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CHAPTER 4 THE UNCERTAINTY PRINCIPLE

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The success of scientific theories, particularly Newton’s theoryof gravity, led the French scientist the Marquis de Laplace atthe beginning of the nineteenth century to argue that theuniverse was completely deterministic. Laplace suggested thatthere should be a set of scientific laws that would allow us topredict everything that would happen in the universe, if only weknew the complete state of the universe at one time. Forexample, if we knew the positions and speeds of the sun andthe planets at one time, then we could use Newton’s laws tocalculate the state of the Solar System at any other time.
Determinism seems fairly obvious in this case, but Laplace wentfurther to assume that there were similar laws governingeverything else, including human behavior.
The doctrine1 of scientific determinism was strongly resistedby many people, who felt that it infringed2 God’s freedom tointervene in the world, but it remained the standard assumptionof science until the early years of this century. One of the firstindications that this belief would have to be abandoned camewhen calculations by the British scientists Lord Rayleigh and SirJames Jeans suggested that a hot object, or body, such as astar, must radiate energy at an infinite rate. According to thelaws we believed at the time, a hot body ought to give offelectromagnetic waves (such as radio waves, visible light, or Xrays) equally at all frequencies. For example, a hot body shouldradiate the same amount of energy in waves with frequenciesbetween one and two million million waves a second as inwaves with frequencies between two and three million millionwaves a second. Now since the number of waves a second isunlimited, this would mean that the total energy radiated wouldbe infinite.
In order to avoid this obviously ridiculous result, the Germanscientist Max Planck suggested in 1900 that light, X rays, andother waves could not be emitted at an arbitrary rate, but onlyin certain packets that he called quanta. Moreover, eachquantum had a certain amount of energy that was greater thehigher the frequency of the waves, so at a high enoughfrequency the emission3 of a single quantum would require moreenergy than was available. Thus the radiation at highfrequencies would be reduced, and so the rate at which thebody lost energy would be finite.
The quantum hypothesis explained the observed rate ofemission of radiation from hot bodies very well, but itsimplications for determinism were not realized until 1926, whenanother German scientist, Werner Heisenberg,
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1 doctrine Pkszt     
n.教义;主义;学说
参考例句:
  • He was impelled to proclaim his doctrine.他不得不宣扬他的教义。
  • The council met to consider changes to doctrine.宗教议会开会考虑更改教义。
2 infringed dcbf74ba9f59f98b16436456ca618de0     
v.违反(规章等)( infringe的过去式和过去分词 );侵犯(某人的权利);侵害(某人的自由、权益等)
参考例句:
  • Wherever the troops went, they never infringed on the people's interests. 大军过处,秋毫无犯。 来自《现代汉英综合大词典》
  • He was arrested on a charge of having infringed the Election Law. 他因被指控触犯选举法而被拘捕。 来自《现代汉英综合大词典》
3 emission vjnz4     
n.发出物,散发物;发出,散发
参考例句:
  • Rigorous measures will be taken to reduce the total pollutant emission.采取严格有力措施,降低污染物排放总量。
  • Finally,the way to effectively control particulate emission is pointed out.最后,指出有效降低颗粒排放的方向。
4 formulated cfc86c2c7185ae3f93c4d8a44e3cea3c     
v.构想出( formulate的过去式和过去分词 );规划;确切地阐述;用公式表示
参考例句:
  • He claims that the writer never consciously formulated his own theoretical position. 他声称该作家从未有意识地阐明他自己的理论见解。 来自《简明英汉词典》
  • This idea can be formulated in two different ways. 这个意思可以有两种说法。 来自《现代汉英综合大词典》
5 uncertainty NlFwK     
n.易变,靠不住,不确知,不确定的事物
参考例句:
  • Her comments will add to the uncertainty of the situation.她的批评将会使局势更加不稳定。
  • After six weeks of uncertainty,the strain was beginning to take its toll.6个星期的忐忑不安后,压力开始产生影响了。
6 velocity rLYzx     
n.速度,速率
参考例句:
  • Einstein's theory links energy with mass and velocity of light.爱因斯坦的理论把能量同质量和光速联系起来。
  • The velocity of light is about 300000 kilometres per second.光速约为每秒300000公里。
7 accurately oJHyf     
adv.准确地,精确地
参考例句:
  • It is hard to hit the ball accurately.准确地击中球很难。
  • Now scientists can forecast the weather accurately.现在科学家们能准确地预报天气。
8 scattered 7jgzKF     
adj.分散的,稀疏的;散步的;疏疏落落的
参考例句:
  • Gathering up his scattered papers,he pushed them into his case.他把散乱的文件收拾起来,塞进文件夹里。
9 crest raqyA     
n.顶点;饰章;羽冠;vt.达到顶点;vi.形成浪尖
参考例句:
  • The rooster bristled his crest.公鸡竖起了鸡冠。
  • He reached the crest of the hill before dawn.他于黎明前到达山顶。
10 crests 9ef5f38e01ed60489f228ef56d77c5c8     
v.到达山顶(或浪峰)( crest的第三人称单数 );到达洪峰,达到顶点
参考例句:
  • The surfers were riding in towards the beach on the crests of the waves. 冲浪者们顺着浪头冲向岸边。 来自《简明英汉词典》
  • The correspondent aroused, heard the crash of the toppled crests. 记者醒了,他听见了浪头倒塌下来的轰隆轰隆声。 来自辞典例句
11 wavelength 8gHwn     
n.波长
参考例句:
  • The authorities were unable to jam this wavelength.当局无法干扰这一波长。
  • Radio One has broadcast on this wavelength for years.广播1台已经用这个波长广播多年了。
12 precisely zlWzUb     
adv.恰好,正好,精确地,细致地
参考例句:
  • It's precisely that sort of slick sales-talk that I mistrust.我不相信的正是那种油腔滑调的推销宣传。
  • The man adjusted very precisely.那个人调得很准。
13 fully Gfuzd     
adv.完全地,全部地,彻底地;充分地
参考例句:
  • The doctor asked me to breathe in,then to breathe out fully.医生让我先吸气,然后全部呼出。
  • They soon became fully integrated into the local community.他们很快就完全融入了当地人的圈子。
14 controversy 6Z9y0     
n.争论,辩论,争吵
参考例句:
  • That is a fact beyond controversy.那是一个无可争论的事实。
  • We ran the risk of becoming the butt of every controversy.我们要冒使自己在所有的纷争中都成为众矢之的的风险。
15 velocities 64d80206fdcbbf917808c5b00e0a8ff5     
n.速度( velocity的名词复数 );高速,快速
参考例句:
  • In experimenting we find out that sound travels with different velocities through different substances. 在实验中,我们发现声音以不同的速度通过不同的物质而传播。 来自《现代汉英综合大词典》
  • A gas in thermal equilibrium has particles of all velocities. 处于热平衡的气体,其粒子有一切速度。 来自辞典例句
16 randomness af1c2e393e31ba3c5a65a5ccc64d0789     
n.随意,无安排;随机性
参考例句:
  • The randomness is attributed to the porous medium. 随机性起因于多孔介质。 来自辞典例句
  • Einstein declared that randomness rather than lawfulness is the characteristic of natural events. 爱因斯坦宣称自然现象的特征为不可测性而不是规律化。 来自辞典例句
17 dice iuyzh8     
n.骰子;vt.把(食物)切成小方块,冒险
参考例句:
  • They were playing dice.他们在玩掷骰子游戏。
  • A dice is a cube.骰子是立方体。
18 perfectly 8Mzxb     
adv.完美地,无可非议地,彻底地
参考例句:
  • The witnesses were each perfectly certain of what they said.证人们个个对自己所说的话十分肯定。
  • Everything that we're doing is all perfectly above board.我们做的每件事情都是光明正大的。
19 underlie AkSwu     
v.位于...之下,成为...的基础
参考例句:
  • Technology improvements underlie these trends.科技进步将成为此发展趋势的基础。
  • Many facts underlie my decision.我的决定是以许多事实为依据的。
20 transistors ff750796e6ff1fb40d6a8248a6485dc3     
晶体管( transistor的名词复数 ); 晶体管收音机,半导体收音机
参考例句:
  • In semiconductor receivers transistors take the place of vacuum tubes. 在半导体收音机中晶体管代替了真空管。
  • We often turn to this handbook for information on transistors. 我们常从这本手册查阅有关晶体管的资料。
21 components 4725dcf446a342f1473a8228e42dfa48     
(机器、设备等的)构成要素,零件,成分; 成分( component的名词复数 ); [物理化学]组分; [数学]分量; (混合物的)组成部分
参考例句:
  • the components of a machine 机器部件
  • Our chemistry teacher often reduces a compound to its components in lab. 在实验室中化学老师常把化合物分解为各种成分。
22 entirely entirely     
ad.全部地,完整地;完全地,彻底地
参考例句:
  • The fire was entirely caused by their neglect of duty. 那场火灾完全是由于他们失职而引起的。
  • His life was entirely given up to the educational work. 他的一生统统献给了教育工作。
23 wavelengths 55c7c1db2849f4af018e7824d42c3ff2     
n.波长( wavelength的名词复数 );具有相同的/不同的思路;合拍;不合拍
参考例句:
  • I find him difficult to talk to—we're on completely different wavelengths. 我没法和他谈话,因为我们俩完全不对路。 来自《简明英汉词典》
  • Sunlight consists of different wavelengths of radiation. 阳光由几种不同波长的射线组成。 来自辞典例句
24 slit tE0yW     
n.狭长的切口;裂缝;vt.切开,撕裂
参考例句:
  • The coat has been slit in two places.这件外衣有两处裂开了。
  • He began to slit open each envelope.他开始裁开每个信封。
25 slits 31bba79f17fdf6464659ed627a3088b7     
n.狭长的口子,裂缝( slit的名词复数 )v.切开,撕开( slit的第三人称单数 );在…上开狭长口子
参考例句:
  • He appears to have two slits for eyes. 他眯着两眼。
  • "You go to--Halifax,'she said tensely, her green eyes slits of rage. "你给我滚----滚到远远的地方去!" 她恶狠狠地说,那双绿眼睛冒出了怒火。
26 remarkable 8Vbx6     
adj.显著的,异常的,非凡的,值得注意的
参考例句:
  • She has made remarkable headway in her writing skills.她在写作技巧方面有了长足进步。
  • These cars are remarkable for the quietness of their engines.这些汽车因发动机没有噪音而不同凡响。
27 peculiar cinyo     
adj.古怪的,异常的;特殊的,特有的
参考例句:
  • He walks in a peculiar fashion.他走路的样子很奇特。
  • He looked at me with a very peculiar expression.他用一种很奇怪的表情看着我。
28 nucleus avSyg     
n.核,核心,原子核
参考例句:
  • These young people formed the nucleus of the club.这些年轻人成了俱乐部的核心。
  • These councils would form the nucleus of a future regime.这些委员会将成为一个未来政权的核心。
29 collapse aWvyE     
vi.累倒;昏倒;倒塌;塌陷
参考例句:
  • The country's economy is on the verge of collapse.国家的经济已到了崩溃的边缘。
  • The engineer made a complete diagnosis of the bridge's collapse.工程师对桥的倒塌做了一次彻底的调查分析。
30 density rOdzZ     
n.密集,密度,浓度
参考例句:
  • The population density of that country is 685 per square mile.那个国家的人口密度为每平方英里685人。
  • The region has a very high population density.该地区的人口密度很高。
31 specified ZhezwZ     
adj.特定的
参考例句:
  • The architect specified oak for the wood trim. 那位建筑师指定用橡木做木饰条。
  • It is generated by some specified means. 这是由某些未加说明的方法产生的。
32 visualizing d9a94ee9dc976b42816302d5ab042d9c     
肉眼观察
参考例句:
  • Nevertheless, the Bohr model is still useful for visualizing the structure of an atom. 然而,玻尔模型仍有利于使原子结构形象化。
  • Try to strengthen this energy field by visualizing the ball growing stronger. 通过想象能量球变得更强壮设法加强这能量场。
33 straightforward fFfyA     
adj.正直的,坦率的;易懂的,简单的
参考例句:
  • A straightforward talk is better than a flowery speech.巧言不如直说。
  • I must insist on your giving me a straightforward answer.我一定要你给我一个直截了当的回答。
34 molecules 187c25e49d45ad10b2f266c1fa7a8d49     
分子( molecule的名词复数 )
参考例句:
  • The structure of molecules can be seen under an electron microscope. 分子的结构可在电子显微镜下观察到。
  • Inside the reactor the large molecules are cracked into smaller molecules. 在反应堆里,大分子裂变为小分子。
35 discrepancy ul3zA     
n.不同;不符;差异;矛盾
参考例句:
  • The discrepancy in their ages seemed not to matter.他们之间年龄的差异似乎没有多大关系。
  • There was a discrepancy in the two reports of the accident.关于那次事故的两则报道有不一致之处。
36 unifies 54b1c179f10a082f533af0344f935f7a     
使联合( unify的第三人称单数 ); 使相同; 使一致; 统一
参考例句:
  • Team-Based Concurrent Engineering Unifies your design team and aids complex debug efforts. 以团队为基础的并行工程使你的设计团队融为一体并协助复杂的调试。
  • He saw God's complete moral excellence that unifies His attributes. 他看见上帝完美的道德贯穿着祂所有的属性。
37 unified 40b03ccf3c2da88cc503272d1de3441c     
(unify 的过去式和过去分词); 统一的; 统一标准的; 一元化的
参考例句:
  • The teacher unified the answer of her pupil with hers. 老师核对了学生的答案。
  • The First Emperor of Qin unified China in 221 B.C. 秦始皇于公元前221年统一中国。

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