。 Automobile of won't a travel on highway, have the omen self- disintegration at some specific time point? This obviously is impossible, even the worst worst case scenario, still merely is only a traffic ticket from traffic police. 一辆行驶在高速公路上的汽车,会在某个特定的时间点毫无预兆地自我解体吗？这显然是不可能的,即便是最坏最坏的情况,也仅仅只是一张来自交警的罚单。 If their conclusions are correct, then the three dimensional below ns equation will have „demolition” at some point without a doubt. 如果他们的结论是正确的话,那么三维下的ns方程毫无疑问将在某一个点发生“爆破”。 But this also means, in this time or the space point, it no longer may have the regularity...... 而这也就意味着,在这个时间或空间的点上,它可能将不再具有正则性…… This was too absurd! 这太荒谬了！ ...... …… the research of ns equation fell into the unexpected bottleneck. ns方程的研究陷入了意料之外的瓶颈。 In the evening, restored beforehand rhythm of life Lu Zhou, changed the gym suit, jogs along Carnegie Lake, attempts through the way of breath fresh air, relaxes. 晚上,恢复了以前生活节奏的陆舟,换上了运动服,沿着卡内基湖慢跑,试图通过呼吸新鲜空气的方式,放松心情。 However it is a pity that he cannot achieve wishes. 然而遗憾的是,他并没能如愿。 In the afternoon with that issue that Professor Fefferman discussed that could hardly be removed in his mind as before. 下午与费弗曼教授讨论的那个问题,依旧在他的脑海中挥之不去。 The speed of jogging is getting more and more fast, unknowingly, Lu Zhou then sprinted. 跑步的速度越来越快,不知不觉中,陆舟便冲刺了起来。 Until exhausted the complete physical strength, the both legs started to fill the lead same heaviness probably, he stopped gradually. 直到耗尽了全部的体力,双腿开始像是灌了铅一样的沉重,他才渐渐地停了下来。 Is puffing, Lu Zhou arrived at the lawn of lakeside, somewhat took off/escaped the strength to sit on the ground. 喘着粗气,陆舟走到了湖边的草坪,有些脱力地坐在了地上。 At this moment, one can of sports beverages lost from side, pounds in the soft lawn, rolled him on hand. 就在这时,一罐运动饮料从旁边丢了过来,砸在松软的草坪上,滚到了他的手边。 Lu Zhou looks up, sees only Morina of wear gym suit to stand not far, in the hand is carrying another can of same drink, greets to him with the look. 陆舟抬头看去,只见穿着一身运动服的莫丽娜正站在旁边不远,手上正拎着另一罐同样的饮料,用眼神向他打了个招呼。 „Delivers you.” “送你的。” Listened to her saying that Lu Zhou was impolite, opens the can, raised head filled one fiercely. 听她都这么说了,陆舟也不客气,拉开易拉罐,仰头猛灌了一口。 Grows carefree exhales, feels the icy coldness that chest is proliferating, he lifted the hand to wipe a mouth. 畅快地长出了一口气,感受着那胸口扩散开的冰凉,他抬起手抹了把嘴。 „Thanks.” “谢谢。” „Is impolite.” “不客气。” Sits down in side, Morina opened own that can of drink, drank a small mouth. 在旁边坐下,莫丽娜打开了自己的那罐饮料,也喝了一小口。 Looks at still some breath not steady Lu Zhou, the tone that she uses to chat spoke thoughtlessly to say. 看着仍然有些呼吸不稳的陆舟,她用闲聊的口吻随口说道。 „This not like you.” “这可不像你。” Lu Zhou grins to smile: „Which aspect do you refer to?” 陆舟咧嘴笑了笑:“你指的是哪方面？” Morina: „Two months ago the physical strength was much better than the present, it seems like that this vacation makes you lax.” 莫丽娜:“两个月前你的体力比现在好得多,看来这个假期让你松懈了。” Spoke this saying time, Morina tone taking pleasure in others' misfortunes some flavors, although Lu Zhou does not know that she is taking pleasure in others'misfortunes anything. 说这话的时候,莫丽娜的语气有些幸灾乐祸的味道,虽然陆舟也不知道她在幸灾乐祸些什么。 Even a while ago he again how lax, the achievement by him now achieved, can her teacher insta-kill her continues as before the imu conference of August of this year twice...... 就算前段时间他再怎么松懈,凭借他现在已经取得的成就,依旧可以在今年八月的imu大会上将她和她的导师秒杀两次不止…… „Perhaps.” “也许吧。” Lu Zhou made the movement of shooting, threw the can the trash can of lakeside. 陆舟做了个投篮的动作,将易拉罐扔向了湖边的垃圾桶。 No suspense, his shooting impartial center bull's eye. 没有任何悬念,他的投篮不偏不倚正中靶心。 However, his line of sight actually mounted probably in the lake surface was the same, cannot move. 然而,他的视线却像是黏在了湖面上一样,怎么也挪不开了。 Continued for five minutes is so long silent probably, Lu Zhou opened the mouth to say suddenly. 沉默大概持续了五分钟那么久,陆舟忽然开口道。 „You said this Carnegie Lake, can explode suddenly?” “你说这卡内基湖,会不会突然爆炸？” „Were you say under this lake bottom to bury the bomb?” The Morina eyebrow selected selecting, with ridiculing the tone said, „in this country, this joke cannot open randomly.” “你是说这湖底下埋着炸弹？”莫丽娜地眉毛挑了挑,用揶揄地口吻说道,“在这个国家,这个玩笑可不能乱开。” Lu Zhou smiles, shakes the head saying: „I refer, under usual circumstances.” 陆舟笑了笑,摇头道:“我指的是,在通常情况下。” Morina said naturally: „Naturally...... the words will not say why you did ask?” 莫丽娜理所当然道:“当然不会……话说你为什么这么问？” Lu Zhou sighed: „Because my math is telling me, truly has this possibility.” 陆舟叹了口气:“因为我的数学正在告诉我,确实存在这种可能性。” Morina tittered one to smile. 莫丽娜噗嗤一声笑了出来。 „This was too strange.” “这太离奇了。” Is staring at that sparkling lake the lake surface under the setting sun, stared in the lake surface the kayak club team member of training, Lu Zhou is saying meaningfully. 凝视着那在夕阳下波光粼粼的湖面,凝视着湖面上集训的皮划艇俱乐部队员,陆舟意味深长的说着。 „Yes, this was too strange.” “是啊,这太离奇了。” But, can have this possibility? 但,会不会存在这种可能性？ For example, in the system makes the hydrone of not regular motion, in the vector of some flash movement exactly simultaneously outward? Looking like the nature volatility is the same, because of all kinds of coincidences, is quite just intense, the energy that this type „volatility process” conducts releases in the flash. 比如,体系内做无规则运动的水分子,在某一瞬间运动的矢量恰好同时向外？就像是自然挥发一样,只不过因为各种各样的巧合,这种“挥发过程”进行的比较激烈,能量在一瞬间释放。 Regardless how to open this brain hole, Lu Zhou is unable the brain to make up, the lake water of kayak in lake surface instantaneous evaporation by the picture that blows off. 然而无论怎么开这个脑洞,陆舟也无法脑补出来,湖面上的皮划艇被瞬间蒸发的湖水炸飞出去的画面。 Only if...... 除非…… Throws large size bomb anything toward inside. 往里面扔颗大号炸弹什么的。 However he must discuss that obviously is not this type „increased empirical parameter” the peculiar circumstance. 不过他要讨论的,显然不是这种“添加了经验参数”的特殊情况。 Morina asked: „Static lake water do explode is also part of ns equation?” 莫丽娜问道:“静止的湖水自己爆炸也是ns方程的一部分？” Lu Zhou nods, spoke frankly to say. 陆舟点了点头,坦言说道。 „Right.” “没错。”