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什么是一?
热度 5 nature2012 2013-3-13 11:36
Einstein on science—— I believe intuition and inspiration 节选部分: I look at the picture, but my imagination can not describe the appearance of its creators.I watch, but I can not imagine is how to create the watchmaker's appearance .Human intellect can not accept four-dimensional.How can he understand God?For God is a thousand years and a thousand dimensions are presented. You see only in the survival of the Earth's surface completely squashed bug=方 . Only bug may have been given to the analysis of the rational, to study physics, even writing a book. It will be a two-dimensional world. Thought and mathematics, it can even understand the third dimension, but it can not be a third dimension intuitively imagined. On exactly the same with only unfortunate bug, in this case, the only distinction In mathematics , one can imagine the fourth dimension, but physically, people can not see and intuitively imagine a fourth dimension . For him, the fourth dimension is only in mathematics there. His intellect does not understand the fourth dimension. 在数学中, 一 能成象四维,但在物理上 人 不能看到与直观地想象一个四分之一的尺度。 上面这句是我的翻译,One应当是数字一,而非一个人。 Mathematical concept mathematics from wiki The first reference to spacetime as a mathematical concept was in 1754 by Jean le Rond d'Alembert in the article Dimension in Encyclopedie . Another early venture was by Joseph Louis Lagrange in his Theory of Analytic Functions (1797, 1813). He said, " One may view mechanics as a geometry of four dimensions, and mechanical analysis as an extension of geometric analysis" . “ 一 ” 可以看做四维的几何结构(具体形状),以及几何扩展的结构分析 。 这个“一”是什么呢?!
200 次阅读|8 个评论
[转载]人死如灯灭:爱因斯坦很超脱
livingfossil 2012-6-17 23:04
人死如灯灭:爱因斯坦很超脱 爱因斯坦生前不要虚荣,死后更不要哀荣。他留下遗嘱,要求不发讣告,不举行葬礼。他把自己的脑供给医学研究,身体火葬焚化,骨灰秘密的撒在不让人知道的河里,不要有坟墓也不想立碑。在把他的遗体送到火葬场火化的时候,随行的只有他最亲近的 12 个人,而其他人对于火化的时间和地点都不知道。 爱因斯坦在去世之前 , 把他在 普林斯顿 默谢雨街 112 号的房子留给跟他工作了几十年的秘书杜卡斯小姐,并且强调: “ 不许把这房子变成博物馆。 ” 他不希望把默谢雨街变成一个朝圣地。他一生不崇拜偶像,也不希望以后的人把他当作偶像来崇拜。 爱因斯坦曾经说过: “ 我自己不过是自然的一个极微小的部分 ” ,他把一切献给了人类从自然界获得自由的征程,最后连自己的骨灰也回到了大自然的怀抱。但是正如英费尔德第一次与他接触时所感受到的那样: “ 真正的伟大和真正的高尚总是并肩而行的 ” ,爱因斯坦的伟大业绩和精神永远留给了人类。 http://baike.baidu.com/view/2218.htm ==================== http://timelines.com/1955/4/18/albert-einstein-dies The death of Albert Einstein came on April 18,1955 in Princeton, New Jersey. After a long illness, he died peacefully in hissleep. The listed cause of death is a ruptured artery in his heart. Upon hisrequest in his will, there was no funeral, no grave, and no marker. His brainwas donated to science and his body was cremated and his ashes were spread overa near-by river. Source: home.pacbell.net http://home.pacbell.net/kidwell5/aebio.html ============================= On 17 April 1955, Albert Einstein experiencedinternal bleeding caused by the rupture of an abdominal aortic aneurysm, whichhad previously been reinforced surgically by Dr. Rudolph Nissen in 1948. Hetook the draft of a speech he was preparing for a television appearancecommemorating the State of Israel’s seventh anniversary with him to thehospital, but he did not live long enough to complete it. Einstein refusedsurgery, saying: I want to go when I want. It is tasteless to prolonglife artificially. I have done my share, it is time to go. I will do itelegantly. He died in Princeton Hospital early the next morning at theage of 76, having continued to work until near the end. Einstein’s remains werecremated and his ashes were scattered around the grounds of the Institute forAdvanced Study, Princeton, New Jersey. During the autopsy, the pathologist ofPrinceton Hospital, Thomas Stoltz Harvey removed Einstein’s brain forpreservation, without the permission of his family, in hope that theneuroscience of the future would be able to discover what made Einstein sointelligent. Source: UsefulTrivia.com http://www.usefultrivia.com/celebrity_trivia/ce. On April 17, 1955, the great mathematician andphysicist Albert Einstein was admitted to Princeton Hospital complaining ofchest pains. He died early the next morning (April 18) of a burst aorticaneurysm. He was cremated, and his ashes were scattered in an undisclosedlocation. Before the cremation, however, his brain was removed by Dr. ThomasHarvey, a pathologist at the hospital who wanted to know what it was that madeEinstein a genius. Harvey did not have permission to remove the brain, and whenthe fact came to light and he refused to return the specimen, he was dismissedfrom the hospital. For almost three decades, Harvey kept Einstein's brain inhis home, constantly on the lookout for researchers willing to study it. Most,however, dismissed the idea that Einstein's brain was physiologically differentin any meaningful way. In the early 1980s, however, Harvey was contacted byMarian Diamond, a neuroscientist from UCLA who proposed to count certain cellsin the scientist's brain and compare them with normal specimens. Although otherscientists questioned the validity of her methods, she found that Einstein didindeed have an unusual neuron-to-glial-cell ratio in one key area of his brain.Finally, in 1997, Harvey embarked on a cross-country road trip to return thebrain to Einstein's granddaughter in California. Ironically, she didn't want itand the great scientist's brain was eventually returned to the same pathologylab at Princeton Hospital where it's strange journey had begun more than fortyyears earlier. Source: UsefulTrivia.com http://www.usefultrivia.com/celebrity_trivia/ce... ===== AlbertEinstein was born at Ulm, Wuerttemberg, Germany, on March 14, 1879. His boyhoodwas spent in Munich, where his father, who owned electro-technical works, hadsettled. The family migrated to Italy in 1894, and Albert was sent to acantonal school at Aarau in Switzerland. He attended lectures while supportinghimself by teaching mathematics and physics at the Polytechnic School at Zurichuntil 1900. Finally, after a year as tutor at Schaffthausen, he was appointedexaminer of patents at the Patent Office at Bern where, having become a Swisscitizen, he remained until 1909. It was in this period that he obtained his Ph.D. degree at theUniversity of Zurich and published his first papers on physical subjects. These were so highly esteemed that in 1909 he was appointedExtraordinary Professor of Theoretical Physics at the University of Zurich. In1911 he accepted the Chair of Physics at Prague, only to be induced to returnto his own Polytechnic School at Zurich as full professor the next year. In1913 a special position was created for him in Berlin as director of the KaiserWilhelm Physical Institute. He was elected a member of the Royal PrussianAcademy of Sciences and received a stipend sufficient to enable him to devoteall his time to research without any restrictions or routine duties. Source: THE NEW YORK TIMES http://www.nytimes.com/learning/general/onthisd.. ================================
个人分类: Behind palaeobotany|2501 次阅读|0 个评论
[转载]NYTimes OBITUARY: Albert Einstein
livingfossil 2012-6-17 22:58
NYTimesOBITUARY : Albert Einstein http://www.nytimes.com/learning/general/onthisday/bday/0314.html April 19, 1955 OBITUARY Dr. Albert Einstein Dies in Sleep at 76; World Mourns Loss ofGreat Scientist By THE NEW YORK TIMES Albert Einstein was born at Ulm,Wuerttemberg, Germany, on March 14, 1879. His boyhood was spent in Munich,where his father, who owned electro-technical works, had settled. The familymigrated to Italy in 1894, and Albert was sent to a cantonal school at Aarau inSwitzerland. He attended lectures while supporting himself by teachingmathematics and physics at the Polytechnic School at Zurich until 1900.Finally, after a year as tutor at Schaffthausen, he was appointed examiner ofpatents at the Patent Office at Bern where, having become a Swiss citizen, heremained until 1909. It was in this period that heobtained his Ph.D. degree at the University of Zurich and published his firstpapers on physical subjects. These were so highly esteemed that in1909 he was appointed Extraordinary Professor of Theoretical Physics at theUniversity of Zurich. In 1911 he accepted the Chair of Physics at Prague, onlyto be induced to return to his own Polytechnic School at Zurich as fullprofessor the next year. In 1913 a special position was created for him inBerlin as director of the Kaiser Wilhelm Physical Institute. He was elected amember of the Royal Prussian Academy of Sciences and received a stipendsufficient to enable him to devote all his time to research without anyrestrictions or routine duties. Elected to Royal Society He was elected a foreign member of theRoyal Society in 1921 , having also been made previously amember of the Amsterdam and Copenhagen Academies, while the Universities ofGeneva, Manchester, Rostock and Princeton conferred honorary degrees on him. In1925 he received the Copley Medal of the Royal Society and in 1926 the GoldMedal of the Royal Astronomical Society in recognition of his theory of relativity. He received a Nobel Price in 1921. Honors continued to be conferred onhim. He was made a member of the Institute de France, one of the few foreignersever to achieve such a distinction. Other great universities throughout theworld, including Oxford, Cambridge, Paris, Madrid, Buenos Aires, Zurich,Yeshiva, Harvard, London and Brussels, awarded honorary doctorates to him. One of the highest Americanscientific honors, the Franklin Institute Medal, came to him in 1935, when hestartled the scientific world by failing to deliver more than a merethank-you in lieu of the scientific address customary on suchoccasions. He made up for it later by contributing an important paper to theJournal of the Franklin Institute dealing with ideas, he explained, that werenot quite ripe at the time he received the medal. Dr. Einstein married Mileva Marec, afellow-student in Switzerland, in 1901. They had two sons, Albert Einstein Jr.,an electrical engineer who also came to this country, and Eduard. The marriageended in divorce. He married again, in 1917, this time his cousin, ElsaEinstein, a widow with two daughters. She died in Princeton in 1936. To Institute at Princeton in '32 When the Institute for Advanced Studywas organized in 1932 Dr. Einstein was offered and accepted, the place ofProfessor of Mathematics and Theoretical Physics, and served, also, as the Headof the Mathematics Department. The institute was situated at Princeton, N.J.,and Dr. Einstein made plans to live there about half of each year. These plans were changed suddenly.Adolf Hitler rose to power in Germany and essential human liberty, even forJews with world reputations like Dr. Einstein, became impossible in Germany. Heannounced that he would not return to Berlin, sailed for Europe and went toBelgium. Immediately many nations invited himto make his home in their lands. In the late spring of 1933 Dr. Einsteinlearned, in Belgium, that his two step-daughters had been forced to fleeGermany. Not long after that he was notifiedthrough the press that he had been ousted from the supervising board of theGerman Bureau of Standards. His home at Caputh was sacked by Hitler BrownShirts on the allegation that the world-renowned physicist and pacifist had avast store of arms hidden there. The Prussian Academy of Scienceexpelled him and also attacked him for having made statements regarding Hitleratrocities. His reply was this: I do not want to remain in astate where individuals are not conceded equal rights before the law forfreedom of speech and doctrine. In September of 1933 he fled fromBelgium and went into seclusion on the coast of England, fearful that the Nazishad plans upon his life. Then he journeyed to Princeton and made his homethere. He bought a home in Princeton and settled down to pass his remainingyears there. In 1940 he became a citizen of the United States. Einstein Noted as an Iconoclast In Research,Politics and Religion His EarlySpare-Time Reflections in Bern Led to Strong Belief in Social Equality and Hopefor a World Government In 1904, Albert Einstein, then anobscure young man of 25, could be seen daily in the late afternoon wheeling ababy carriage on the streets of Bern, Switzerland, halting now and then,unmindful of the traffic around him, to scribble down some mathematical symbolsin a notebook that shared the carriage with his infant son, also named Albert. Out of those symbols came the mostexplosive ideas in the age-old strivings of man to fathom the mystery of hisuniverse. Out of them, incidentally, came the atomic bomb, which, viewed fromthe long-range perspective of mankind's intellectual and spiritual history mayturn out, Einstein fervently hoped, to have been just a minor by-product. With those symbols Dr. Einstein wasbuilding his theory of relativity. In that baby carriage with his infant sonwas Dr. Einstein's universe-in-the-making, a vast, finite-infinitefour-dimensional universe, in which the conventional universe--existing inabsolute three-dimensional space and in absolute three-dimensional time ofpast, present and future--vanished into a mere subjective shadow. Dr. Einstein was then building hisuniverse in his spare time, on the completion of his day's routine work as ahumble, $600-a-year examiner in the Government Patent Office in Bern. Published Four Papers A few months later, in 1905, theentries in the notebook were published in four epoch-making scientific papers.In the first he described a method for determining molecular dimensions. In thesecond he explained the photo-electric effect, the basis of electronics, forwhich he won the Nobel Prize in 1921. In the third, he presented a molecularkinetic theory of heat. The fourth and last paper that year, entitledElectrodynamics of Moving Bodies, a short article of thirty-one pages,was the first presentation of what became known as the Special RelativityTheory. Three of the papers were published,one at a time, in Volume 17 of the German scientific journal, Annalen derPhysik, leading journal of physics in the world at the time. The fourth wasprinted in Volume 18. Neither Dr. Einstein, nor the world he lived in, norman's concept of his material universe, were ever the same again. Many other scientific papers, ofstartling originality and intellectual boldness, were published by Dr. Einsteinin the succeeding years. The scientific fraternity in the world of physics,particularly the leaders of the group, recognized from the beginning that a newstar of the first magnitude had appeared on their firmament. But with thepassing of time his fame spread to other circles, and by 1920 the name ofEinstein had become synonymous with relativity, a theory universally regardedas so profound that only twelve men in the entire world were believed able tofathom its depths. Legend Grew With Years Paradoxically, as the years passed,the figure of Einstein the man became more and more remote, while that ofEinstein the legend came ever nearer to the masses of mankind. They grew toknow him not as a universe-maker whose theories they could not hope to understandbut as a world citizen, one of the outstanding spiritual leaders of hisgeneration, a symbol of the human spirit and its highest aspirations. The world around Einstein haschanged very much since he published his first discoveries * * * but his attitudeto the world around him has not changed, wrote Dr. Phillipp Frank, Dr.Einstein's biographer, in 1947. He has remained an individualist whoprefers to be unencumbered by social relations, and at the same time a fighterfor social equality and human fraternity. Many famous scholars live inthe distinguished university town, (Princeton) Dr. Frank continues,but no inhabitant will simply number Einstein as one among many otherfamous people. For the people of Princeton in particular and for the world atlarge he is not just a great scholar, but rather one of the legendary figuresof the twentieth century. Einstein's acts and words are not simply noted andjudged as facts; instead each has its symbolic significance * * * Saintly,noble and lovable were the words used to describe himby those who knew him even casually. He radiated humor, warmth and kindliness.He loved jokes and laughed easily. Princeton residents would see himwalk in their midst, a familiar figure, yet a stranger, a close neighbor, yetat the same time a visitor from another world. And as he grew older hisotherworldiness became more pronounced, yet his human warmth did not diminish. Outward appearance meant nothing tohim. Princetonians, old and young, soon got used to the long-haired figure inpullover sweater and unpressed slacks wandering in their midst, a knittedstocking cap covering his head in winter. My passionate interest insocial justice and social responsibility, he wrote, has alwaysstood in curious contrast to a marked lack of desire for direct associationwith men and women. I am a horse for single harness, not cut out for tandem orteam work. I have never belonged wholeheartedly to country or state, to mycircle of friends, or even to my own family. These ties have always beenaccompanied by a vague aloofness, and the wish to withdraw into myselfincreases with the years. Such isolation is sometimesbitter, but I do not regret being cut off from the understanding and sympathyof other men. I lose something by it, to be sure, but I am compensated for itin being rendered independent of the customs, opinions and prejudices ofothers, and am not tempted to rest my peace of mind upon such shiftlessfoundations. Center of Controversies It was this independence that madeDr. Einstein on occasions the center of controversy, as the result of hischampionship of some highly unpopular causes. He declared himself a stanchpacifist in Germany during World War I and brought down upon his head a stormof violent criticism from all sides. When outstanding representatives of Germanart and science signed, following the German invasion of Belgium in violationof treaty, the Manifesto of Ninety-two German Intellectuals,asserting that German culture and German militarism are identical,Dr. Einstein refused to sign and again faced ostracism and the wrath of themultitudes. But he never wavered when hisconscience dictated that he take a course of action, no matter how unpopular.One of these occasions came on Jan. 12, 1953, when he wrote to President HarryS. Truman: My conscience compels me tourge you to commute the death sentence of Julius and Ethel Rosenberg, thetwo convicted atomic spies who were executed five months later. In June, 1953,he wrote a letter to a school teacher in which he characterized certain tacticsof a Congressional investigating committee as a kind of inquisitionthat violates the spirit of the Constitution, and advised theminority of intellectuals to refuse to testify on the ground thatit is shameful for a blameless citizen to submit to such aninquisition. Faced with this evil, he said, he could see only therevolutionary way of non-cooperation in the sense of Gandhi's. Later that year Dr. Einstein adviseda witness not to answer any questions by Senator Joseph R. McCarthy, Republicanof Wisconsin, relating to personal beliefs, politics, associations with otherpeople, reading, thinking and writing, as a violation of the First Amendment,which provides constitutional guarantees of free speech and associations. Thewitness, in refusing to cooperate with the subcommittee then headed by SenatorMcCarthy, said he was doing so on the advice of Dr. Einstein, who confirmed thewitness's statement. He was a severe critic ofmodern methods of education. It is nothing short of a miracle, hesaid, that modern methods of instruction have not yet entirely strangledthe holy curiosity of inquiry. For this delicate little plant, aside fromstimulation, stands mainly in need of freedom. His political ideal, he emphasizedfrequently, was democracy. The distinctions separating the social classes, hewrote, are false. In the last analysis they rest on force. I am convincedthat degeneracy follows every autocratic system of violence, for violence inevitablyattracts moral inferiors * * *. For this reason I have always been passionatelyopposed to such regimes as exist in Russia and Italy today. This was written in 1931, two yearsbefore Hitler came to power. Dr. Einstein believed that asocialist planned economy was the only way to eliminate the inequalities ofcapitalism. However, he fully recognized that planned economy as such maybe accompanied by the complete enslavement of the individual. His love for the oppressed also ledhim to become a strong supporter of Zionism. In November, 1952, following thedeath of Chaim Weizmann, Dr. Einstein was asked if he would accept thePresidency of Israel. He replied that he was deeply touched by the offer butthat he was not suited for the position. He never undertook functions he couldnot fulfill to his satisfaction, he said, and he felt he was not qualified inthe area of human relationships. Chairman of Atomic Unit On Aug. 6, 1945, when the world waselectrified with the news that an atomic bomb had exploded over Japan, thesignificance of relativity was intuitively grasped by the millions. From thenon the destiny of mankind hung on a thin mathematical thread. Dr. Einstein devoted much of his timeand energy in an attempt to arouse the world's consciousness to its dangers. Hebecame the chairman of the Emergency Committee of Atomic Scientists, organizedto make the American people aware of the potential horrors of atomic warfareand the necessity for the international control of atomic energy. He believedthat real peace could be achieved only by total disarmament and theestablishment of a restricted world government, asupranational judicial and executive body empowered to decide questionsof immediate concern to the security of the nations. The hydrogen bomb, hesaid in 1950, appears on the public horizon as a probably attainablegoal. * * * If successful, radioactive poisoning of the atmosphere, and henceannihilation of any life on earth, has been brought within the range oftechnical possibilities. He found recreation from his laborsin playing the grand piano that stood in the solitary den in the garret of hisresidence. Much of his leisure time, too, was spent in playing the violin. Hewas especially fond of playing trios and quartets with musical friends. In my life, he said once,explaining his great love for music, the artistically visionary plays nomean role. After all, the work of a research scientist germinates upon the soilof imagination, of vision. Just as an artist arrives at his conceptions partlyby intuition, so a scientist must also have a certain amount ofintuition. While he did not believe in a formal,dogmatic religion, Dr. Einstein, like all true mystics, was of a deeplyreligious nature. He referred to it as the cosmic religion, which he defined asa seeking on the part of the individual who feels it to experience thetotality of existence as a unity full of significance. I assert, he wrote forThe New York Times on Nov. 9, 1930, that the cosmic religious experienceis the strongest and the noblest driving force behind scientific research. Noone who does not appreciate the terrific exertions and, above all, the devotionwithout which pioneer creation in scientific thought cannot come into being canjudge the strength of the feeling out of which alone such work turned away asit is from immediate, practical life, can grow. The most beautiful and profoundemotion we can experience, he wrote is the mystical. It is thesource of all true art and science. He to whom this emotion is a stranger, whocan no longer pause to wonder and stand rapt in awe, is as good as dead: hiseyes are closed. This insight into the mystery of life, coupled though it bewith fear, also has given rise to religion. To know that what is impenetrable tous really exists, manifesting itself as the highest wisdom and the most radiantbeauty which our dull faculties can comprehend only in their primitiveforms--this knowledge, this feeling, is at the center of true religiousness. Inthis sense, and in this sense only, I belong in the ranks of devoutly religiousmen. I cannot imagine a God whorewards and punishes the objects of his creation, whose purposes are modeledafter our own--a God, in short, who is but a reflection of human fraility.Neither can I believe that the individual survives the death of his body,although feeble souls harbor such thoughts through fear or ridiculous egotism.It is enough for me to contemplate the mystery of conscious life perpetuatingitself through all eternity, to reflect upon the marvelous structure of theuniverse which we can dimly perceive, and to try humbly to comprehend even aninfinitesimal part of the intelligence manifested in nature. My religion consists of ahumble admiration of the illimitable superior spirit who reveals himself in theslight details we are able to perceive with our frail and feeble minds. Thatdeeply emotional conviction of the presence of a superior reasoning power,which is revealed in the incomprehensible universe, forms my idea of God. The most incomprehensible thingabout the world, he said on another occasion, is that it iscomprehensible.
个人分类: Behind palaeobotany|6900 次阅读|0 个评论
[转载]像爱因斯坦一样思考 (How to Think Like Einstein)
热度 1 charlesqwu 2012-6-10 06:02
[转载]像爱因斯坦一样思考 (How to Think Like Einstein)
书: 像爱因斯坦一样思考 Book: How to Think Like Einstein (in PDF) downloadable at: http://ishare.iask.sina.com.cn/f/10674021.html
4682 次阅读|1 个评论
沈惠川:著名物理学家对Einstein的评价
热度 3 ShenHuiChuan 2011-12-16 11:45
沈惠川:著名物理学家对 Einstein 的评价 创建一般相对论时的 Albert Einstein @ 要对 Einstein 的理论作出中肯评价的话,那么可以把他比作 20 世纪的 Copernicus ,这也正是我所期望的评价。 —— Max Planck @ 古来一切自然科学的思想和一切科学的哲理学说,都没有比 Einstein 的思想更高超的。他在现代物理学的思想中唤起革命,比 Copernicus 在他的时代创造的地动说还更广阔,更精深。 —— Max Planck @...... 他的非凡的天才使他不能成为一个好的导师,他的天才对希望赶上他的学生来说可能是不利的。 —— Max von Laue @ 自从 19 岁我开始转向理论物理学研究以来,我一直是 Einstein 及其学术工作的狂热崇拜者。我知道这位杰出而仍还年轻的学者在他 25 岁时已经将一些极富革命性的概念引入了物理学,使物理学的面貌焕然一新,他本人也因此成了当代科学中的 Newton 。 —— Louis de Broglie (1979) @Schrodinger 和我都深深崇敬 Einstein ,将他视为导师和科学泰斗。 —— Louis de Broglie @...... 在与 Einstein 的每一次接触中,我们大家都会得到启示;能够从这种启示中获得裨益对我是何等地重要啊! —— Niels Bohr @ 在我们这一时代的物理学史中, Einstein 的地位将在最前列。他现在是,并且将来也还是人类宇宙中有着头等光辉的一颗巨星。很难说,他究竟是同 Newton 一样伟大,还是比 Newton 更伟大;不过,可以肯定地说,他的伟大是可以同 Newton 相比拟的。按我的见解,他也许比 Newton 更伟大,因为他对于科学的贡献更深入到人类思想基本概念的结构中。 —— Paul Langevin (1931) @Einstein 的工作从根本上带有开创性的特征。他从意想不到的方向打开新的思路;他创造了奇迹。 —— Paul Adrien Maurice Dirac (1979) @ 关于他的学问,特别是广义相对论,那是天才的伟业;我现在有了更深的感受。在 20 世纪的许多出色的物理学家中,我认为他是高出一格的伟人。 —— 汤川秀树 @ 我们当中有一位物理学家:他的地位是因为其工作主导着两个世纪以来的时空哲学。这是我们这一代人特殊的荣幸。 …… 对 Einstein 理论的哲学做出贡献的有许多人,但是 Einstein 却只有一个。 —— Hans Reichenbach ( 1959 )
个人分类: 相对论|4157 次阅读|15 个评论
沈惠川辑录:物理学“四大奇书”论“Einstein相对论”
ShenHuiChuan 2011-12-16 08:48
沈惠川辑录:物理学“四大奇书”论“ Einstein 相对论” Albert Einstein 物理学“四大奇书”系指:( 1 ) H.Goldstein 的《经典力学》(或与之相当的, D.T.Greenwood 的《经典动力学》),( 2 ) J.D.Jackson 的《经典电动力学》,( 3 ) L.I.Schiff 的《量子力学》(或与之相当的, J.J.Sakurai 的《量子力学》),( 4 )马上庚( S.-K.Ma )的《统计力学》 ( 或与之相当但风格不同的, R.K.Pathria 的《统计力学》 ) 。四大奇书中有关 Einstein 相对论的论述主要集中在《经典力学》(或《经典动力学》)和《经典电动力学》中。 ◎ H.Goldstein 的《经典力学》 狭义相对论通常总是得不到连贯的发挥,只是作为同时包含有广义相对论的,某门高度专门化教程的一部分。然而,它在近代物理学中极其重要的地位,要求学生在学习的早期阶段就熟悉狭义相对论。 ◎ D.T.Greenwood 的《经典动力学》 Einstein 在他的狭义相对论中把相对性原理由纯粹的力学系统推广到电磁现象,并且假设可推广到全部物理学。这一基本原理对有关距离和时间的习俗观念产生了惊人后果,并且对于物理学理论进一步的发展具有深远的影响。 ◎ J.D.Jackson 的《经典电动力学》 自从 Einstein 在 1905 年发表狭义相对论以后,狭义相对论在物理学中就成了大家经常讨论的题材,并如经典力学的 Newton 定律,电磁学的 Maxwell 方程组或量子力学的 Schrodinger 方程一样得到人们的公认。在精细的原子现象的研究中,在原子核物理学中,尤其是在高能物理学中,科学家们天天用到狭义相对论。 狭义相对论起源于电磁学。事实上,我们可以说,把电学、磁学和光学统一起来的 Maxwell 方程组的进一步发展,必然导致狭义相对论的问世。特别重要的是 Lorentz 从 1890 年起对电动力学的研究奠定了狭义相对论的基础。 Poincare 作出了重要的贡献,而 Einstein 完成了决定性的推广,他使狭义相对论不仅适用于电动力学,而且适用于一切物理现象,并着重指出了第二个假设的深远影响。现在人们相信,狭义相对论适用于除大尺度引力现象以外的所有各种形式的相互作用。在现代物理学中,狭义相对论成为检验基本粒子相互作用的各种可能形式的试金石。只有符合狭义相对论的那些理论才有考虑的必要。这就常常严格限制了各种理论成立的可能性。 ◎ R.K.Pathria 的《统计力学》 热力学系统的绝对温度要作 Lorentz 收缩,此点是由 Planck ( 1907 年)和 Einstein ( 1907 年)首先建立的。 。。。。。。。 最后,我们想分别对温度和热量的变换公式作一些评论。这些量具有 Lorentz 收缩这一特性,以往有些学者,最著名的是 Ott ( 1963 )和 Arzelies ( 1965 )等曾提出过异议。争论的要害在于,根据这些量的物理性质(如同通常所理解的),它们应该膨胀,而不应该收缩。然而,我们相信,这里所得到的变换是正确的。
个人分类: 相对论|3827 次阅读|0 个评论
沈惠川辑录:物理学“四大名著”论“Einstein相对论”
ShenHuiChuan 2011-12-16 08:43
沈惠川辑录:物理学“四大名著”论“ Einstein 相对论” Albert Einstein 物理学四大名著指的是:( 1 ) L.D.Landau 和 E.M.Lifshitz 的《理论物理教程》( 10 卷),( 2 )汤川秀树 (H.Yukawa) 主编的《岩波讲座-现代物理学基础》( 12 卷),( 3 ) W.Pauli 的《物理学讲义》( 6 卷),( 4 )吴大猷( Tayou Wu )的《理论物理》( 7 卷)。“四大名著”中关于 Einstein 相对论的论述如下: ◎ L.D.Landau 和 E.M.Lifshitz 的《理论物理教程》(第二卷《场论》) 建立在相对论基础上的引力场理论称为广义相对论。它是由 Einstein 提出来的(最后在 1916 年建立),并且在现有的物理理论中,它或许是最美丽的。突出的地方是 Einstein 用纯推导的方法就建立了这个理论,只是以后才被天文观测所证实。 ◎ 汤川秀树 (H.Yukawa) 主编的《岩波讲座-现代物理学基础》(第二卷《古典物理学》) Einstein 首先根据物理定律在 Lorentz 变换下具有协变性的要求,完成了狭义相对论。进而根据物理定律对于代替 Lorentz 变换的一般坐标变换也必须写成协变形式这一更强的要求,又建立了广义相对论。 。。。。。。。 Einstein 发现, Lorentz 变换从根本上动摇了传统的时空观念。 。。。。。。。 狭义相对论的创始人 Einstein ,在完成狭义相对论之后立即着手于它的推广,是极其自然的趋势。在狭义相对论提出以后的第十年,他提出了广义相对论,并为完成它而献出了自己的晚年。这一理论曾给予许多数学家特别是专攻微分几何的人们以强烈的刺激,以致最后使它具有显著的数学形式。但是,不言而喻, Einstein 所关心的不是数学上的逻辑结构本身,而是它在宇宙规模内解释清楚作为物理现象的光和引力。 。。。。。。。 Einstein 想要“从几何学上”说明引力场的尝试强烈地刺激了当时的数学家们,使所谓微分几何获得惊人的发展。 。。。。。。。 作为广义相对论的第二个假定, Einstein 认为这个度规张量一方面应该表示空间的几何性质,另一方面,又应当成为引力场的势。换言之,他把四维空间的几何性质同万有引力这一物理量,看来毫不相干的两个概念或量等同起来。这是物理学思维上的很大飞跃;这可同 Newton 将动量的时间变化与力等同起来,以及 Boltzmann 将宏观状态的熵和微观状态的数目等同起来的情况相匹敌,或者可以说,有过之而无不及。 。。。。。。。 Einstein 在狭义相对论里否定了以太,认为电磁场直接存在于时间、空间之中。但是这里的时间、空间还是以 Minkowski 空间的形式从外面加上去的固定框架,并且还有从 DesCartes , Newton 以来试图把万有引力归结为超距作用的问题,未能像电磁场问题那样得到圆满解决而停滞下来。在那里还残留有在惯性系的特殊性这一形式下的运动的绝对性。 Einstein 在广义相对论里,至少在宏观世界范围内,一举解决了这些问题;并且与狭义相对论的情况相反,在那里采用一种崭新的观点:时间、空间自身受存在于其中的诸物体以及在其中发生的诸现象的影响而改变其几何学构造。 ◎ W.Pauli 的《物理学讲义》(第一卷《电动力学》) 人们已逐渐明了,以太不具有任何原子性结构(就像人们对弹性媒质所认为的),而且运动的概念只能应用于检验电荷,而不能应用于以太本身。后一事实曾导致相对论的形成。 ◎ 吴大猷( Tayou Wu )的《理论物理》(第四卷《相对论》) 广义相对论中自然包括了加速运动以及我们熟识的 Newton 引力理论的探讨。早在 1905 年, Einstein 便讨论到时钟在加速度坐标系以及在 Newton 引力场的性质的问题;但他的广义相对论,却经过许多的研讨,到 1915 年才完成。这理论不仅可说是划时代的,也可说是美丽的及深奥的。在狭义相对论中, Einstein 已澄清了时空度量的观念,由之导出了包含所有重要物理内涵的 Lorentz 变换方程式。在他的广义相对论中, Einstein 更进一步地讨论物理学中四维时空簇的几何性质。直到 Einstein 为止,物理学及哲学都基于日常的经验,将三维空间用 Euclid 几何来表示,看成为一自然的、天经地义的事情。甚至在狭义相对论中的四维时空,仍是 Euclid 几何(正确说法应为“赝 Euclid 几何”)。 Newton 自然而然地沿用 Euclid 几何的空间观念;为了解释太阳系中行星的运动,乃创立了他的“万有引力理论”。 Einstein 则引进了一个革命性的观点,认为描述物理现象的“物理空间”,不必是 Euclid 空间;它的几何性质,是应由空间的物质(或能量)分布来决定的。 Einstein 这种想法的数学表示,是一般的非 Euclid 几何( Riemann 几何)。至于广义的相对性原则的数学表示,则系指所有物理定律,在任意时空坐标变换下皆有协变性。这种变换性质的研究工具,即为张量微积分。 。。。。。。。 在狭义相对论中,相对论原理谓物理定律的数学形式,是不因惯性系空间的 Lorentz 变换而改变其形式的。换言之,在所有以等速作相对运动的坐标系中,物理定律均具有相同的形式。 在广义相对论中,上述的相对论原理,是被推广到任意相对运动。 。。。。。。。 在狭义相对论中,我们已知时间和空间,已不再如古典物理中所定义的互相独立无关的两个概念,二者组成了一个四维空间( Minkowski 世界)。。。。。。。那个空间是平直的。在一平直空间中,长度与时间距的度量,可用一有限(即非无限小的)长度的棒子或时钟来度量之。任意二惯性系间时空度量结果的关系,则是 Lorentz 变换。我们要注意的是, Lorentz 变换,是对一有限时空间距和无限小的时空问题,同样可以成立的。 Einstein 的广义相对论的出发点,是由物理学的四维时空的性质(或可以说几何)的重新检讨,以为物理学的四维空间,和数学上的抽象的空间不同。 。。。。。。。 直到 1905 年 Einstein 作上述的检讨以前, Euclid 空间一直被认为是描述物理定律的无可置疑的空间。 Einstein 是第一个指出:没有任何理由认为物理空间(即适合描述物理定律的空间)天经地义地必须是一种抽象空间;反之,物理空间应该是和物质有关的,而抽象的空间如 Euclid 的则否。这是 Einstein 的“引力”论的基本点。因为引用了 Euclid 空间,我们才必须作 Newton 的万有引力的假定来叙述行星的运动。但如我们适当地选择一个 Riemann 空间,则行星的运动将是在这空间中的“自由”运动(短程线)。 。。。。。。。 故从 Einstein 理论的观点, Newton 力学中所讨论的“一质点在 Euclid 空间中的一引力场运动”的问题,乃代以“ Riemann 空间中一自由质点的运动”的问题。
个人分类: 相对论|4123 次阅读|0 个评论
沈惠川译:Albert Einstein给Hugh Everett III的一封信
热度 1 ShenHuiChuan 2011-12-15 09:43
沈惠川译: Albert Einstein 给 Hugh Everett III 的一封信 Albert Einstein 沈惠川譯:Albert Einstein給Hugh Everett III的一封信 1943年6月11日 亲爱的Hugh: 人不可能是万能的和常胜的。但人可以通过坚持不懈的努力,克服重重困难以达到胜利的目的。 忠实于您的 A.Einstein AlbertEinstein给HughEverettIII的信的原文 AlbertEinstein给HughEverettIII的信的原文 June 11, 1943 Dear Hugh: There is no such thing like an irresistible force and immovable body. But there seems to be a very stubborn boy who has forced his way victoriously through strange difficulties created by himself for this purpose. Sincerely yours, A. Einstein Hugh Everett III 注:“There is no such thing like an irresistible force and immovable body. ”亦可译为“决不可能有体积(质量)力和固定物体这样的东西。”或“绝无可能存在无所不在的神力和一成不变的东西。”
个人分类: 量子力学|5118 次阅读|3 个评论
[转载]洪定国译:Albert Einstein给David Bohm的三封信
ShenHuiChuan 2011-12-15 09:38
洪定国译: Albert Einstein 给 David Bohm 的三封信 Albert Einstein AlbertEinstein给DavidBohm的三封信 Einstein的第一封信 1953年2月17日 亲爱的Bohm: 十分感谢您对我的小文章的迅速反映。当然,我本并不期望您同意我的观点。因为几乎没有谁会愿意放弃一项他已经付诸巨大劳动的事业。 我不打算详细答复您的信,虽然那是很值得的;我只想对于Born立场的诠释问题简短地谈点看法。 根据Born的观点,波函数的物理意义在于:它确定着种种几率(例如,各种脉冲值的几率)。仅当脉冲是独立于数学理论而由某种可行的测量加以定义时,这才是有意义的,而这种定义只能基于经典力学才能办到。例如,如果人们根据一个波函数计算一个束缚电子的脉冲,那么这结果并无可控制的意义,因为不存在作这类测量的的可能性(那怕近似地也没有)。然而,如果人们必须同一个至少暂时地近似自由的宏观物体打交道,人们就能够实验上确定(至少是近似地)它的脉冲(例如,利用两次相继的快速拍照,或利用雷达)。如果可以赋予Born诠释以任何意义的话,那么,其几率在Born理论中出现的脉冲,必须视为就是这样测量所得到的脉冲。可是,脉冲的经典(近似)测量(在我的例子中),是无需先撤除器壁再等待片刻就可极易实现的。因此,Born几率要有任何意义的话,它必须相对于这样测得的脉冲予以解释。 “结点”位置几率为零,确实排除了把这过程解释为严格字面意义上的一种运动,但这不会产生困难,因为实际过程只是近似地可描述为一种运动(这类似于气体对器壁上一个小部分的作用只是近似地可用压强概念来描述)。 关于在献给Born的文集中登载您的评论一事,我有点顾忌。理由是这样的:我给您寄了一份我的文稿复印件却没有给deBroglie寄去,这是出于避免在他面前显得自命不凡。因此,如果您的评论和我的文章一道发表,而又不给deBroglie这样做的机会,他可能会觉得那是我对他的不尊重。 如果您把我的文章与您的评论一起寄给deBroglie,并说明我同意这样做,那么,上述所顾忌的问题就不存在了。如果您这样做了之后,又收到了他对此的答复——那样,Born文集的编辑们就可以处理这件事了。我会认为这样做是合理的和正当的。 顺致敬礼! A.Einstein Einstein的第二封信 1954年10月28日 亲爱的Bohm: 要是我能以您所讲的方式帮助您的朋友Burge博士的话,我是会高兴的。但是,要把我写过的全部东西重新出版,这个想法是我难以承受的。您清楚地知道:即使那些论著在发表时是有价值的,但随着尔后科学的进展,它们已经失去了其实际的吸引力。您们的想法使我相当为难的理由就在于此。我知道我的有些著作已经用西班牙文出版了,我将另外给您邮寄一本来。 从来信得知您身体很好,并且得知我们的努力似乎是成功的。感到非常高兴。 跟您一样,最近几年我的大部分努力都花在完备的量子理论上。但是,在我看来,我们离问题的完满解决还相当遥远。我本人一直试图通过推广引力定律去接近这一目标。但是,我必须承认我未能找到一种方法来说明自然的原子特征。我认为,如果以场作为基本概念的客观描述是不可能的话,那么,就得找到一种完全避免连续统(连同空间与时间)的可能性。但是,这样一种理论中可以使用什么样的基本概念,我没有一丁点儿主见。 顺致敬礼与祝福! 您的A.Einstein Einstein的第三封信 1954年11月24日 亲爱的Bohm: 对于您必须从这样一个观点出发,我十分理解。在这方面,当您假设存在着一个无止境的微观结构及其所遵循的定律的序列时,您是同今日大多数物理学家一致的(尽管他们也许没有您走得那么远)。 我的本性不允许我追随这个总的发展,尽管这一发展预示了一系列令人难忘的经验发现,并为它们所证实。我并不相信微观定律与宏观定律,我只相信普遍严格有效的定律。我相信:这些定律是逻辑简单的;而且,对这种逻辑简单性的信赖乃是我们的最好向导。因此,从多于相对少的经验事实出发,是不必要的。如果自然的安排同上述信念不相吻合,那么,要更深入地理解它是全然无望的。 逻辑简单性作为一个向导,也可能是不可靠的。就是说,如果人们不是从正确的基本核心概念出发的话,例如,如果实在不可能描述为一种连续场,那么,即使结构定律具有可思议的最大逻辑简单性,我的全部努力还是不会有结果的。逻辑简单的场方程必然是非线性的;一个协调的场论不可能允许种种奇异性。这些事实使得在目前不可能从这个理论中作出可供经验检验的任何结论来。然而,这并未使我信服这个理论的不正确性。它只表明:我们今日的数学方法不足以作出一种判决。 这不是要对您作任何劝说。我只是想向您表明我的态度的来由。利用半经验的方法,人们永远得不到空的空间的引力方程。对于这种实感,我有着特别强烈的印象。在这里((对称)张量场的最简单的相对论场定律),唯独逻辑简单性的观点才是有裨益的。 顺致敬礼! 您的A.Einstein 注:以上三信收录于洪定国的“论Einstein与Bohm之间的学术关系(附他们之间的六封通信)”(大自然探索,1987,6(1)159-169)之中。 David Bohm
个人分类: 量子力学|2734 次阅读|0 个评论
[转载]许良英等译:Albert Einstein给Max Born的十三封信
ShenHuiChuan 2011-12-15 09:33
许良英等译: Albert Einstein 给 Max Born 的十三封信 Albert Einstein AlbertEinstein给MaxBorn的十三封信 Einstein的第一封信 1919年6月4日 你告诉我,按照朋友Oppenheim的说法,我被认为已经作出了只有天晓得的惊人发现。但这完全不是事实。对于我在Grunewald湖告诉你的那件事,我曾向他作过谨慎的提示,在他的丰富的想象中竟可怕地膨胀起来了!量子论给我的感觉同你的非常相像。人们实在应当为它的成功而感到羞愧,因为它是根据耶稣会的格言“不可让你的左手知道你的右手所做的事”而获得的。 Einstein的第二封信 1920年1月27日 Pauli所反对的不仅是Weyl的理论,而且也反对其他任何人的连续区理论。甚至还反对把电子当作奇点来处理的理论。我现在仍然像从前一样地相信,人们必须寄希望于用微分方程所作的过分确定,使得解本身不再具有连续区的特征。但是怎样才能做到这一点呢? 关于因果性问题也使我非常烦恼。光的量子吸收和发射究竟能以完全的因果性要求的意义去理解呢,还是一定要留下一点统计性的残余呢?我必须承认,在这里,我对自己的信仰缺乏勇气。但是,要放弃完全的因果性,我会是很难过的。我不理解Stern的诠释,因为我搞不懂他所说的自然界是“易领悟的”这句话的真正意义。(严格的因果性是否存在的问题是有确定意义的,即使对这问题可能永远没有一个明确的答案也如此。)Sommerfeld的书是好的,可是我必须坦率地说,由于只有天晓得的那种下意识的理由,这个人所说的,在我听起来不像是真实的。 Einstein的第三封信 1924年4月29日 Bohr关于辐射的意见是很有趣的。但是,我决不愿意被迫放弃严格的因果性,而对它进行比我迄今所已进行过的更强有力的保卫。我觉得完全不能容忍这样的想法,即认为电子受到辐射的照射,不仅它的跃迁时刻,而且它的方向,都由它自己的自由意志去选择。在那种情况下,我宁愿做一个补鞋匠,或者甚至做一个赌场里的雇员,而不愿做一个物理学家。固然,我要给量子以明确形式的尝试再三失败了,但是我决不放弃希望。况且即使永远行不通,总还有那样的安慰:这种不成功完全是属于我的。 Einstein的第四封信 1926年12月4日 量子力学固然是堂皇的,可是有一种内在的声音告诉我,它还不是那真实的东西。这理论说得很多,但是一点也没有真正使我们更加接近于“上帝”的秘密。我无论如何深信上帝不是在掷骰子。三维空间中的波动,它们的速度是受势能(比如橡皮筋)制约的。……我正在进行非常吃力的工作,要从已知的广义相对论的微分方程中导出当作奇点来看待的质点的运动方程。 Einstein的第五封信 1944年9月7日 你还记得大约二十五年前的一件事吗?那时我们一道乘电车赶到国会大厦,深信我们能够有效地帮助那里的人们转变为忠实的民主主义者。对于我们都已是四十来岁的人来说,我们多么天真呀。当我想起这件事,我不禁要发笑。我们两人都领会不到,脊髓会比脑髓本身起着远为重要的作用,而且它的支配力量要大得多。 我现在不得不回忆起这件事,以免我重复那些日子里的悲剧性的错误。我们实在不应当为下面的事感到惊奇:科学家(他们中的绝大多数)对这条规律并不例外,如果他们有所区别,那不是由于他们的推理的力量,而是由于他们个人的气质,比如像Loue那样的情况。看到他在强烈的正义感影响之下,怎样一步一步地使自己同那些凡夫俗子的传统决裂,那是有意思的。医务人员对伦理规范方面的成就已经少得惊人,而要期望那些具有机械的和特殊的思想方法的纯粹科学家产生伦理影响,那更要少得多了。你要给NielsBohr分派合适的圣职,当然是完全正确的。因为有这样一种希望:他会把他的教士的那一方面从物理学分离出来,而以另一种方式使用它。撇开这一点不说,从这样一种事业中我还是指望不到多少东西。对于什么是应该的和什么是不应该的这种感情,就像树木一样地生长和死亡,没有任何一种肥料会使它起死回生。个人所能做的就是做出好榜样,要有勇气在风言风语的社会中坚定地高举伦理的信念。长期以来,我就以此律己,取得了不同程度的成绩。 我以巨大的兴趣读了你反对Hegel主义的讲话。它向我们搞理论的人表现出donQuijote的特色,或者我是不是该说引诱者的特色?只要这种罪恶(倒不如说,这种坏事)在哪里统统消失,哪里的顽固的反对派就占统治。因此我深信,“犹太人的物理学”是杀不绝的。而且我必须坦率地说,你的议论使我想起了美妙的格言:“青年***——老年顽固”,尤其是当我想起了MaxBorn的时候。但是我不能真的相信你已经完全地、老老实实地奋斗出一条通向后一范畴的道路。 在我的科学期望中,我们已成为对立的两极。你信仰掷骰子的上帝,我却信仰客观存在的世界中的完备定律和秩序,而我正试图用放荡不羁的思辨方式去把握这个世界。我坚定地相信,但是我希望:有人会发现一种比我的命运所能找到的更加合乎实在论的办法,或者说得妥当点,会发现一种更加明确的基础。甚至量子理论开头所取得的伟大成就也不能使我相信那种基本的骰子游戏,尽管我充分意识到我们年轻的同事们会把我这些解释为衰老的一种后果。毫无疑问,有朝一日我们总会看到谁的本能的态度是正确的。 Einstein的第六封信 1947年3月3日 我不能为我在物理学上的态度,提出一个会使你认为完全有理的论证。我当然承认,统计的处理有相当程度的有效性,而这种处理对于现存形式体系这个框架的必要性,还是你首先清楚地认识到的。我不能认真地相信它,因为这种理论无法符合这样的原则,即物理学应当阐明时间和空间中的实在,而用不着超距的鬼怪作用。不过我还未能坚定地相信真的能够用一种连续场论来达到,虽然我已经发现这样做的一条可能道路,而且这条道路到目前为止好像是十分合理的。计算的困难非常之大,以致在我自己能够完全相信它之前很久,我就要去啃泥土了。但是我完全相信,终于会有人提出一种理论,在这理论中用定律联系起来的对象,并不是几率,而是所考查的事实,就像直至最近以前习惯上认为理所当然的那样。然而我不能为这种信念提供出逻辑的根据,而只能拿出我的小指来作证,也就是说,在我自己的皮肤之外,我提供不出凭据,能够要求得到无论怎样的尊重。 Einstein的第七封信 1948年3月18日 在你所引用的我的信中,有几个误解的地方,这大概是由于我的字迹潦草;你从我的旁注中会看出,这些地方是歪曲了原意的。但是即使已经印了出来,也不是什么大灾难,就是在这样的情况下,“纸的耐性”也还一定保持着。我用几个尖酸的旁注进行了报复,这会逗你喜欢;因为我相信你是欣赏粗鲁的语言的,这样毕竟也就适应了苏格兰的气候。 我们不能在一起悠闲地度过一些时间,这实在有点遗憾。由于我实在非常了解你为什么要把我看作是一个不悔改的老罪人。但是我相信你并没有了解我是怎样走过我这条孤独的道路的;即使没有丝毫的可能性会使你赞同我的看法,也肯定会让你觉得有趣。我要把你的实证论的哲学看法撕得粉碎,以此来自娱。但是看来,在我们活着的时候,这是不可能实现的。 Einstein的旁注: 1. 我完全明白,在可观测量方面并不存在因果性,我认为这种认识是确定无疑了的。但是在我看来,不应当由此下结论说理论也必须以统计学的基本定律为基础。尽管可能是观测工具的(分子)结构引起可观测量的统计特征,但是,最后要使理论基础摆脱统计概念,那是合适的。 2. 我当然同意这一点。 3. 唯一事关紧要的是基础的逻辑简单性。 4. 脸红,Born,脸红! 5. 呸! Einstein的评注: 在你的文稿后面部分没有旁注的地方,你不可解释为同意。整个东西是相当草率地想出来的,为此,我必须恭敬地给你一个耳光。我正想要解释,当我说我们应当尽力掌握物理实在时,我所指的是什么意思。关于物理学的基本公理究竟是什么,我们大家都有一些想法。量子或者粒子当然不在此例;场,按照Faraday和Maxwell的见解,也许可能是的,但不一定。……可是,如果人们抛弃了这样的假定:凡是在空间不同部分所存在的都有它自己的、独立的、真正的存在;那么,我简直就看不出想要物理学进行描述的究竟是什么。因为,被认为是“体系”的东西,归根结底不过是一种约定,而且我也看不出怎么能够以这样的方式来客观地划分世界,使我们能够对世界的各个部分进行陈述。 Einstein的第八封信 1948年4月5日 我寄给你一篇短论文,由于Pauli的建议,我已把这篇论文寄到瑞士去付印。我请求你克服你很长时期以来在这方面的厌恶情绪来读这篇论文,就像你还没有形成你自己的任何见解,而是一位刚从火星上来的客人一样。并不是由于我认为这篇东西会比你已知道的任何别的文章能更好地帮助你了解我的主要动机。可是,它倾向于表达消极方面的,而不是像我用相对论性群来表达一个有启发性的极限原理时所具有的那种信心。无论如何,我愿意以极大的兴趣来听取你的反论证,当然,这些反论证该超出如下的明显事实:量子力学是到目前为止唯一能够概括光和物质的波动——粒子特征的。 Einstein的第九封信 1950年9月15日 量子理论中我称为描述的不完备性,在相对论中并无类似的东西。简言之,那是波函数不能描述单个体系的某些性质,而这种体系的“实在性”是我们当中谁也不怀疑的(比如一个宏观的参数)。 到此为止,你也许不会反对。但是你大概会采取这样的立场,认为完备的描述是毫无用处的,因为对这个例子不存在数学的关系。我不是说我能够驳倒这种观点。但是我的本能告诉我,对于关系的完备的公式表示是同它的实际状态的完备描述紧紧相连的。我确信这一点,尽管到目前为止,成功的希望是很少的。我也相信,只要概念用得恰当,就像在热力学的那种意义上一样,目前流行的这种公式表示是正确的。我并不希望说服你或者别的任何人——我只是希望你了解我的思路。 从你来信的最后一段,我看到你也认为量子理论的描述(关于系综的)是不完备的。但是你毕竟相信,按照实证论的格言“存在就是被知觉”,对于完备描述的(完备的)定律并不存在。好罢,这是纲领性的态度,而不是知识。这就是我们的态度真正分歧之所在。暂时,在我的观点上我是孤单的——正像Leibniz对于Newton理论的绝对空间那样。 Einstein的第十封信 1953年10月12日 不要为你朋友的书而失眠。每个人都做他认为是对的事,或者用决定论的语言来说,都做他所必须做的事。如果他居然使别人信服了,那是别人自己的事。我自己对我的努力固然感到满足,但是,要像一个老守财奴保护他辛苦攒来的几个铜板那样,把我的工作当作我自己的“财产”来保护,那我并不认为是明智的。我对他毫无怨尤之意,对你当然也不会有什么意见。归根结底,我用不着去读这种东西。 为了那本要献给你的文集,我写了一首关于物理学的小小的儿歌,这篇东西稍稍惊动了Bohm和deBroglie。它的用意是要论证你的关于量子力学统计诠释的绝对必要性,这种必要性Schrodinger最近也试图避免。也许它会给你一些乐趣。说到头,要对我们自己吹起来的肥皂泡负责,这似乎是我们的命运。这很可能就是那个“不掷骰子的上帝”所设计的,他使我受到了那么厉害的怨恨,这种怨恨不仅存在于量子理论家中间,也存在于无神论教会的忠实信徒中间。 Einstein的第十一封信 1953年12月3日 我首先必须说,你的观点使我感到诧异。因为我认为,只要有关的deBroglie波长同其余的有关的空间度量相比是足够小的,那就可以指望同经典力学近似地一致。…… 人们可以不担风险地承认这样的事实:按照这种概念,认为对于单个体系的描述是不完备的;只要人们假定,对于单个体系的完备描述,并没有对应的、决定着这体系在时间中发展的完备定律。 这样,人们就用不着去纠缠Bohr的诠释,他认为离开可能出现的主体而独立的实在是不存在的。 尽管这种概念能自圆其说,我可不相信它在这里会站得住脚。但是我坚持这样的看法:这是唯一能够公平对待几率论的量子理论结构的概念。 Einstein的第十二封信 1954年1月1日 你的概念是完全站不住脚的。要求宏观体系的波函数对于宏观坐标和动量来说必须是“狭窄”的,这同量子理论的原理是不相容的。这种要求同波函数的叠加原理不可调和。同这一点相比,下面的反对意见(它几乎适用于所有的情况)还只有次要的意义:Schrodinger方程在时间上导致“狭度”的扩散。 你声称后者不能用于我所考查的那种体系。但是我相信,这个结果(从一般问题的观点来看并不是很重要的)是以错误的结论为根据的。我不想参与任何进一步的讨论,有如你所相像的那样。我满足于把自己的意见清楚地表达出来。 Einstein的第十三封信 1954年1月12日 谢谢你寄来你给皇家学会的论文,从这篇论文中我看出,你完全没有搞清楚那个对我最关紧要的论点。由于我不愿意以击剑名手这类角色出现在大庭广众之前,但是另一方面我又想给你答复,于是随信附寄上我所能做的这种回答。这样,也许还有一线希望,希望你会平心静气地把问题仔细考虑一下,而这种希望已经几乎烟消云散了。 注:以上Einstein给Born的十三封信录自许良英等编译的《爱因斯坦文集》(第一卷),商务印书馆,1977。许良英等译自《TheBorn-EinsteinLetters》,Walker,1971。 Max Born
个人分类: 量子力学|1955 次阅读|0 个评论
[转载]许良英等译:Albert Einstein给Erwin Schrodinger的四封信
ShenHuiChuan 2011-12-15 09:25
许良英等译: Albert Einstein 给 Erwin Schrodinger 的四封信 Albert Einstein Einstein的第一封信 1926年4月26日 多谢你的来信。我确信,通过你的关于量子条件的公式表述,你已作出了决定性的进展;我同样确信,Heisenberg-Born的路线已经走向歧途。在他们的方法中,体系的可加性条件不能得到满足。 现在,我发现一个必须考虑的事实,它几乎可以排除元球面波的存在,这样,我差不多相信,我建议的实验将得到否定的结果。原则上,它可以下列方式最简单地实现: 极隧射线(方向R)+(1/10)mm的光栅+干涉装置+聚焦于无穷的望远镜 发射方向R对应于望远镜焦平面上的点。由一个粒子沿R方向发射的射线,要么射到望远镜,要么射不到望远镜(二者必居其一);当粒子速度和程差之间有适当的关系时,干涉必定会被破坏,可是不相信这一点。光栅的衍射像一种扰动那样起作用,但没有强到足以破坏实验的证明能力。 Einstein的第二封信 1928年5月31日 我想你已经击中问题的要害。不错,以任意大范围的循环变数来限制动量差的数值这样的遁词确是很巧妙的。但是,测不准关系的这样一种诠释不是很清楚的。正因为它是为自由粒子而设想出来的,所以它自然仅仅适用于那种情况。你主张p、q的概念应当放弃,如果它们只能具有这样一种“动摇不定的意义”的话。这在我看来是完全合理的。Heisenberg-Bohr的绥靖哲学——或绥靖宗教?——是如此精心策划的,使它得以向那些信徒暂时提供了一个舒适的软枕。那种人不是那么容易从这个软枕上惊醒的,那就让他们躺着吧。 但是这种宗教对我的影响是极小的,所以在一切情况下我总是 不说:E和v, 而宁可说:E或v; 而且实际上:不是v,而是E(它才是终极实在的)。 但是,在数学上我还看不出眉目来。我的脑子现在是太疲乏了。如果你乐意再来看我一次,那是你的美意,我当感激不尽。 Einstein的第三封信 1939年8月9日 现在谈物理学。我仍然确信物质的波动表示是状态的一种不完备的表示,尽管实际上已证明它本身是多么有用。揭示这一点的最妙的办法,就是你所提出的关于猫(同爆炸结合在一起的放射性衰变)的考查。在一定的时间,一部分波函数对应于活猫,而另一部分波函数却对应于被炸得粉身碎骨得猫。 如果人们企图把波函数诠释成为一种关于状态(同是否被观测到无关)的完备描述,那么这不过是意味着:在特定时间,猫既不是活的,也没有被炸得粉身碎骨。但是,无论是哪种情况,都是可以通过观测而实现的。 如果人们拒绝这种诠释,那就必然要假定:波函数并不表示实在的状态,而是表示我们关于状态知识的容量。这是Born的诠释,今天大多数理论家大概都赞同的。可是这样一来,那些能够用公式列出的自然规律,就不能应用于某种存在物随着时间而进行的变化,而只能应用于我们正当期望的容量的时间变化。 这两种观点在逻辑上都是无可非议的;但是我无法相信其中究竟哪一种观点将会最终得到证实。 也有这样的神秘主义者,他认为,凡是要探究某种同观测无关而独立存在着的东西,也就是说要究问猫在对它进行观测之前的一个特定时刻是否活着这样的问题,都是不科学的,应该加以禁止(Bohr)。由此,这两种诠释就融合成为一种温和的迷雾;我觉得它并不比上述任何一种诠释要好些,在这两种诠释中都采取了实在概念这种观点。 我仍然确信,这种最值得注意的情况之所以会发生,是由于我们还没有得到一种关于实在状态的完备的描述。 当然,我承认,关于单个状态的这样一种完备的描述不是全部都可以观测的,然而从一种合理的观点来看,人们也决不能作这样的要求。—— 我写这封信给你,并不幻想要说服你,唯一意图是让你了解我的观点,而这种观点已经使我陷于十分孤立。我也已经把它带到一种可以说是真正数学理论的地步,不过对它的检验自然是很困难的。—— Einstein的第四封信 1950年12月22日 在当代物理学家中(除了Laue),唯有你才了解到人是不能回避“实在”这一前提的——只要人是诚实的话。多数人简直不知道他们正在同实在——作为某种同实验证明无关而独立的实在——玩弄着多么危险的游戏。他们或多或少相信:量子理论提供了一种关于实在的描述,甚至还是一种完备的描述。但是,你的放在箱子里的放射性原子+Geiger计数器+放大器+炸药装置+猫这样一个体系,却巧妙地反驳了这种观点;在这体系中,体系的波函数是把话猫和炸得粉身碎骨的死猫这两种状况都包含在内。猫的状态是不是只是在一个物理学家在某一时刻察看情况时创造出来的呢?实际上,谁也不怀疑猫的存在与否是同观测动作无关的。但是这样一来,用波函数所作的描述就肯定是不完备的了,而且完备的描述必定是存在的。如果人们(在原则上)把量子理论看成是最后完成了的,那么人们就必须相信,完备的描述是没有什么意思的,因为并无可供描述的规律。要真是这样,那么,物理学就只能引起零售商和工程师的兴趣;这一切就不过是一种可怜而拙劣的工作。 你很正确地强调指出,完备的描述不能建立在加速度概念之上;而在我看来,它也同样不能建立在粒子概念之上。在我们这行业的工具库里,只剩下了场的概念;但是,这一概念究竟能否坚持下去,只有鬼才知道。我想,只要人们没有真正可靠的理由来反对,就值得坚持这一点,即坚持连续区这一概念。 但是在我看来,理论的原则上的统计性,肯定不过是描述不完备的后果。这里并不涉及理论的决定论的性质;只要人们还不知道要确定“初态”(起始式样)时需要给予些什么,理论的决定论的性质当然就是一个完全模糊的概念。 要我们看到自己还是处在襁褓时代,那是有点难受的;因此,人们拒绝承认(即使是对自己)它,也就不足为奇了。 注:以上Einstein给Schrodinger的四封信录自许良英等编译的《爱因斯坦文集》(第一卷),商务印书馆,1977。许良英等译自《Schrodinger,Planck,Einstein,Lorentz:BriefezurWellenmechanik》,Springer-Verlag,1963。 Erwin Schrodinger
个人分类: 量子力学|2343 次阅读|0 个评论
沈惠川译:Albert Einstein给Louis de Broglie的两封信
热度 1 ShenHuiChuan 2011-12-14 11:19
沈惠川译: Albert Einstein 给 Louis de Broglie 的两封信 Albert Einstein Einstein的第一封信 1953年5月 亲爱的deBroglie: 您建议以如下形式来表示物理学中的实在(完备描述): 在此乘积中,一个因子代表粒子的结构,另一个代表波的结构。毫无疑义,其中包含着的双重结构的观念是令人满意的而且是我们在实验上可以接受的。这才真正是一个新的理论,而不是对旧理论的修修补补。我不明白的是,您是否认为,是整个乘积满足Schrodinger的原始方程式,抑或仅仅是该乘积中的“波动”因子或者两个因子都应当具有这种属性? 如果这一乘积被换成是某种函数的和的话,您的目标仍可达到。用一个唯一的函数(一个组成部分)来最后表示一切只是必要的,因为也可以用几个组成部分的和来表示这一切。 您很清楚,这种选择上的任意性对于理论家来说是很大的不幸,因为它会使我们忐忑不安,所以我要寻找一种原理在形式上来约束它。现在我已顺利地克服了这种复杂性,也许用的是完全人工的方法。 但是,我们两人都持这种观点,即应当尽可能地捍卫对物理学中的实在的充分客观的诠释。 致以 友好的敬礼! 您的A.Einstein 译注:此信中部分内容已被沈惠川的“德布罗意的非线性波动力学” 所引用。 Einstein的第二封信 1954年2月15日 亲爱的deBroglie: 昨天我读到了我久仰的您的那篇题名为“量子物理是非决定论的吗?”文章的德文译文,您的思想的鲜明性使我尤为高兴。令人惊讶的是,当我看到一切都是用母语表达出来时,我仍觉得它是那么地优美和生动! 今天我给您写这封信,是源于一个特别的原因。我想与您扯一下,是何事情形成了我的方法论。确实,我可能仿佛是沙漠中的一种鸟——鸵鸟,总是将脑袋埋入相对论的沙土中,以避免与可恶的量子打照面。事实上,我与您一样,深信有必要探索一些基本的东西;然而眼下采取统计形式的量子力学却将这一必要性巧妙地掩盖了起来。 但是,我很久之前就已确信,不可能根据从经验得来的物理学对象的某种运动,用思辨的方法取得这些经过脑力劳动后便可提升人类智力的基本东西。这并非是我的无所作为之说,而是根据我多年努力对引力论的实践得到的结论。引力场方程式的发现只是基于纯粹形式上的原理(一般协变性),亦即基于自然法则赖以建立的有最大可能的逻辑简单性。由于,显而易见,引力论只是迈向发现包括磁场在内的更一般的最简单定律的第一步;所以,开始我认为,在获得解决量子问题的希望之前,应当沿着这条逻辑路线走到底。正是源于如此,我才成了“逻辑简单性”的狂热信奉者。 的确,现代物理学家们大多认为,通过这种途径是不可能到达原子和量子结构理论的。也许他们在这一问题上是正确的。可能根本就不存在量子场论。在这种情况下,我的努力就不可能解决原子理论的问题,或许甚至连我们接近它们也不可能。然而,这种否定论在其本身的结构上只有直观的根据,而无客观的根据。此外,我看不到除了逻辑简单性还有任何一条阳光大道。 这只是为了说明鸵鸟政策。我想,过去的一切从心理学的观点来讲可能会使您感兴趣,更何况您已再次丧失了对统计学方法终极价值的信念。 致以 诚挚的敬礼! 您的A.Einstein 译注:“量子物理是非决定论的吗?”的法文原版题名为“Laphysiquequantiquerestera-t-elleindeterministe?”(Revued’histoiredesSciencesetdeleursapplications,V,1952,p289)。后,deBroglie又与J.-P.Vigier合作,仍以“Laphysiquequantiquerestera-t-elleindeterministe?”为书名,于1953年在Gauthier-Villars出版社出版。 Louis de Broglie
个人分类: 量子力学|3613 次阅读|1 个评论
沈惠川译:Louis de Broglie给Albert Einstein的信
热度 2 ShenHuiChuan 2011-12-14 11:12
沈惠川译: Louis de Broglie 给 Albert Einstein 的信 Louis de Broglie 1954年3月8日 尊敬的Einstein先生: 拜读和回味您的来信是我深感兴趣的事。来信支持我继续更加深入研究我早在1927年就已提出的那些模糊的设想。您知道,现在我正在同几位青年助手共同研究,如何更加准确地说明和拓展这些概念;而且在这方面业已取得某些我认为是鼓舞人心的成果。 但是,您十分清楚,依然还有一些远未解决的重大难题。然而,我仍然认为,目前采用的统计诠释是“不完备的”,应当探索能够证明在量子力学中由统计规律造成的“波粒”二象性的精确的时空形式。 您在来信中谈到您对量子问题的态度和对“逻辑简单性”方法的信念,这引起了我的深思。确实,我认为,那些使您取得广义相对论和统一场论辉煌成就的普遍逻辑关系,在将来可以使人们更好地理解量子和波粒二象性的意义。 在我当前的研究工作中,我产生了这样的想法,即为了取得波粒二象性的概念,应当发展建立在非线性方程式上的量子力学,其中通常的线性方程式只是在一定的条件下才是近似正确的。然而,为了在这方面取得进展,必须在准确地说明这些未知的非线性方程式的类别上得到顺利的发展。这是一个非常困难的课题;而我看不出,仅仅依靠物理学的成果,怎样能够来解决它。我同意您的看法,解决这一课题,只能采取类似您取得广义相对论方程式的方法,即运用逻辑简单性的思想…… 我再次万分感谢使我受益匪浅的您的珍贵来信,感谢您对我的最新工作所给予的巨大支持。 Einstein先生,请接受我诚挚的敬意。 LouisdeBroglie Albert Einstein
个人分类: 量子力学|3031 次阅读|3 个评论
究竟是谁说:“Let Einstein be”?
liwei999 2010-12-6 16:53
立委按:镜兄点名了,还是说几句吧。请立委处理的段落,并无异议,放下。后一段则有说法。如果各位的引用(包括标点)是确切的话,即: It did not last. The devil, howling Ho! Let Einstein be ! restored the status quo ,就绝无上帝遣出爱因斯坦的可能:语言学上通不过。这段根本就没提上帝,何来上帝说?尽管诗文是可以出格的(叫 poetic license),也断无如此的无理。这句在语言结构上是如此清晰,我的自动语言分析器也会轻易解构: 恢复原状 的是魔鬼(主语), 吼叫着让老爱来吧 ,是ING伴随情况状语,可以理解为魔鬼恢复原状所使用的工具是爱因斯坦。句法语义的语言学分析之后,剩下的就是各自理解的问题了。窃以为,镜兄的理解最贴切,而且高妙( 于是自然又回到了自然, 及其诠释)。二傻的严复式翻译( 亢龙有悔,否极泰来,氤氲蔽日,斗转星移。撒旦震怒,老爱出马,黯者复黯,明者复明! ),雅有余而信不足,颇具古风,也自有其妙,可居第二。刘译韩译都是跛脚的,而且太白太陋(就恢复到这个样子等),不适合墓志铭的翻译氛围。立委胡评,如有冒犯,各位老师包涵。 究竟是谁说:Let Einstein be? 作者: mirror 日期: 12/05/2010 23:21:54 这是科网刘老师的博文 究竟是谁说:Let Einstein be? 。顺着链子,又看到了刘老师精彩的考证 牛顿墓志铭:Let Newton be? 。本来是随便捧个场,说了两句话。但是又看了看文章,发觉事情好象并不是谁说了的那么简单。是教授们都错了呢?还是镜某想歪了呢? Nature and Nature's laws lay hid in night. God said, Let Newton be! and all was light.的说法中,采用了英文诗的写法,镜某评价不了,尤请立委处理。刘老师给出的多种译法中也没有什么优劣之分,不过是喜欢哪个罢了。天不生牛顿万古长如夜也是个温故知新。 问题是后来的 It did not last. The devil, howling Ho! Let Einstein be ! restored the status quo.韩刘两位就谁说的Ho! Let Einstein be !问题,官司打到了科网上。 两位共同的问题是如何理解restored the status quo。不久,黑暗再次降临。 魔鬼咆哮道:嚯!让爱因斯坦降生吧, 于是一切又成为光明。是刘译,光明并不长久,魔鬼又在咆哮。上帝说:呵!让爱因斯坦降生吧,就恢复到这个样子是韩译。 也许镜某与John Collings Squire有相似的思路,镜某以为刘老师错了两处,韩老师也错了两处。镜某的理解(翻译)是:可好景不长。魔鬼咆哮道:嚯!让爱因斯坦降生吧, 于是自然又回到了自然。 如果这段话是John Collings Squire所说,那么就要考察他的政治立场,所谓的政审。政审的结果,很有可能由于他的意识形态,导致他讨厌上帝的说法。因此,让爱因斯坦降生吧一定是魔鬼说的。对应着上帝的意识,老牛绝对的时空间说法,老爱相对论的说法无疑是一种魔鬼的声音。这个声音让自然回归到了自然。从这个理解上看,二傻的译法亢龙有悔,否极泰来,氤氲蔽日,斗转星移。撒旦震怒,老爱出马,黯者复黯,明者复明! 无疑是很高明了。 这里又出现了时空的问题。4维空间在3维里面的投影的呢?吴嫂问了这个问题。镜某以为飞矢不动悖论的化解方法在于此。3维空间在2维里面的投影比较好理解。不能一个球投成一个圆了,很多在球体里的运动,投影过去就变成静止的了。比如沿着投影光线的运动投在投影平面上就是个静止的点。 自然回归到了自然如何理解呢?时间空间在牛顿那里是人(上帝)的理性,是非物质性的存在。这样使人类明白了物理。而到了老爱的时代,时间空间又被赋予了物质的属性,很多事情又在高档次上不明白了。至少对于大众而言,今天的物理不如牛顿时代明白了。 ---------- 就是论事儿,就事儿论是,就事儿论事儿。
个人分类: 镜子大全|4382 次阅读|4 个评论
不朽才是永恒,是袈裟还是岩石?(岩石组图)
wangxh 2010-11-20 16:57
学了地质干了没有几年,但对岩石还是情有独钟的。偶尔发现了一些石头,觉得很有趣,拍下来上课用,还可以做个留念。不过有些不认识,请行家里手教俺一教哦。 1. 看看这两块,是袈裟还是岩石,叫啥名? 2. 这叫什么岩石?还是化石? 3. 从哪来的?不知道,但知道在哪里看到的,请看: 4. 在地质之角的北端,发现了七石之阵,什么意思、什么含义俺统统不知道,更参不透。但看到了两块石上刻着字,又教育了俺一把。 A hundred times every day I remind myself that my inner and outer live are based on the labors of other men, living and dead and that I must exert myself in order to give in that same measure as I have received and am still receiving.
个人分类: 未分类|3648 次阅读|5 个评论
爱因斯坦大脑研究进展与信息分析报告
xupeiyang 2010-1-4 15:38
爱因斯坦大脑研究 http://www.gopubmed.org/web/gopubmed/1?WEB01eots5sgxboqoIwI1pI0 Einstein's Brain 19 documents semantically analyzed Top Years Publications 1999 5 2009 3 2001 2 2008 1 2007 1 2006 1 2004 1 1998 1 1996 1 1992 1 1985 1 Top Countries Publications USA 9 France 1 Australia 1 Argentina 1 Japan 1 Top Cities Publications Charleston 1 Tallahassee 1 Gif-sur-Yvette 1 Sydney 1 Buenos Aires 1 St. Louis 1 Tucson 1 Portland 1 Jackson 1 New York 1 Birmingham, USA 1 Osaka 1 Top Journals Publications Lancet 3 Med Hypotheses 2 Ann Ny Acad Sci 2 Exp Neurol 2 Plos One 1 Front Evol Neurosci 1 Bull Mem Acad R Med Belg 1 J Clin Exp Neuropsychol 1 Brain Res Rev 1 Exp Gerontol 1 Nature 1 J Neurosci 1 Neurosci Lett 1 1 2 3 ... 8 Top Terms Publications Humans 13 Brain 8 Physics 7 Famous Persons 7 Cerebral Cortex 6 Intelligence 5 Neurons 4 Aged 4 Gravitation 4 Animals 3 Models, Neurological 3 Middle Aged 3 Semicircular Canals 3 Particle Accelerators 3 Acceleration 3 Evaluation Studies as Topic 2 Thinking 2 Neuroglia 2 European Continental Ancestry Group 2 Optics 2 1 2 3 ... 8 1 2 Top Authors Publications Merfeld D 2 Angelaki D 2 Yuan T 1 LeBihan D 1 Summers F 1 Henry J 1 Phillips L 1 Crawford J 1 Kliegel M 1 Theodorou G 1 Rajkowska G 1 Colombo J 1 Reisin H 1 Miguel-Hidalgo J 1 Lipton R 1 Barzilai N 1 Rossetti L 1 Wei M 1 Hameroff S 1 Seitz J 1 1 2 http://sciencenow.sciencemag.org/cgi/content/full/2009/417/1 Closer Look at Einstein's Brain By Michael Balter Science NOW Daily News 17 April 2009 When a rare genius like Albert Einstein comes along, scientists naturally wonder if he had something special between his ears. The latest study of Einstein's brain concludes that certain parts of it were indeed very unusual and might explain how he was able to go where no physicist had gone before when he devised the theory of relativity and other groundbreaking insights. The findings also suggest that Einstein's famed love of music was reflected in the anatomy of his brain. When Einstein died in 1955 at Princeton Hospital in New Jersey, his brain was removed by a local pathologist named Thomas Harvey, who preserved, photographed, and measured it. A colleague of Harvey's cut most of the brain into 240 blocks and mounted them on microscope slides. From time to time, he sent the slides to various researchers, although few publications resulted. Harvey, who moved around the United States several times in the course of his career, kept the jar containing what remained of the brain in cardboard box. Finally, in 1998, Harvey--who died in 2007--gave the jar to the University Medical Center of Princeton, where it remains today. The first anatomical study of Einstein's brain was published in 1999, by a team led by Sandra Witelson, a neurobiologist at McMaster University in Hamilton, Canada. Working from Harvey's photographs, which were all that remained of the whole brain, Witelson's team found that Einstein's parietal lobes--which are implicated in mathematical, visual, and spatial cognition--were 15% wider than normal parietal lobes. The team also found other unusual features in the parietal region, although some of these were questioned by other researchers at the time. One parameter that did not explain Einstein's mental prowess, however, was the size of his brain: At 1230 grams, it fell at the low end of average for modern humans. Now Dean Falk, an anthropologist at Florida State University in Tallahassee, has taken another crack at the brain. Working from the same photographs and comparing Einstein's brain with a set of 25 previously published photographs and measurements of brains from cadavers, Falk claims to have identified a number of previously unrecognized unusual features in Einstein's brain. They include a pronounced knoblike structure in the part of the motor cortex that controls the left hand; in other studies, similar knobs have been associated with musical ability. (Einstein had played the violin avidly since childhood.) Like Witelson's team, Falk found that Einstein's parietal lobes were larger; comparing the photographs of Einstein's brain with a second previously published set of 58 control brains, Falk also identified a very rare pattern of grooves and ridges in the parietal regions of both sides of the brain that she speculates might somehow be related to Einstein's superior ability to conceptualize physics problems. Indeed, during his lifetime, Einstein often claimed that he thought in images and sensations rather than in words. Einstein's talent as a synthetic thinker may have arisen from the unusual anatomy of his parietal cortex, Falk concludes in her report in press in Frontiers in Evolutionary Neuroscience . Yet Falk concedes that her interpretation is still hypothetical. Marc Bangert, a neuropsychologist at the Max Planck Institute for Human Cognitive and Brain Sciences in Leipzig, Germany, seconds that reservation, saying, It is very speculative, but this is what one has to deal with given the data available, some old photographs. Frederick Lepore, a neurologist at Robert Wood Johnson University Hospital in New Brunswick, New Jersey, says that Falk appears to have accurately identified a number of new features in the physicist's brain, and he finds the correlation between the motor cortex knob and Einstein's violin training to be persuasive and intriguing. Nevertheless, Lepore says, he is uneasy with the suggestion that Einstein was a parietal genius who thought strictly in images and sensations, citing among other evidence his superior school grades in Latin and the sciences and mediocre marks in art and geography. Related site The story of Einstein's brain, by Frederick Lepore ( skip to comments for this article ) 相关研究论著: documents Title: Relativity theory and time perception: single or multiple clocks? PMID: 19623247 Related Articles Authors: Buhusi, C , Meck, W H Journal: PLoS One , Vol. 4 (7): e6268 , 2009 Abstract: BACKGROUND: Current theories of interval timing assume that humans and other animals time as if using a single, absolute stopwatch that can be stopped or reset on command. Here we evaluate the alternative view that psychological time is represented by multiple clocks, and that these clocks create separate temporal contexts by which duration is judged in a relative manner. Two predictions of the multiple-clock hypothesis were tested. First, that the multiple clocks can be manipulated (stopped and/or reset) independently. Second, that an event of a given physical duration would be perceived as having different durations in different temporal contexts, i.e., would be judged differently by each clock. METHODOLOGY/PRINCIPAL FINDINGS: Rats were trained to time three durations (e.g., 10, 30, and 90 s). When timing was interrupted by an unexpected gap in the signal, rats reset the clock used to time the short duration, stopped the medium duration clock, and continued to run the long duration clock. When the duration of the gap was manipulated, the rats reset these clocks in a hierarchical order, first the short, then the medium, and finally the long clock. Quantitative modeling assuming re-allocation of cognitive resources in proportion to the relative duration of the gap to the multiple, simultaneously timed event durations was used to account for the results. CONCLUSIONS/SIGNIFICANCE: These results indicate that the three event durations were effectively timed by separate clocks operated independently, and that the same gap duration was judged relative to these three temporal contexts. Results suggest that the brain processes the duration of an event in a manner similar to Einstein's special relativity theory: A given time interval is registered differently by independent clocks dependent upon the context. Affiliation: Department of Neurosciences, Medical University of South Carolina, Charleston , SC , USA . buhusi@musc.edu Wikipedia: Animal , Animalia , Critique , Evaluation , Evaluation research , Perception , Physic , Time Perception Title: New Information about Albert Einstein's Brain . PMID: 19597545 Related Articles Authors: Falk, Dean Journal: Front Evol Neurosci , Vol. 1 , 2009 Abstract: In order to glean information about hominin (or other) brains that no longer exist, details of external neuroanatomy that are reproduced on endocranial casts (endocasts) from fossilized braincases may be described and interpreted. Despite being, of necessity, speculative, such studies can be very informative when conducted in light of the literature on comparative neuroanatomy, paleontology, and functional imaging studies. Albert Einstein's brain no longer exists in an intact state, but there are photographs of it in various views. Applying techniques developed from paleoanthropology, previously unrecognized details of external neuroanatomy are identified on these photographs. This information should be of interest to paleoneurologists, comparative neuroanatomists, historians of science, and cognitive neuroscientists. The new identifications of cortical features should also be archived for future scholars who will have access to additional information from improved functional imaging technology. Meanwhile, to the extent possible, Einstein's cerebral cortex is investigated in light of available data about variation in human sulcal patterns. Although much of his cortical surface was unremarkable, regions in and near Einstein's primary somatosensory and motor cortices were unusual. It is possible that these atypical aspects of Einstein's cerebral cortex were related to the difficulty with which he acquired language, his preference for thinking in sensory impressions including visual images rather than words, and his early training on the violin. Affiliation: Department of Anthropology, Florida State University Tallahassee , FL , USA . Wikipedia: Ape , Cerebral Cortex , HomO , Hominid , Hominidae , Hominin , Hominini , Industrial Arts , Language , Neuroanatomy , Pongidae , ScienCe , Technology , Thinking Title: Einstein's brain : gliogenesis in autism? PMID: 19251376 Related Articles Authors: Yuan, T F Journal: Med Hypotheses , Vol. 72 (6): 753 , 2009 Abstract: The hypothesis is that the increased glia/neuron ratio in cortical areas of Einstein's brain is the sign of autism disorder rather than the evidence that more glial cells make a genius. Pubmed MeSH: Brain , Humans , Intelligence , Models, Neurological Wikipedia: Autism , Autistic Disorder , Early Infantile Autism , Glia , Glial Cells , Glial cell , Infantile autism , Kanner's Syndrome , Kanner Syndrome , Neuroglia Title: PMID: 18819231 Related Articles Authors: LeBihan, D Journal: Bull Mem Acad R Med Belg , Vol. 163 (1-2): 105-21; discussion 121-2 , 2008 Abstract: Among the astonishing Einstein's papers from 1905, there is one which unexpectedly gave birth to a powerful method to explore the brain . Molecular diffusion was explained by Einstein on the basis of the random translational motion of molecules which results from their thermal energy. In the mid 1980s it was shown that water diffusion in the brain could be imaged using MRI. During their random displacements water molecules probe tissue structure at a microscopic scale, interacting with cell membranes and, thus, providing unique information on the functional architecture of tissues. A dramatic application of diffusion MRI has been brain ischemia, following the discovery that water diffusion drops immediately after the onset of an ischemic event, when brain cells undergo swelling through cytotoxic edema. On the other hand, water diffusion is anisotropic in white matter, because axon membranes limit molecular movement perpendicularly to the fibers. This feature can be exploited to map out the orientation in space of the white matter tracks and image brain connections. More recently, it has been shown that diffusion MRI could accurately detect cortical activation. As the diffusion response precedes by several seconds the hemodynamic response captured by BOLD fMRI, it has been suggested that water diffusion could reflect early neuronal events, such as the transient swelling of activated cortical cells. If confirmed, this discovery will represent a significant breakthrough, allowing non invasive access to a direct physiological marker of brain activation. This approach will bridge the gap between invasive optical imaging techniques in neuronal cell cultures, and current functional neuroimaging approaches in humans, which are based on indirect and remote blood flow changes. Affiliation: NeuroSpin, Btiment 145, CEA-Saclay, 91191 Gif- sur -Yvette , France . Pubmed MeSH: Brain , Brain Edema , Humans Wikipedia: Axon , Brain ischemia , Cell Membrane , Cell membranes , Cells, cultured , Cerebral ischemia , Cytoplasmic membrane , Diffusion , Diffusion MRI , Displacement , Displacement (psychology) , Dropsy , Edema , Functional MRI , Hemodynamic , Hydrops , Ischemia , MRI scan , Magnetic Resonance Imaging , Membrane , NMR imaging , Nerve cell , Neuron , Optic , Plasma membrane , Thinking , Tissue , Zeugmatography Title: Traumatic brain injury and prospective memory: influence of task complexity. PMID: 17564911 Related Articles Authors: Henry, J D , Phillips, L H , Crawford, J R , Kliegel, M , Theodorou, G , Summers, F Journal: J Clin Exp Neuropsychol , Vol. 29 (5): 457-66 , 2007 Abstract: A quantitative review indicated that prospective memory impairment is a consistent feature of traumatic brain injury (TBI). However, evidence also suggests that manipulations that increase demands on controlled attentional processes moderate the magnitude of observed deficits. A total of 16 TBI participants were compared with 15 matched controls on a task in which the number of prospective target events was manipulated. This manipulation was of interest because two competing models make different predictions as to its effect on controlled attentional processes. In the context of Smith and Bayen's (2004) preparatory attentional processes and memory processes (PAM) model increasing the number of target events should increase requirements for controlled attentional processing. In contrast, McDaniel and Einstein's (2000) multiprocess framework assumes that distinct target events presented in focal awareness of the processing activities required for the ongoing task are likely to depend on automatic processes. This latter model therefore leads to the prediction that increasing the number of target events should not increase demands upon controlled attentional processes. Consistent with McDaniel and Einstein's (2000) multiprocess framework, TBI patients were significantly and comparably impaired on the one- and the four-target-event conditions relative to controls. Further, TBI deficits could not be attributed to increased difficulty with the retrospective component of the prospective memory task. The practical and theoretical implications of these results are discussed. Affiliation: University of New South Wales , Sydney , Australia . julie.henry@unsw.edu.au Pubmed MeSH: Adult , Attention , Case-Control Studies , Humans , Intention , Memory , Middle Aged , Neuropsychological Tests , Task Performance and Analysis Wikipedia: Brain Injuries , Brain Injury , Brain contusion , Brain laceration , Brain trauma , Client , Cortical contusion , Diffuse brain injury , Focal brain injury , Injuries , Injury , Patient , Trauma , Traumatic Brain Injury , Traumatic brain injuries , Wound , Wounds and injuries Title: Cerebral cortex astroglia and the brain of a genius: a propos of A. Einstein's . PMID: 16675021 Related Articles Authors: Colombo, J A , Reisin, H D , Miguel-Hidalgo, J J , Rajkowska, G Journal: Brain Res Rev , Vol. 52 (2): 257-63 , 2006 Abstract: The glial fibrillary acidic protein immunoreactive astroglial layout of the cerebral cortex from Albert Einstein and other four age-matched human cases lacking any known neurological disease was analyzed using quantification of geometrical features mathematically defined. Several parameters (parallelism, relative depth, tortuosity) describing the primate-specific interlaminar glial processes did not show individually distinctive characteristics in any of the samples analyzed. However, A. Einstein's astrocytic processes showed larger sizes and higher numbers of interlaminar terminal masses, reaching sizes of 15 microm in diameter. These bulbous endings are of unknown significance and they have been described occurring in Alzheimer's disease. These observations are placed in the context of the general discussion regarding the proposal--by other authors--that structural, postmortem characteristics of the aged brain of Albert Einstein may serve as markers of his cognitive performance, a proposal to which the authors of this paper do not subscribe, and argue against. Affiliation: Unidad de Neurobiologa Aplicada, UNA, CEMIC-CONICET, Av. Galvn 4102, C1431FWO Ciudad de Buenos Aires , Argentina . colombo@pruna.gov.ar Pubmed MeSH: Aged , Aging , Atrophy , Cell Shape , Cell Size , Famous Persons , Humans , Intelligence , Reference Values Wikipedia: Alzheimer's Disease , Alzheimer disease , Astrocyte , Astroglia , Cerebral Cortex , Desmin , Early onset Alzheimer disease , Glial fibrillary acidic protein , Mathematic , Peripherin , Presenile dementia , Proteins , Senile Dementia , Vimentin Title: Einstein's Institute for Aging Research: collaborative and programmatic approaches in the search for successful aging. PMID: 15036407 Related Articles Authors: Barzilai, N , Rossetti, L , Lipton, R B Journal: Exp Gerontol , Vol. 39 (2): 151-7 , 2004 Abstract: While aging research has been progressing rapidly recently, the involvement of multiple organs and systems in the aging process has hampered a comprehensive assessment of some of aging's basic features. In response to this problem, the Institute for Aging Research at Einstein did not emerge out of the traditional geriatric programs, but through enhanced collaborations between basic and clinical scientists who had successful careers in the research of a specific organ or system. The strength of the Center derives from three specific programs focused on a specific area of aging research. The programs focus on the Biology of Aging, Genetics of Aging and the Aging Brain . Each programmatic area is characterized by collaboration between basic and clinical scientists. In addition to addressing the traditional questions about the mechanisms of involution, the programs also examine the mechanisms for exceptional and healthy longevity. The mechanisms favoring longevity are being examined in models of caloric restriction (biological nutrient sensing pathways), in human centenarians (longevity genes), and in longitudinal studies identifying humans who maintain excellent cognitive function (protection from Alzheimer's). Each programmatic area is enhanced by common research core laboratory and by the creation of a scientific training program for new investigators. In addition to the investigators involved in the program project, the Institute for Aging Research includes other investigators with funded aging research who participate in journal clubs, seminars, and in specific collaborations. We suggest that this Institute serve as a model that gerontologists at other institutions should consider as they evaluate opportunities for collaborative, multi-disciplinary approaches to enhance aging research. Affiliation: Department of Medicine, Institute for Aging Research, Belfer Bldg. #701, Albert Einstein College of Medicine, 1300 Morris Park Avenue, Bronx, NY 10461, USA . barzilia@aecom.yu.edu Pubmed MeSH: Aged , Aging , Dementia , Humans , New York , Research Wikipedia: Academies , Academy , Biology , Caloric restriction , Centenarian , Cistron , Collaboration , Critique , Evaluation , Evaluation research , Food , Gene , Genetic material , Geriatrics , Gerontology , Institutes , Laboratories , Laboratory , Longevity , Nonagenarian , Nutrients , Octogenarian , Research institute Title: Vestibular discrimination of gravity and translational acceleration. PMID: 11710454 Related Articles Authors: Angelaki, D E , Wei, M , Merfeld, D M Journal: Ann N Y Acad Sci , Vol. 942 , 2001 Abstract: According to Einstein's equivalence principle, linear accelerations experienced during translational motion are physically indistinguishable from changes in orientation relative to gravity experienced during tilting movements. Nevertheless, despite these ambiguous sensory cues provided by the primary otolith afferents, perceptual and motor responses discriminate between gravity and translational acceleration. There is growing evidence to suggest that the brain resolves this ambiguity primarily by combining signals from multiple sensors, the semicircular canals being a main extra otolith contributor. Here, we summarize the experimental evidence in support of the canal influences on the neural processing of otolith cues, provide specific experimental results in rhesus monkeys, and discuss and compare previously proposed models that combine otolith and semicircular-canal signals in order to provide neural estimates of gravity and linear acceleration. Affiliation: Department of Neurobiology and Biomedical Engineering, Washington University School of Medicine, St Louis , Missouri 63110, USA . angelaki@thalamus.wustl.edu Pubmed MeSH: Animals , Models, Biological , Vestibule, Labyrinth Wikipedia: Acceleration , Anthropoidea , Anthropoids , Betatron , Discrimination , G Force , Gravitation , Gravity , Haplorhini , Linear Accelerator , Linear accelerators , Macaca mulatta , Monkey , Otoconia , Otolith , Otolithic membrane , Particle Accelerator , Physic , Rhesus Macaque , Rhesus Monkey , Rhesus macaques , Rhesus monkeys , Semicircular canal , Statoconia Title: Consciousness, the brain , and spacetime geometry. PMID: 11349432 Related Articles Authors: Hameroff, S R Journal: Ann N Y Acad Sci , Vol. 929 , 2001 Abstract: What is consciousness? Conventional approaches see it as an emergent property of complex interactions among individual neurons; however these approaches fail to address enigmatic features of consciousness. Accordingly, some philosophers have contended that qualia, or an experiential medium from which consciousness is derived, exists as a fundamental component of reality. Whitehead, for example, described the universe as being composed of occasions of experience. To examine this possibility scientifically, the very nature of physical reality must be re-examined. We must come to terms with the physics of spacetime--as described by Einstein's general theory of relativity, and its relation to the fundamental theory of matter--as described by quantum theory. Roger Penrose has proposed a new physics of objective reduction: OR, which appeals to a form of quantum gravity to provide a useful description of fundamental processes at the quantum/classical borderline. Within the OR scheme, we consider that consciousness occurs if an appropriately organized system is able to develop and maintain quantum coherent superposition until a specific objective criterion (a threshold related to quantum gravity ) is reached; the coherent system then self-reduces (objective reduction: OR). We contend that this type of objective self-collapse introduces non-computability, an essential feature of consciousness which distinguishes our minds from classical computers. Each OR is taken as an instantaneous event--the climax of a self-organizing process in fundamental spacetime--and a candidate for a conscious Whitehead occasion of experience. How could an OR process occur in the brain , be coupled to neural activities, and account for other features of consciousness? We nominate a quantum computational OR process with the requisite characteristics to be occurring in cytoskeletal micro-tubules within the brain 's neurons. In this model, quantum-superposed states develop in microtubule subunit proteins ( tubulins ) within certain brain neurons, remain coherent, and recruit more superposed tubulins until a mass-time-energy threshold (related to quantum gravity ) is reached. At that point, self-collapse, or objective reduction (OR), abruptly occurs. We equate the pre-reduction, coherent superposition (quantum computing) phase with pre-conscious processes, and each instantaneous (and non-computable) OR, or self-collapse, with a discrete conscious event. Sequences of OR events give rise to a stream of consciousness. Microtubule-associated proteins can tune the quantum oscillations of the coherent superposed states; the OR is thus self-organized, or orchestrated (Orch OR). Each Orch OR event selects (non-computably) microtubule subunit states which regulate synaptic/neural functions using classical signaling. The quantum gravity threshold for self-collapse is relevant to consciousness, according to our arguments, because macroscopic superposed quantum states each have their own spacetime geometries. These geometries are also superposed, and in some way separated, but when sufficiently separated, the superposition of spacetime geometries becomes significantly unstable and reduces to a single universe state. Quantum gravity determines the limits of the instability; we contend that the actual choice of state made by Nature is non-computable. Thus each Orch OR event is a self-selection of spacetime geometry, coupled to the brain through microtubules and other biomolecules. If conscious experience is intimately connected with the very physics underlying spacetime structure, then Orch OR in microtubules indeed provides us with a completely new and uniquely promising perspective on the difficult problems of consciousness. Affiliation: Department of Anesthesiology and Psychology, Center for Consciousness Studies, University of Arizona, Tucson , Arizona , USA . hameroff@u.arizona.edu, hameroff@arizona.edu Pubmed MeSH: Brain , Humans , Models, Neurological Wikipedia: ConsciousNess , G Force , Gamma tubulin , Gravitation , Gravity , Microtubule , Microtubule-associated proteins , Nature , Nerve cell , Neuron , Physic , Proteins , Quantum Theory , Tubulin Title: Driving mr. Albert: A trip across america with Einstein's brain PMID: 11017129 Related Articles Journal: Nat Med , Vol. 6 (10): 1090 , 2000 No abstract documents Title: Albert Einstein's brain . PMID: 10577670 Related Articles Authors: Seitz, J A Journal: Lancet , Vol. 354 (9192): 1822-3 , 1999 No abstract given. Pubmed MeSH: Brain , Creativeness , Famous Persons , Humans , Intelligence Title: Albert Einstein's brain . PMID: 10577669 Related Articles Authors: Salvatori, R Journal: Lancet , Vol. 354 (9192): 1821-2 , 1999 No abstract given. Pubmed MeSH: Academic Medical Centers , Brain , Famous Persons , Humans , New York Title: Albert Einstein's brain . PMID: 10577668 Related Articles Authors: Galaburda, A M Journal: Lancet , Vol. 354 (9192): 1821; author reply 1822 , 1999 No abstract given. Pubmed MeSH: Brain , Embryonic and Fetal Development , Famous Persons , Humans , Intelligence Title: Humans use internal models to estimate gravity and linear acceleration. PMID: 10217143 Related Articles Authors: Merfeld, D M , Zupan, L H , Peterka, R J Journal: Nature , Vol. 398 (6728): 615-8 , 1999 Abstract: Because sensory systems often provide ambiguous information, neural processes must exist to resolve these ambiguities. It is likely that similar neural processes are used by different sensory systems. For example, many tasks require neural processing to distinguish linear acceleration from gravity, but Einstein's equivalence principle states that all linear accelerometers must measure both linear acceleration and gravity. Here we investigate whether the brain uses internal models, defined as neural systems that mimic physical principles, to help estimate linear acceleration and gravity. Internal models may be used in motor contro, sensorimotor integration and sensory processing, but direct experimental evidence for such models is limited. To determine how humans process ambiguous gravity and linear acceleration cues, subjects were tilted after being rotated at a constant velocity about an Earth-vertical axis. We show that the eye movements evoked by this post-rotational tilt include a response component that compensates for the estimated linear acceleration even when no actual linear acceleration occurs. These measured responses are consistent with our internal model predictions that the nervous system can develop a non-zero estimate of linear acceleration even when no true linear acceleration is present. Affiliation: Neurological Sciences Institute, Oregon Health Sciences University, Portland 97209, USA . dan_merfeld@meei.harvard.edu Pubmed MeSH: Gravity Perception , Humans , Models, Neurological , Motion Perception , Semicircular Canals Wikipedia: Acceleration , Anxieties , Anxiety , Axis , Betatron , Compensation , Epistropheus , Eye movement , G Force , Gravitation , Gravity , Linear Accelerator , Linear accelerators , Nervousness , Particle Accelerator , Physic , Rotation Title: Computation of inertial motion: neural strategies to resolve ambiguous otolith information. PMID: 9870961 Related Articles Authors: Angelaki, D E , McHenry, M Q , Dickman, J D , Newlands, S D , Hess, B J Journal: J Neurosci , Vol. 19 (1): 316-27 , 1999 Abstract: According to Einstein's equivalence principle, inertial accelerations during translational motion are physically indistinguishable from gravitational accelerations experienced during tilting movements. Nevertheless, despite ambiguous sensory representation of motion in primary otolith afferents, primate oculomotor responses are appropriately compensatory for the correct translational component of the head movement. The neural computational strategies used by the brain to discriminate the two and to reliably detect translational motion were investigated in the primate vestibulo-ocular system. The experimental protocols consisted of either lateral translations, roll tilts, or combined translation-tilt paradigms. Results using both steady-state sinusoidal and transient motion profiles in darkness or near target viewing demonstrated that semicircular canal signals are necessary sensory cues for the discrimination between different sources of linear acceleration. When the semicircular canals were inactivated, horizontal eye movements (appropriate for translational motion) could no longer be correlated with head translation. Instead, translational eye movements totally reflected the erroneous primary otolith afferent signals and were correlated with the resultant acceleration, regardless of whether it resulted from translation or tilt. Therefore, at least for frequencies in which the vestibulo-ocular reflex is important for gaze stabilization (0.1 Hz), the oculomotor system discriminates between head translation and tilt primarily by sensory integration mechanisms rather than frequency segregation of otolith afferent information. Nonlinear neural computational schemes are proposed in which not only linear acceleration information from the otolith receptors but also angular velocity signals from the semicircular canals are simultaneously used by the brain to correctly estimate the source of linear acceleration and to elicit appropriate oculomotor responses. Affiliation: Department of Surgery (Otolaryngology), University of Mississippi Medical Center, Jackson , Mississippi 39216, USA . Pubmed MeSH: Animals , Cues , Ear, Inner , Macaca mulatta , Neural Analyzers , Orientation , Oscillometry Wikipedia: Acceleration , Betatron , Discrimination , Eye movement , G Force , Gravitation , Gravity , Linear Accelerator , Linear accelerators , Otoconia , Otolith , Otolithic membrane , Particle Accelerator , Physic , Primate , Reflex , Reflex, vestibulo-ocular , Semicircular canal , Statoconia , Vestibulo-ocular reflex , Vestibulo ocular reflex , Vestibuloocular reflex Title: Further on Einstein's brain . PMID: 9527906 Related Articles Authors: Hines, T M Journal: Exp Neurol , Vol. 150 (2): 343-4 , 1998 No abstract given. Affiliation: Department of Psychology, Pace University, Pleasantville, New York 10570-2799, USA . Pubmed MeSH: Brain , Cerebral Cortex , Famous Persons , Germany , United States Title: Alterations in cortical thickness and neuronal density in the frontal cortex of Albert Einstein. PMID: 8805120 Related Articles Authors: Anderson, B , Harvey, T Journal: Neurosci Lett , Vol. 210 (3): 161-4 , 1996 Abstract: Neuronal density, neuron size, and the number of neurons under 1 mm2 of cerebral cortical surface area were measured in the right pre-frontal cortex of Albert Einstein and five elderly control subjects. Measurement of neuronal density used the optical dissector technique on celloidin-embedded cresyl violet-stained sections. The neurons counted provided a systematic random sample for the measurement of cell body cross-sectional area. Einstein's cortex did not differ from the control subjects in the number of neurons under 1 mm2 of cerebral cortex or in mean neuronal size. Because Einstein's cortex was thinner than the controls he had a greater neuronal density. Affiliation: Department of Neurology, University of Alabama at Birmingham 35294-0007, USA . brittuab@aol.com Pubmed MeSH: Aortic Aneurysm, Abdominal , Cell Count , Cell Size , Famous Persons , Humans , Intelligence , Middle Aged , Physics , Tissue Fixation Wikipedia: Aged , Cerebral Cortex , Data quality , Elderly , Experimental Design , Experimental designs , Measurement , Nerve cell , Neuron , Optic , Prefrontal Cortex , Research design , Testing Title: Albert Einstein's dyslexia and the significance of Brodmann Area 39 of his left cerebral cortex. PMID: 1584096 Related Articles Authors: Kantha, S S Journal: Med Hypotheses , Vol. 37 (2): 119-22 , 1992 Abstract: By his own admission, Albert Einstein, 'started to talk comparatively late ... certainly not younger than three', and also had 'poor memory of words', during his childhood years. If lesions in Brodmann Area 39 of the cerebral hemisphere results in dyslexia, the 1985 report on the study of Einstein's brain that the neuron:glial ratio of Area 39 in the left cerebral hemisphere of the physicist was significantly smaller than that of the control values, provides a neuroanatomical clue to Einstein's childhood dyslexia. Though not discrediting this finding, some questions are raised in this paper regarding the controls employed in this 1985 report (1). Affiliation: Osaka BioScience Institute, Japan . Pubmed MeSH: Humans , Physics Wikipedia: Alexia , Cerebral Cortex , Cerebral hemisphere , Cerebrum , Dyslexia , Word blindness Title: On the brain of a scientist: Albert Einstein. PMID: 3979509 Related Articles Authors: Diamond, M C , Scheibel, A B , Murphy, G M , Harvey, T Journal: Exp Neurol , Vol. 88 (1): 198-204 , 1985 Abstract: Neuron:glial ratios were determined in specific regions of Albert Einstein's cerebral cortex to compare with samples from 11 human male cortices. Cell counts were made on either 6- or 20-micron sections from areas 9 and 39 from each hemisphere. All sections were stained with the Klver-Barrera stain to differentiate neurons from glia, both astrocytes and oligodendrocytes. Cell counts were made under oil immersion from the crown of the gyrus to the white matter by following a red line drawn on the coverslip. The average number of neurons and glial cells was determined per microscopic field. The results of the analysis suggest that in left area 39, the neuronal: glial ratio for the Einstein brain is significantly smaller than the mean for the control population (t = 2.62, df 9, p less than 0.05, two-tailed). Einstein's brain did not differ significantly in the neuronal:glial ratio from the controls in any of the other three areas studied. Pubmed MeSH: Aged , Brain , Famous Persons , Frontal Lobe , Humans , Middle Aged , Parietal Lobe Wikipedia: Astrocyte , Astroglia , Cell count , Cerebral Cortex , Glia , Glial Cells , Glial cell , Nerve cell , Neuroglia , Neuron , Oligodendrocyte , Oligodendroglia , Toco , Tocopherol , Vitae , Vitamine E given.
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BBC科教片:爱因斯坦-死亡方程式
cuncaoxin 2009-1-30 10:00
中文名称 : BBC 爱因斯坦 死亡方程式 英文名称 : BBC Einstein's Equation of Life of and Death 别名 :爱因斯坦 死亡的公式 BBC Exlusiv Albert Einstein oder die Formel des Todes 版本 :双语版 发行时间 : 2005 年 地区 :英国 , 德国 语言 :英语 , 德语 首播: 2005 年 5 月 15 日上午 9 : 40 - 10 : 40 星期天 电视台: VOX 英语原版名: Einstein's Equation of Life of and Death 德语版片长: 44 分钟 制片: Aidan Laverty 出版: BBC Horizon (注: BBC 2 台科教片系列旗舰品牌,每集长度约为 50 分钟。) 视频链接:可可英语 http://www.kekenet.com/video/54079.shtml 早在 1905 年,年仅 26 岁的爱因斯坦就已提出了狭义相对论。狭义相对论推倒了牛顿力学的质量守恒、能量守恒、质量能量互不相关、时空永恒不变的基本命题。这是一场真正的科学革命。 其后,爱因斯坦又经过 10 年探索,建立了广义相对论。自此,爱因斯坦相对论宣告完成。它奠定了 20 世纪物理学的基石。爱因斯坦仍不满足。他开始探索宇宙起源问题,并揭示出宇宙是 静态 的、有限无界的。他根据广义相对论,提出了三大命题:光线在太阳引力场中会发生弯曲;水星近日点运动规律;引力场中光谱线向红端移动。然而直到 1919 年 5 月之前,这些预言并未得到验证。许多科学家对此持怀疑态度。 经历了两次世界大战的惨败,德国人一直苦于自己的国家严重缺乏英雄人物,现在他们重新将艾伯特 爱因斯坦视为德国历史上最伟大的人物之一,尽管这位犹太裔物理学家曾因自己的血统遭到纳粹党人的仇视而流亡国外。 爱因斯坦生于德国,一个世纪前,他在瑞士发表了著名的相对论。 1955 年 4 月 18 日,他永远离开了这个世界。 50 年后的今天,他曾摒弃的国家为他重扬美名。 2005 年被称为 爱因斯坦年 ,世界各地纷纷展开各种庆祝活动。但是没有一个地方像德国一样,在对这位有着低垂眼睛和浓密灰发的老人予以盛赞的同时,还要肩负沉重的 历史包袱 。 德国政府开始竭尽全力了解爱因斯坦。 20 世纪早期,他关于宇宙、时间和相对论的理论给当时的物理学带来了颠覆性的变革,他也由此成为世界上第一位大众偶像级科学家。 这有点奇怪。 德国版爱因斯坦传记的作者于尔根 内费说。该书自从一月份出版以来,在畅销书榜上一直位居前列。 爱因斯坦憎恨纳粹,并将这种反感之情延伸到所有德国人身上,在他看来德国人造成了这一切。他确实非常讨厌德国,但是无论如何,他肯定会为德国最近 30 年来取得的发展感到欣慰的。 德国对爱因斯坦的 重新发现 始于 2003 年。在当时的一次调查中,他被数百万电视观众推选为德国历史上 最伟大的人物 之一。 1879 年,爱因斯坦出生于德国乌尔姆的巴伐利亚市, 17 岁时,为逃避服兵役,他移居瑞士。从苏黎世联邦工业大学毕业后,他供职于瑞士联邦专利局,并在业余时间撰写科学论文。 1905 年是爱因斯坦的 奇迹年 ,他创立了阐释时空关系的相对论,挑战了物理学巨人艾萨克 牛顿始创的宇宙观,那些理论 200 年来一直固若磐石。 1919 年,爱因斯坦的理论为科学家们所证实,一时他声名鹊起。 1921 年,他获得了诺贝尔物理学奖,随后德国和瑞士都争着说爱因斯坦是属于自己国家的。 但是爱因斯坦没有停滞不前。他的独特理论也给他最为著名的发现奠定了基础,那个发现就是 E=mc2 一个打开原子时代大门的方程式。全世界都知道这个公式,虽然没多少人能真正理解它。 1914 年,爱因斯坦回到德国,随后在柏林居住了 19 年,直到 1933 年为躲避希特勒的纳粹军团的迫害而逃亡国外。他曾在美国普林斯顿大学执教,并在那里度过了晚年。 他在柏林的住宅曾遭纳粹党人洗劫。 1932 年,爱因斯坦放弃了德国国籍,并于 1940 年加入美国国籍,成为一名美国公民。 In the summer of 1939 Albert Einstein was on holiday in a small resort town on the tip of Long Island . His peaceful summer, however, was about to be shattered by a visit from an old friend and colleague from his years in Berlin . The visitor was the physicist Leo Szilard. He had come to tell Einstein that he feared the Nazis could soon be in possession of a terrible new weapon and that something had to be done. Szilard believed that recent scientific breakthroughs meant it was now possible to convert mass into energy. And that this could be used to make a bomb. If this were to happen, it would be a terrible realisation of the law of nature Einstein had discovered some 34 years earlier. September 1905 was Einstein's 'miracle year'. While working as a patents clerk in the Swiss capital Berne Einstein submitted a three-page supplement to his special theory of relativity, published earlier that year. In those pages he derived the most famous equation of all time; e=mcsup2;, energy is equal to mass multiplied by the speed of light squared. The equation showed that mass and energy were related and that one could, in theory, be transformed into the other. But because the speed of light squared is such a huge number, it meant that even a small amount of mass could potentially be converted into a huge amount of energy. Ever since the discovery of radioactivity in the late 19th century, scientists had realised that the atomic nucleus could contain a large amount of energy. Einstein's revolutionary equation showed them, for the first time, just how much there was. However, at the time Einstein doubted whether that energy could ever be released. By 1935 he was convinced it would never be practical. At the Winter Session of the American Association for the Advancement of Science in Pittsburgh , he is quoted as telling journalists: The likelihood of transforming matter into energy is something akin to shooting birds in the dark in a country where there are only a few birds. Einstein was so sceptical because attempts to break open the atomic nucleus always required more far energy be put in than was ever released. Nuclear physicists like Ernest Rutherford were exploring the structure of the atom by bombarding atomic nuclei with alpha particles. Even when machines were built to accelerate the alpha particles to ever higher speeds they had only limited success in breaking apart the nucleus. In 1933 Rutherford dismissed talk of atomic power as 'moonshine'. One morning in September 1933 Szilard read Rutherford 's comments in The Times. Leaving his hotel and crossing the street, he had a brainwave. Alpha particles and the other particles that physicists had been using to bombard the nucleus were simply the wrong tool for the job, because he realised that they, like the nucleus, had a positive charge. Since like charges repel, Szilard thought, no matter how hard you fire them in, the majority would simply be deflected away. That morning he was one of the first to realise that the recently discovered neutron might be what was needed. The neutron, a subatomic particle like a proton but with no electric charge was discovered in 1932. With no charge, Szilard believed the neutron would simply slip into the heart of the atom undeflected. But he didn't stop there. Szilard thought that if an atom could be found that is split open by neutrons, not only would it release some of its huge store of energy, it might also release further neutrons, which could then go on and split further atoms, setting up a chain reaction leading to a truly vast release of energy. Szilard immediately saw the possible military applications and sought to patent the idea and have it made an official secret. But in 1933, the chain reaction only existed in Szilard's head. No one had yet found an atom that could be split by neutrons. These developments were happening against a background of extraordinary political turmoil in Europe . Hitler had come to power in Germany in January 1933. In 1938, less than a year before the outbreak of World War II, just such an atom was found, uranium. Working at the Kaiser Wilhelm Institute in Berlin , the nuclear chemists Otto Hahn and Fritz Strassman found that when bombarded with neutrons, uranium split into two nuclei of roughly half the size. Not only that, but further calculations showed that a large amount of energy was also released - enough from a single nucleus to move a grain of sand. The first stage of Szilard's chain reaction had been achieved. When he heard the news Szilard, now in New York and working at Columbia University with Enrico Fermi, set about showing whether, as well as energy, further 'secondary' neutrons were released. By July 1939, when he first knocked on Einstein's door, he knew that they were and so the chain reaction was possible. Also, he and Fermi had settled on a design for the first nuclear reactor. During the course of their conversations in the summer of 1939, Szilard explained these new developments to Einstein and his fear that the Nazis might use them to create a nuclear bomb. Together they drafted a letter, signed by Einstein, to the American President, Franklin Roosevelt. The letter was delivered to the President on the 11 October 1939 and after reading it the President provided funding for research that would pave the way for the Manhattan Project and lead, ultimately to the construction of the first atomic bomb. After signing the letter, Einstein played no further part in the development of the bomb. With the first atomic explosion over Hiroshima , the power of e=mcsup2; had been graphically demonstrated to the world. Just 0.6 grams of mass, converted into energy, had been enough to destroy an entire city. Einstein was horrified when he heard that the bomb had been dropped. When they, wrote to the President, Szilard and Einstein advocated the development of an American bomb purely as a deterrent against the threat of a Nazi weapon. They had not conceived of its use as an offensive weapon, especially after the defeat of Nazi Germany. Einstein always saw e=mc2; as a purely theoretical insight and refuted any responsibility for the bomb but he did feel some responsibility for the letter he'd written to Roosevelt . A letter he would come to describe as the one mistake of his life. Einstein saw nuclear weapons and the nuclear arms race as a threat to the future of civilisation. In his final years he devoted much of his time and energy to issues dealing with the world's future - advocating pacifism and campaigning for the control of nuclear weapons, not by individual nations, but by a world government. The last document he signed, just a week before he died, was a manifesto drawn up by Bertrand Russell, renouncing war and nuclear weapons. As Russell said: Einstein was not only a great scientist he was a great man. He stood for peace in a world drifting towards war... But while the bomb proved e=mc2; to be the ultimate equation of destruction, only after his death has the role of Einstein's equation in the creation of the universe become clear. Just as mass can be turned into energy in a bomb, the pure energy generated in the Big Bang condensed into the matter that makes up our world. Almost a hundred years ago, with just six short pen stokes Einstein unlocked one of the most powerful truths about the universe. A truth that would change our world, both for good and ill.
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