„Do youunderstand the Dragon Clanlanguage?”Old mannotdirect reactionJiang Feiissue.
“你懂龙族语言么?”老者并没有直接回答蒋飞的问题。„Understands.”Jiang Feireplied, beforeheinthisaspect, but under has not been short of the painstaking effort.
“懂一些。”蒋飞答道,之前他在这方面可是没少下苦功。„Thatis good, Iused the Human(ity)languageto be very difficultto indicateclear......”old manto change intowith the Dragon Clanlanguageat this pointcomeandJiang Feiexchange.
“那就好,我用人类的语言很难去表述清楚……”老者说到这里就换成用龙族语言来和蒋飞交流了。Because ofJiang Feiassiduousstudyafter a period of timeDragon Clanlanguage, thesewords that thereforethen the old manspokehe can definitely transformoneselflanguage, anditsunderstanding.
因为蒋飞刻苦的学过一段时间龙族语言,所以接下来老者说的这些话他完全可以转化成自己的语言,并且将其理解。„Do youhold true the solutionto the space?” The old menopen the mouthto ask, the Dragon Clanlanguage in hismouthwas facilitated the glossary of understandingbyJiang Feimachine translationsuccess.
“你对空间有什么理解?”老者开口问道,他口中的龙族语言被蒋飞自动翻译成了自己方便理解的词汇。„Space? Iknow that ourLifeinthree dimensionalspace, perhapshasbiologicalLifecompared withwehigherdimension.”Jiang Fei said that butin his mind, a higherdimensionhad the lifeformto existis notperhaps, becausethatfellowshave invadedthisuniverse!
“空间?我知道我们生活在三维的空间当中,或许有生物生活在比我们更高的维度。”蒋飞说道,不过在他的心中,更高维度有生物存在已经不是或许了,因为那帮家伙已经入侵到了这个宇宙当中!„Right, senior, four-dimensional spacefour-dimensionalis the time?”Jiang Feithought of an issuesuddenly.
“对了,前辈,四维空间的第四维是时间吗?”蒋飞突然想到了一个问题。„Of course not!” The old menshake the head, thensaidtoJiang Fei: „Timeis a specialvector, in the one-dimensional spacehas the time, in the two-dimensional spacealsohas the time, in each space of dimensionhas the timeto exist! The time and spacearetwodifferentconcepts!”
“当然不是!”老者摇了摇头,然后对蒋飞说道:“时间是一个特殊的矢量,一维空间内有时间,二维空间内也有时间,每一个维度的空间内都有时间存在!时间和空间是两个不同的概念!”„This!”Jiang Feinodded.
“这样啊!”蒋飞点了点头。„Ok, the relations of timeandspace explained that thenyoucantellmerelations among variousspacedimensions?”Old mannodded, thencontinuesto asktoJiang Feiwith the Dragon Clanlanguage.
“好了,时间和空间的关系解释完了,那么你能告诉我各种空间维度之间的关系吗?”老者点了点头,然后继续用龙族语言向蒋飞问道。„Relations?”Jiang Feistares, hedoes not understand that the old manaskediswhatmeaning.
“关系?”蒋飞一愣,他不明白老者这么问是什么意思。„Good, Icameto tellyoufrom the beginning.” The old mensighed, thensaidtoJiang Fei: „So-calledone-dimensional spaceis a straight line, ifinthisstraight linehas the lifeform, thatinitsangle of view, only thenrespectivelyonepoint, it can only forwardor the rearward movement.”
“好吧,我来从头跟你说吧。”老者叹了口气,然后对蒋飞说道:“所谓的一维空间就是一条直线,如果这条直线上有生物的话,那么在它的视角当中,都只有前后各一个点,它只能向前或者向后移动。”„Howeverinnumerablestraight lineson a constructionsuccessplane, is the so-calledtwo-dimensional space, no longerlimitedinthisinsidelifeformto the straight linemoved, butcanup and down about freemovement.” The old mencontinueto say.
“而无数条直线就构成了一个平面,也就是所谓的二维空间,在这里面的生物就不再局限于直线活动了,而是可以上下左右的自由移动。”老者继续说道。„Un! That's true!”Jiang Feinodded, old man'sdescriptionhappens to hold the same viewin the knowledge that the technicalworldmasterswithhim, although the name and outside world of Dragon Clanlanguagetospacedimensionis not quite same, butcorrespondsmutually is also a meaning.
“嗯!确实如此!”蒋飞点了点头,老者的描述跟他在科技世界所掌握的知识不谋而合,虽然龙族语言对空间维度的称呼与外界不太相同,但相互对应下来也都是一个意思。„We the Lifethree dimensionalworld is actually, after a two-dimensionalworld that layer upon layer the innumerableplanescomposefoldsputs together, constructionsuccessourthree dimensionalworld.” The old menhad a look atJiang Feiat this point, thencontinues saying: „Thereforeas you might guess, the four-dimensional space is actually the innumerablethree-dimensional spacesfoldsputs together the formation.”
“我们所生活的三维世界其实就是无数个平面所组成的,一层层的二维世界叠加在一起之后,就构成了我们所处的三维世界。”老者说到这里看看了蒋飞,然后继续说道:“所以可以想见,四维空间其实就是无数个三维空间叠加在一起形成的。”„Whatthatfour-dimensional spaceis?”Jiang Feicuriousasking.
“那四维空间是什么样的呢?”蒋飞好奇的问道。„Mustdiscussthisissue, but must mentionfromourcognitionto the space.” The old mensaid that here, thencontinued saying: „Ido not know that youdiscovered, weto the observation of the world, actually conduct through the way of dimensionality reduction.”
“要谈论这个问题,还得从我们对空间的认知谈起。”老者说道这里顿了一下,然后继续说道:“我不知道你发现了没有,我们对世界的观察,其实是通过降维的方式进行的。”„What do you mean?”Jiang Feistares.
“什么意思?”蒋飞一愣。„Gives an example.” The old menput out a hand a stroke, in the midairpresentedray.
“举个例子。”老者伸手一划,半空中出现了一道光线。„Thisis a straight line, representsis one -dimensional space, ifthere isbiologicalLifehere, thenin his eyes, only then the frontpoint and followingpoint, thisis representingLifein the one-dimensional spacelifeform, he can only see.” The old mensaid, onewaves, the ray in midairvanishes, what replaces it is a lightwall.
“这是一条直线,所代表的就是一个一维空间,如果有个生物生活在这里,那么在他的眼中,就只有前面一个点和后面一个点,这就代表着生活在一维空间的生物,他只能看到点。”老者说完之后一挥手,半空中的光线消失,取而代之的是一面光墙。„Youlook, thisis a plane, whatrepresentsis a two-dimensional space.”Then the old manbig handwields, on the lightwallpresentedmanydesigns, has the square shape, has the circle.
“你看,这是一个平面,所代表的是一个二维空间。”然后老者大手一挥,光墙上出现了很多图案,有方形,有圆圈。„If the lifeform of Lifeinthisplane, underhisangle of view, thesesquare shapesor the circleshe is actually cannot see, hecanseetohisline.” The old mensaid that againwaved his hand, thatlight/onlywallvanishes, actuallyhoweverwhatgeneration of itis an entitywall.
“如果是在这个平面上生活的生物,他的视角下,这些方形或者圆圈他其实是看不见的,他能看到的只是正对着他的一条线罢了。”老者说完再次挥了挥手,那光墙消失,却而代之的是一堵实体墙。„OurLifein the middle of the three dimensionalworld, observesatyourangle of viewnow, whatyour does fronthave?” The old menaskedtoJiang Fei.
“我们生活在三维世界当中,现在以你的视角来观察,你前面有什么?”老者向蒋飞问道。„A wall!”Jiang Feinaturalsaying.
“一面墙啊!”蒋飞理所当然的说道。„Un! Right! Butthis is also a plane! Youcannot see the planebackthing, becauseyouare the person in three dimensionalworld, thereforeyou can only see the plane of two-dimensionalworld.” The old mensaid.
“嗯!没错!但这也是个平面!你根本看不到平面背后的东西,因为你是三维世界的人,所以你只能看到二维世界的平面。”老者说道。„It is not right! Icansee the three dimensionalobject, for examplethisball!”Jiang Feiwas sayingtakes out a ballfromring's space.
“不对啊!我可以看到三维的物体啊,比如这个球!”蒋飞说着就从戒指空间内取出一个球来。„Hehe, thatisyouacts according to the muchrelatedknowledge, insubconscious the answer that when the mesencephalonmakes up......”old manwas sayingreceived the ballfrom the hand of Jiang Fei, thenhewaves, the surroundingrayinstantaneouslybecomesgloomy, at this timein the eye of Jiang Fei, thatball is only left over the lightcircularshadow.
“呵呵,那不过是你根据很多相关的知识,在潜意识当中脑补的答案罢了……”老者说着从蒋飞的手中接过了球,然后他一挥手,周围的光线瞬间变得暗淡起来,此时在蒋飞的眼中,那个球只剩下一点淡淡的圆形影子。„Youlook, after losing the contrast of raylight and shade, yourbrain was unable to conduct to calculate, the realimage that inyoureyeseesis only a circular.” The old mensaid with a smile.
“你看,失去了光线明暗的对比之后,你的大脑已经无法进行计算了,你眼中看到的真实图像只是一个圆形罢了。”老者笑道。„Originallyisthis......”Jiang Feinodded, originally after the three dimensionalworld in hiseyeis the eyesfeed in the two-dimensional images, the brainagainafter the lightdarkcontrastandnearlygreatlyis farsmalland other knowledgecomputationssupplemented the result.
“原来是这样……”蒋飞点了点头,原来他眼中的三维世界不过是双眼传回二维图像之后,大脑再根据光暗对比和近大远小等知识计算补充后的结果。„Therefore ,person in the dimensionspace, can only through the way of dimensionality reduction the space that comes the sensationheto be, heis unable to seeownspacetrue colors!” The old mengave the conclusionfinally.
“所以说,一个维度空间内的人,只能通过降维的方式来感知他所在的空间,他是无法看到自己所处空间的真面目的!”老者最后给出了结论。„So that's how it is!”Jiang Feinodded, no matter the scenery in drawingis charming, is onlystraight lines that the lifeform in two-dimensional spacecansee, butcolorful of three dimensionalworld, in people's eyes is also drawingsplicing, althoughthisanswermakesJiang Feihavesomelosing, but the fact is actually so.
“原来如此!”蒋飞点了点头,不管图画中的景色多么迷人,在二维空间中的生物所能见到的都只是一条条直线,而三维世界的缤纷多彩,在人们的眼中也不过就是一面面图画拼接而成的,虽然这个答案让蒋飞有一些失落,但事实却就是如此。„Thereforeyouunderstood.” The old mensmile, thencontinues saying: „So-calledfour-dimensional spaceis the product that the innumerablethree-dimensional spacespile up one on top of anotherbecome, naturally, thispiling up one on top of anotherdoes not wantto coverhousesuchsimplepiling up one on top of anotherwith the brick, suchaccumulates was still the three dimensionalworld, thispiling up one on top of anotherby the waystructure that weare unable to understandin the same place, therepersoncansee through the essence of two-dimensionalworldlikeus, saw throughourworld; The world in theireyeareby the truethree dimensionalimageconstitution, because weare unable to observe the truethree dimensionalworld, thereforeis unable to describetheirworld.”
“所以你明白了吧。”老者笑了笑,然后继续说道:“所谓的四维空间就是无数三维空间堆叠而成的产物,当然,这种堆叠不是想用砖盖房子那样简单的堆叠,那样累加起来的仍旧是三维世界,这种堆叠是以一种我们无法理解的方式构架在一起的,那里的人可以像我们看穿二维世界的本质一样,看穿我们的世界;他们眼中的世界是由真正的三维影像构成,而我们因为无法观察到真正的三维世界,所以也无从去描述他们的世界。”„Aren't the people in ourthree dimensionalworldableto imagine the imaginationhave the appearance of four-dimensionalworld?”Jiang Feiasked.
“难道我们三维世界的人连想象都无法想象出四维世界的模样吗?”蒋飞问道。„Cannot!” The old menshake the head, thensaid: „Iactuallydiscoveredinterestingmatter, thiscouldhelpyouuntiesomesuspicions.”
“不能!”老者摇了摇头,然后说道:“不过我却发现了一点有趣的事情,这或许可以帮你解开一些疑团。”„Whatinterestingmatter?”Jiang Feipursuesimmediatelyasks.
“什么有趣的事情?”蒋飞立即追问道。
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