Non Dubito Essays in the Self-as-an-End Tradition
← 一百零八种人生 ← Great Lives
一百零八种人生 · 089 / 108 · 我们怎样知道
Great Lives · 089 / 108 · How We Know

汤川秀树:看不见的粒子

Yukawa: The Unseen Particle

Han Qin (秦汉)

一、看不见的粒子

1934年。大阪帝国大学。一个二十七岁的讲师在想一个问题。

原子核里有质子和中子。质子带正电,同号电荷互相排斥。那么,这么多质子挤在那么小的地方,原子核为什么还能结合在一起?

一定还有别的作用。在原子核的尺度上,它能抵住电磁排斥;距离稍远,它又很快减弱。这个既强又短的作用,不能只靠给它起个名字就算解释完了。

汤川秀树想:也许核子之间的作用,可以通过一种尚未发现的粒子的交换来描述。后来讲这个故事,常会用两个人抛接球作比喻。比喻让“交换”有了样子,却解释不了为什么会吸引;真正的答案要进入量子理论,不能靠扔球把两个人拉近。

那个“球”是什么?

汤川把作用距离与粒子质量联系起来,估出一种比电子重、比质子轻的粒子。这不是随手在空白处添个名字。那个新东西必须符合已经知道的核力尺度。

没有实验看见过它。但也不能说当时世界只知道质子、中子、电子三种粒子:光子、正电子早已进入物理学。汤川要加的,不是神奇的“第四种”,而是一个有具体任务的新成员。

1935年,他发表《论基本粒子的相互作用》。介子这个后来沿用的名字,带着“中间”的意思。今天的核力理论比那篇论文复杂得多,但他提出的路真正走通了一段。

论文最初没有立即得到广泛注意。从这里到承认,隔着理论讨论、实验与等待。不必替整个西方安排一次轻蔑的摇头,才能看见一个年轻研究者当时的孤独。

1930年代后期,宇宙线中的一种新粒子让人看到了希望,后来却发现它是μ子,不承担预期的强相互作用角色。1947年,拉蒂斯、奥基亚利尼、鲍威尔等人的工作辨认出π介子。质量相近,还不够;粒子怎样行动,同样要问。

1949年,汤川获得诺贝尔物理学奖,成为日本第一位诺贝尔奖得主。战后重建中的社会从中看到的,不只是一项专业荣誉,还有重新创造的可能。

但这篇文章关心的,不只是奖。它还想问:在发现之前,一个人怎样给尚未被看见的东西留出位置?

二、庄子

汤川小时候跟祖父读四书:《论语》《孟子》《大学》《中庸》。先跟着念,未必先懂。古老的句子以声音进入生活,意思可以迟一些才来。

到中学阶段,他开始亲近老庄。《庄子》成了他长期阅读的书。

后来,他的随笔被收入英文集《创造力与直觉:一个物理学家看东方与西方》。写方程的人,也在想一件不容易写成方程的事:想象力是怎样长出来的?

庄子给了他什么?

梦蝶让醒着的我不再那么稳固,濠梁的鱼让“你怎么知道”变得有趣,无用之树让惯常的尺度停了一下。这些故事不是取消所有区别,而是让你发现:自己一直站在某一种看法里面。

汤川写过鱼之乐,也留下“知鱼乐”的书法。这里有他对自然的亲近与共感。不过,能够想象鱼的快乐,并不等于已经证明鱼在快乐;愿意听见世界,与已经知道答案,是两回事。

对后来提出新粒子的人,这样的阅读可以是土壤。土壤不是果实的说明书。它不替物理学推导质量,却可能让一个人在答案尚未出现时,不急着把问题关掉。

三、一道可以打开的缝

这一组从孔德走来,反复碰到一个问题:什么才算知道?要求知识接受检验,有它的力量;把尚未进入现成尺度的问题都关在门外,又有另一种危险。

但不能把笛卡尔、康德、孔德、维也纳学派连成一支整齐的队伍,仿佛他们都在说同一句话:眼睛看不见的,就不许想。

也不能说东方从来没有画过界线。

各个传统内部都有争论,有大胆的想象,也有僵硬的边界。一个人的阅读来路,比地图上的东西两半复杂得多。

《中庸》的诚、佛教的空、庄子的变化,谈的也不是同一件事。“色即是空”不能翻成“可见和不可见没有区别”,更不能拿来担保一种尚未发现的粒子必定存在。

这不妨碍另一种读法:古书可以松动习惯,让我们发现问题还有别的问法。它给出的未必是答案,有时只是容许你换一个方向看。

汤川的物理学也没有绕过前人。核力、量子场、海森堡与费米等人的工作,都在他的问题里。欧洲物理学家同样会提出未被观测的对象;本系列刚写过的狄拉克,就是显眼的例子。

汤川的勇气不是不需要证据,而是在证据还不完整时,提出一个能让后来证据来回答的问题。μ子与π介子的区别提醒我们:现实不负责迁就一个漂亮的猜想。

所以,那道缝不属于某一个文明。有人愿意把它打开,又愿意等世界来纠正自己。这里,想象与检验不是两边的敌人。

四、他和狄拉克

狄拉克预言反物质,汤川预言介子。两人都在实验确认之前,让理论指向一种新粒子。这个相似值得保留。

他们着力的地方,却不完全一样。

读狄拉克,方程内部的困难格外醒目。负能量解不是一个负号自动宣布了正电子;从形式到物理解释,中间仍有犹豫、修正和想象。

读汤川,核力很强却传不远的难题站在前面。需要怎样的场、怎样的粒子质量,才能让这个距离有解释?图像与计算在这里互相推动,不是一幅抛球图画独自生出了理论。

那么,庄子在哪里?

也许在更早、更不容易追踪的地方:一个人读惯了变化与视角交错的故事,面对新的问题,未必只愿意在旧抽屉里找答案。我们可以这样理解阅读的作用,却不能据此重建他发现那一刻的全部心理。

《庄子》没有给出介子的公式。说它滋养过汤川,与说介子理论由梦蝶推出来,隔着很大的一步。文学启发不需要伪装成科学证明,才配得到尊重。

狄拉克也需要想象,汤川也受方程约束。把一个人写成只有数学、另一个人写成只有东方直觉,反而会把两个人都写小。

不妨把他们放在两张相邻的书桌旁。一张桌上,数学形式正在逼问物理;另一张桌上,物理难题正在寻找形式。两个人都要抬头,看看世界是否答应。

五、西田几多郎

来到京都,还会遇见本系列写过的西田几多郎。

汤川求学时,西田的哲学是京都重要的思想资源。京都大学的介绍也记下他听西田讲课的经历。这条接触值得保留,但听过课,不等于某个物理发现已有了哲学出处。

西田的“绝对无”尤其容易被拿来作桥:从没有看见的粒子,走向后来发现的粒子,听起来像从无到有。可是,未观测是知识状态,“绝对无”是哲学问题,不是一间等待粒子出库的仓库。

龙树的空也不是那个仓库。它不指一种充满意念、等待变成物质的原料。把几种“无”放在一起,可以发问;把它们当成同一个东西,就会把差异抹掉。

这里更值得想的,是一个青年可以同时听哲学、学物理,而不必先交出其中一半自己。困难的问题未必按院系分配,读书的人也未必只在一种语言里成长。

一间教室里带出的疑问,可能陪他走进另一间教室。不是替那里的工作给出答案,而是让他还愿意继续问。

六、旅人

汤川的自传叫《旅人》——Tabibito。

这个名字很合适。他在京都、大阪工作,后来到普林斯顿、哥伦比亚大学,又回到京都。地理上的往返之外,还有书与书、学科与学科之间的往返。

我们不必把每一次往返都写成“东方和西方终于合一”。同一个人身上,可以有古书的声音、现代数学的训练、独处时的疑问,也有同事的反驳。它们并不总是和谐,却可以共同参与创造。

这让本组的认识问题更宽了一点。屈原已经带来过另一种声音,龙树也并非只是否定一切;现在汤川把我们带回一项具体工作,看不同来路的阅读怎样与计算、实验相遇。

旅人没有因为走过一座桥,就宣布两岸已经相同。他只是不必把曾经读过的书,永远留在出发的地方。

七、战后

1945年8月。广岛。长崎。

面对这些地名,“理解原子核”不再只是书桌上的句子。知识能够进入怎样的制度,成为谁手里的力量,落到谁的生活上,都不能由一个正确的方程替我们回答。

但也不能画一根简单的线,把汤川的介子论文直接接到原子弹上。裂变不是“撕开强核力”;重原子核分裂成总体更紧密结合的产物,能量随之释放。介子理论并不是造出原子弹的直接技术原理。

1949年的奖,仍然是战后日本的重要鼓舞。它不使一个国家的苦难或责任自动消失,却让许多人看见,废墟之后还有创造的工作可以做。

1955年,汤川签署《罗素—爱因斯坦宣言》,后来参与帕格沃什和平活动。他不是要求人类停止认识原子核,而是要求人们认真面对核武器可能毁掉什么。

想到诺贝尔,也能看见知识、技术、和平之间的张力。但不必替两个人写同一则赎罪故事。会发现,还不够;发现以后如何选择,谁承担后果,需要科学家,也需要公众与制度共同回答。

八、桥头

在这座想象中的桥上,汤川走得很安静。

他喜欢读书,也需要独处。但我们不必因此把同事、讨论与合作从他的创造里擦掉。安静的人同样生活在别人的问题和回答之间。

他上了桥。看了看四周。

孔德,波普尔,费希特,撒切尔,伍尔夫。还有屈原和龙树。这里的人不能只按欧洲与亚洲分成两队;每个人都带着自己的路。

汤川在桥中间停下来。不是两种文明的裁判,只是一个习惯在不同书页间来回走的人。

他看见狄拉克。我们可以想象,两人不急着比较谁先有图像、谁先有方程。他们知道,一张写满符号的纸离世界还有距离;让世界回答,才能知道哪里走对了。

他看见龙树。这里不再有一片“充满意识的空”,供物理学家取出粒子。或许只有一个提醒:别把自己的解释,认成了不再需要条件的东西。

他从口袋里拿出一本旧书。《庄子》。这本磨损的书是我们放进场景的,不是传记证明他终身随身携带的那一本。

他翻到梦蝶,又合上。桥下有水。也许还有鱼。

蝴蝶不是介子,梦也不是实验。故事没有提前说出核物理的答案。它可以先让一个人停一下,发现自己熟悉的世界,还容得下另一种问法。

汤川把书收好。桥还在前面。古书陪他走了一段,剩下的,要由他继续问,也由世界回答。[1][2][3]

[1] 物理史参汤川1949年诺贝尔讲演与1947年π介子发现论文。交换球仅为通俗图像,不能用经典抛球解释吸引;μ子不是承担核力角色的π介子,现代分类也不再把μ子列为介子。现代理论中π介子参与核子间剩余强相互作用的描述,不是全部强相互作用的唯一载体。

[2] 童年诵读参汤川《鱼之乐》的公开节选;《庄子》的阅读与书法、西田讲课的接触参京都大学资料。本文把古典阅读视为想象力的可能土壤,不据此断定发现瞬间的心理顺序。未能核定原稿凯默尔引语的准确出处,故撤去直接引文。《旅人》与《创造力与直觉》可作延伸阅读,不声称本轮通读全书。

[3] 1955年《罗素—爱因斯坦宣言》原文列有汤川署名。核力理论、裂变机制与武器制造不可直接等同。关于不同传统的比较是本文解读;西田的无、龙树的空和未观测不是同一个概念。桥头人物、旧书和会面均为文学虚构,梦蝶不是介子理论的预先发现。

Hideki Yukawa — Meson theory in its developments (Nobel lecture, 1949) · Lattes, Occhialini and Powell — Observations on the Tracks of Slow Mesons in Photographic Emulsions (1947) · Hideki Yukawa — The Happy Fish (public opening excerpt, pp. 23–29) · 京都大学 — 湯川秀樹博士の扁額について · Kyoto University — Japan’s philosophy research · Pugwash — The Russell–Einstein Manifesto (1955) · US Department of Energy — Nuclear Physics, DOE-HDBK-1122-99, Module 1.04 · Tabibito — 1982 English edition (bibliographic record)

I. The Unseen Particle

1934. Osaka Imperial University. A twenty-seven-year-old lecturer is turning a problem over in his mind.

An atomic nucleus contains protons and neutrons. Protons carry positive charge, and like charges repel. How can so many protons stay bound together in such a small space?

Something else must be at work. At nuclear distances it can overcome electrical repulsion; farther away it rapidly weakens. Giving this strong, short-range interaction a name does not yet explain it.

Hideki Yukawa asks whether the interaction could be described through the exchange of an undiscovered particle. Later explanations often picture two people tossing a ball. That makes exchange imaginable, but it does not explain attraction. Ordinary ball throwing will not pull the throwers together. The real work belongs to quantum theory.

What, then, is the “ball”?

Relating the force’s range to the particle’s mass, Yukawa estimates something heavier than an electron but lighter than a proton. This is not a name casually inserted into a blank. The new entity has to answer to the nuclear scale already known.

No experiment has seen it. But physics does not know only three particles: photons and positrons are already part of the picture. Yukawa is not adding a magical fourth member. He is proposing a new one with a particular job to do.

His paper, On the Interaction of Elementary Particles, appears in 1935. The later name meson carries the sense of something intermediate. Today’s account of nuclear forces is more complex, but the path he opened proved genuinely productive.

The paper does not immediately attract wide attention. Discussion, experiments and waiting separate the proposal from recognition. We need not stage a collective Western sneer to appreciate a young researcher’s isolation.

In the later 1930s, a particle found in cosmic rays seems promising. It turns out to be the muon, without the expected strong-interaction role. In 1947, work by Lattes, Occhialini, Powell and others identifies the pion. Similar mass is not enough. How the particle behaves also matters.

In 1949 Yukawa receives the Nobel Prize in Physics, Japan’s first Nobel laureate. A society rebuilding after war finds more than professional distinction in the award: the possibility of creating something again.

But the prize is not our only concern. Before a discovery, how does someone make room for what has not yet been seen?

II. Zhuangzi

As a child, Yukawa reads the Four Books with his grandfather: the Analects, Mencius, the Great Learning and the Doctrine of the Mean. First he repeats the words, not necessarily understanding them. Old sentences enter life as sounds. Meaning can arrive later.

At secondary school he turns toward Laozi and Zhuangzi. The Zhuangzi becomes a lasting companion in his reading.

His essays will later appear in the English collection Creativity and Intuition: A Physicist Looks at East and West. A man who writes equations also asks a question less easily put into one: how does imagination grow?

What did Zhuangzi give him?

The butterfly dream unsettles the waking self. The happy fish make “How do you know?” newly interesting. A supposedly useless tree interrupts our usual measure of usefulness. These stories do not abolish every distinction. They let you notice that you have been looking from somewhere all along.

Yukawa wrote about the fish’s happiness and brushed the characters for “knowing the joy of fish” in calligraphy. There is affection for nature here, a willingness to approach it sympathetically. Yet imagining the fish’s happiness does not establish that it is happy. Listening to the world and already knowing the answer are different things.

For a future proposer of a new particle, such reading can be soil. Soil is not an instruction manual for the fruit. It cannot derive a mass for physics. It might, however, help someone keep a question open before an answer arrives.

III. A Crack That Can Open

Since Comte, this group of essays has kept asking what counts as knowing. Requiring knowledge to face tests has real force. Shutting out every question that does not yet fit our measures carries a danger of its own.

But Descartes, Kant, Comte and the Vienna Circle cannot be marched into a single file, all repeating: if the eye cannot see it, thought must not touch it.

Nor can we say that the East never drew boundaries.

Traditions contain disputes, adventurous speculation and rigid exclusions. The reading that forms one person is more complicated than a map divided down the middle.

The Doctrine of the Mean’s sincerity, Buddhist emptiness and Zhuangzi’s transformations do not all name the same thing. “Form is emptiness” does not mean visible and invisible are indistinguishable. It cannot guarantee an undiscovered particle’s existence.

Another possibility remains. An old book can loosen a habit and make another way of asking available. Its gift need not be an answer. Sometimes it is permission to turn your head.

Yukawa’s physics, meanwhile, does not bypass earlier work. Nuclear forces, quantum fields, Heisenberg and Fermi all belong to his problem. European physicists also proposed unobserved entities. Dirac, whom this series has just considered, is an obvious example.

Yukawa’s courage consists not in dispensing with evidence, but in proposing a question that later evidence can answer. The difference between muon and pion is a reminder: reality has no obligation to accommodate a beautiful guess.

The crack, then, belongs to no single civilization. Someone opens it and remains willing to be corrected by the world. Imagination and testing need not face each other as enemies.

IV. Yukawa and Dirac

Dirac predicted antimatter; Yukawa predicted the meson. Both allowed theory to point toward a new particle before experimental confirmation. That resemblance is worth keeping.

Their emphases differ, though.

With Dirac, difficulties inside an equation come sharply into view. Negative-energy solutions did not automatically announce the positron. Between the formal result and its physical interpretation lay hesitation, revision and imagination.

With Yukawa, the puzzle of a force both powerful and short-ranged stands forward. What field and what particle mass could account for that reach? Calculation and images push each other along. A picture of two ball throwers does not give birth to the theory by itself.

Where, in this, is Zhuangzi?

Perhaps somewhere earlier and harder to trace. Someone accustomed to stories of transformation and shifting viewpoints may not look only in old drawers for a new answer. We can understand reading this way without claiming to reconstruct every thought at the moment of discovery.

The Zhuangzi contains no meson formula. Saying it nourished Yukawa is very different from deriving his theory from the butterfly dream. Literary inspiration need not dress as scientific proof to deserve respect.

Dirac needed imagination too. Yukawa too was constrained by equations. Assigning mathematics to one man and Eastern intuition to the other makes both smaller.

Put them at neighboring desks instead. At one, mathematical form presses a question upon physics. At the other, a physical problem searches for form. Both must look up to see whether the world agrees.

V. Nishida Kitarō

In Kyoto we also encounter Nishida Kitarō, already present in this series.

During Yukawa’s student years, Nishida’s philosophy was a major intellectual presence there. Kyoto University’s account also records Yukawa attending his lectures. The contact matters; it does not furnish a philosophical origin for every later discovery.

Nishida’s absolute nothingness invites an especially tempting bridge. An unseen particle becomes a discovered particle: does that not sound like being emerging from nothing? Yet unobserved describes a state of knowledge. Absolute nothingness is a philosophical question, not a warehouse awaiting a shipment of particles.

Nāgārjuna’s emptiness is not that warehouse either. It is not a substance filled with ideas, waiting to become matter. Bringing different kinds of “nothing” together can start a question. Treating them as one thing erases the differences.

More interesting here is a young person able to listen to philosophy and study physics without first surrendering half of himself. Hard questions do not always respect departmental boundaries. Nor does a reader grow in only one language.

A question carried out of one classroom may accompany him into another. Not to answer the work being done there, but to keep him asking.

VI. The Traveler

Yukawa calls his autobiography Tabibito: The Traveler.

The name fits. He works in Kyoto and Osaka, later goes to Princeton and Columbia, and returns to Kyoto. Alongside these journeys run others, between books and between disciplines.

Not every crossing needs to end with East and West becoming one. A person can carry the sound of old books, training in modern mathematics, solitary doubts and colleagues’ objections. They do not always harmonize. They can nevertheless take part in the same act of creation.

Our question about knowing grows a little wider. Qu Yuan has already brought another voice; Nāgārjuna is not merely an extreme negation. Yukawa now brings us back to a particular piece of work, where reading from different sources meets calculation and experiment.

A traveler does not announce that two banks are identical because he has crossed a bridge. He simply need not leave every book he has read forever at his point of departure.

VII. After the War

August 1945. Hiroshima. Nagasaki.

Beside those names, understanding the nucleus can no longer remain a sentence on a desk. What institutions will knowledge enter? Whose power will it become, and whose lives will it reach? A correct equation cannot answer those questions for us.

Still, no simple line runs from Yukawa’s meson paper to the atomic bomb. Fission is not the tearing apart of the strong force. A heavy nucleus splits into products that are, in total, more tightly bound, releasing energy. Meson theory was not the direct technical principle behind building the bomb.

The 1949 prize remains an important encouragement in postwar Japan. It does not automatically erase a country’s suffering or responsibilities. It shows many people that creative work is still possible after devastation.

In 1955 Yukawa signs the Russell–Einstein Manifesto and later participates in Pugwash peace activities. He is not asking humanity to stop understanding nuclei. He is asking it to face what nuclear weapons might destroy.

Nobel’s name brings another tension among knowledge, technology and peace to mind. But neither life needs the same tidy story of atonement. Discovery is not enough. Choices afterward, and the distribution of their consequences, require scientists, publics and institutions to answer together.

VIII. The Bridgehead

On this imagined bridge, Yukawa arrives quietly.

He likes books and needs solitude. That need not erase colleagues, discussion and collaboration from his creativity. Quiet people too live among other people’s questions and replies.

He steps onto the bridge and looks around.

Comte, Popper, Fichte, Thatcher, Woolf. Qu Yuan and Nāgārjuna too. These people cannot simply be assigned to European and Asian teams. Each has brought a path of their own.

Yukawa pauses in the middle. Not an umpire between civilizations. Someone accustomed to walking back and forth between different pages.

He sees Dirac. We can imagine neither hurrying to compare who had an image first and who had an equation. Both know that a page full of symbols remains at a distance from the world. Only its response can tell them where they have found a way through.

He sees Nāgārjuna. No emptiness full of consciousness waits here for physicists to extract particles. Perhaps there is only a reminder: do not mistake your explanation for something that no longer depends on conditions.

He takes an old book from his pocket. The Zhuangzi. We have put this worn volume into the scene; no biography is being invoked to prove he carried this particular copy all his life.

He opens the butterfly dream, then closes the book. Water moves below the bridge. Perhaps there are fish.

A butterfly is not a meson, a dream not an experiment. The story did not anticipate nuclear physics. It can first make a person pause, and notice that the familiar world still has room for another way of asking.

Yukawa puts the book away. The bridge continues ahead. An old book has accompanied him this far. What remains is for him to keep asking, and for the world to answer.[1][2][3]

[1] Physics: Yukawa’s 1949 Nobel lecture and the 1947 pion reports. The ball is an illustration, not a classical explanation of attraction. The muon is not the pion and is no longer classified as a meson. In modern accounts, pions describe aspects of the residual strong interaction between nucleons, not every strong interaction as its sole carrier.

[2] Childhood recitation: the public excerpt of Yukawa’s The Happy Fish. Kyoto University documents his Zhuangzi calligraphy and contact with Nishida’s lectures. Reading is treated as possible nourishment for imagination, not evidence of an exact psychological sequence. The original Kemmer quotation was removed because its precise source was not established. Tabibito and Creativity and Intuition are further reading, not books claimed to have been read in full for this revision.

[3] The 1955 Russell–Einstein Manifesto lists Yukawa among its signatories. Nuclear-force theory, fission and weapons manufacture are not interchangeable. Cross-tradition comparisons are this essay’s interpretations; Nishida’s nothingness, Nāgārjuna’s emptiness and an unobserved object are distinct. The bridge, meetings and old book are literary inventions, not an ancient anticipation of meson theory.

Hideki Yukawa — Meson theory in its developments (Nobel lecture, 1949) · Lattes, Occhialini and Powell — Observations on the Tracks of Slow Mesons in Photographic Emulsions (1947) · Hideki Yukawa — The Happy Fish (public opening excerpt, pp. 23–29) · 京都大学 — 湯川秀樹博士の扁額について · Kyoto University — Japan’s philosophy research · Pugwash — The Russell–Einstein Manifesto (1955) · US Department of Energy — Nuclear Physics, DOE-HDBK-1122-99, Module 1.04 · Tabibito — 1982 English edition (bibliographic record)