A theory of everything | Garrett Lisi

508,696 views ・ 2008-10-16

TED


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譯者: YaoYang Han 審譯者: K. C. Peng
00:20
Whoa, dude.
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看看這個嚇人的方程式 酷
00:23
(Laughter)
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00:24
Check out those killer equations. Sweet.
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00:30
Actually, for the next 18 minutes I'm going to do the best I can
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在接下來的18分鐘裡 我會盡自己所能
00:34
to describe the beauty of particle physics without equations.
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在不用方程式的前提之下 讓大家了解粒子學的美妙
00:37
It turns out there's a lot we can learn from coral.
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我們發現到 我們能從珊瑚身上學到很多東西
00:41
A coral is a very beautiful and unusual animal.
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珊瑚是種奇特及美妙的動物
00:44
Each coral head consists of thousands of individual polyps.
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每一個珊瑚群都由成千上萬的珊瑚組成
00:47
These polyps are continually budding and branching
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這些珊瑚會不停的生長及分裂
00:50
into genetically identical neighbors.
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變成基因相同的群體
00:53
If we imagine this to be a hyperintelligent coral,
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想像如果這些珊瑚擁有很高的智商
我們就能抓出其中的一個珊瑚 並且問他一個簡單的問題
00:56
we can single out an individual and ask him a reasonable question.
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00:59
We can ask how exactly he got to be in this particular location
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你為什麼會剛好出現在這
01:02
compared to his neighbors --
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而不是其他的地方
01:04
if it was just chance, or destiny, or what?
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是剛好 命運 還是其他的原因
01:08
Now, after admonishing us for turning the temperature up too high,
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在我們收到全球暖化的警告之後
他回答我們 這問題真是愚蠢極了
01:12
he would tell us that our question was completely stupid.
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01:15
These corals can be kind of mean, you see,
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這珊瑚有時候還真不客氣
01:17
and I have surfing scars to prove that.
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我衝浪時所受的傷就是證明
01:19
But this polyp would continue and tell us
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這珊瑚繼續回答我們
01:21
that his neighbors were quite clearly identical copies of him.
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他旁邊的這些珊瑚都是跟他一模一樣的複製品
01:24
That he was in all these other locations as well,
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他跟其他珊瑚聚在一起成為一個整體
01:27
but experiencing them as separate individuals.
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只是表現為不同的個體而已
01:30
For a coral, branching into different copies
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對於珊瑚來說 分裂出不同個體
01:32
is the most natural thing in the world.
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是再自然不過的事情了
01:35
Unlike us, a hyperintelligent coral
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和我們不同的是 高智商的珊瑚已具備了
01:38
would be uniquely prepared to understand quantum mechanics.
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理解量子力學的能力
01:42
The mathematics of quantum mechanics
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量子力學透過數學方法準確的描述
01:43
very accurately describes how our universe works.
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宇宙的運行模式
01:46
And it tells us our reality is continually branching into different possibilities,
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它告訴我們 現實世界和珊瑚一樣
也具有不同可能性的發展
01:50
just like a coral.
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01:52
It's a weird thing for us humans to wrap our minds around,
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我們人類很難理解這個問題
01:55
since we only ever get to experience one possibility.
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因為每個人只能經歷一種人生
01:58
This quantum weirdness was first described
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這種量子力學的奇特現象
02:00
by Erwin Schrödinger and his cat.
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最早是由薛丁格和他的貓提出來的
02:02
The cat likes this version better.
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貓更喜歡這版本
02:03
(Laughter)
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(笑聲)
02:07
In this setup, Schrödinger is in a box with a radioactive sample
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在他的實驗裡 薛丁格待在一個具有放射物質的空間中
02:11
that, by the laws of quantum mechanics, branches into a state
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根據量子力學原理 放射物質有兩種可能情況
02:14
in which it is radiated and a state in which it is not.
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可能衰變或者不衰變
02:17
(Laughter)
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(笑聲)
02:21
In the branch in which the sample radiates,
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如果粒子發生衰變的話
會激發連鎖反應 釋放毒氣 薛丁格必死無疑
02:24
it sets off a trigger that releases poison and Schrödinger is dead.
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02:27
But in the other branch of reality, he remains alive.
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但如果薛丁格遇到另一種情況 他就能活下來
02:30
These realities are experienced separately by each individual.
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每個個體都只能經歷其中的一種情形
02:33
As far as either can tell, the other one doesn't exist.
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而另一種可能對他來說並不存在
02:36
This seems weird to us,
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這對我們來說很難理解 因為我們每一個人
02:37
because each of us only experiences an individual existence,
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都只能了解自己所處的狀態
02:40
and we don't get to see other branches.
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而感覺不到其他狀態
02:42
It's as if each of us, like Schrödinger here,
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我們和薛丁格一樣,如同那些
02:44
are a kind of coral branching into different possibilities.
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被分化成不同的狀態的珊瑚
02:49
The mathematics of quantum mechanics tells us
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量子力學用數學的方法告訴我們
02:51
this is how the world works at tiny scales.
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這就是微小世界的法則
02:53
It can be summed up in a single sentence:
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用一句話來下結論
02:56
Everything that can happen, does.
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所有一切可能發生的事情 都在發生
02:58
That's quantum mechanics.
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這就是量子力學
03:00
But this does not mean everything happens.
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但是這並不代表任何事情都會發生
03:02
The rest of physics is about describing what can happen and what can't.
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物理學的其他方向則能夠描述哪些可以發生
哪些不可以
03:07
What physics tells us is that everything comes down to geometry
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物理學告訴我們 一切都可用幾何學解釋
03:10
and the interactions of elementary particles.
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只有在這些相互作用
都剛剛好平衡的時候
03:13
And things can happen only if these interactions are perfectly balanced.
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事情才有可能發生
03:18
Now I'll go ahead and describe how we know about these particles,
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現在我將講說明我們對這些粒子的認識
它們是什麼 而它們的平衡機制如何運作
03:22
what they are and how this balance works.
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03:25
In this machine, a beam of protons and antiprotons
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在此裝置中 質子和反質子
03:28
are accelerated to near the speed of light
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都被加速到接近光速的速度
03:30
and brought together in a collision, producing a burst of pure energy.
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然後相撞 產生出一股巨大的純能量
03:34
This energy is immediately converted into a spray of subatomic particles,
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這些能量迅速轉化
以亞原子形式噴射出來
03:38
with detectors and computers used to figure out their properties.
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檢測儀和電腦將對他們的性質加以分析
03:41
This enormous machine --
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這個位於日內瓦歐核中心的巨型機器名叫
03:42
the Large Hadron Collider at CERN in Geneva --
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大型強子對撞機
03:44
has a circumference of 17 miles and, when it's operating,
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周長有17英里
運轉時 對撞機消耗的能量相當於
03:47
draws five times as much power as the city of Monterey.
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蒙特雷全市用電量的5倍
03:51
We can't predict specifically
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我們無法精確的猜測
03:53
what particles will be produced in any individual collision.
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哪些粒子會在每次對撞後產生
03:56
Quantum mechanics tells us all possibilities are realized.
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量子力學告訴我們一切皆有可能
03:59
But physics does tell us what particles can be produced.
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但物理學告訴我們哪些粒子有可能產生
04:02
These particles must have just as much mass and energy
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這些產生的粒子的數量和能量
04:05
as is carried in by the proton and antiproton.
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都必須擁有質子和反質子的相互平衡
04:08
Any particles more massive than this energy limit aren't produced,
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任何數量超過了這限制的粒子
都不會出現,因此我們不會看到
04:12
and remain invisible to us.
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04:15
This is why this new particle accelerator is so exciting.
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這個新型粒子加速器令人無比興奮的原因
04:18
It's going to push this energy limit seven times
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就在於它達到的能量極限
04:20
beyond what's ever been done before,
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是以前的7倍多
04:22
so we're going to get to see some new particles very soon.
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所以我們很快會看到新的粒子
04:25
But before talking about what we might see,
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在討論未知粒子之前
04:27
let me describe the particles we already know of.
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讓我先介紹下那些已知的粒子
04:30
There's a whole zoo of subatomic particles.
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亞原子多得都可以組成一間動物園了
04:33
Most of us are familiar with electrons.
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大部分人都知道電子
04:35
A lot of people in this room make a good living pushing them around.
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在場的各位的工作
有不少都和它密切相關
(笑聲)
04:38
(Laughter)
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04:39
But the electron also has a neutral partner called the neutrino,
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電子有個不帶電的夥伴叫做中子
04:42
with no electric charge and a very tiny mass.
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不帶電 且有著極小的質量
04:45
In contrast, the up and down quarks have very large masses,
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相反 上夸克和下夸克有較大的質量
04:49
and combine in threes to make the protons and neutrons inside atoms.
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把三個夸克合在一起就得到
原子裏的質子和中子
04:53
All of these matter particles come in left- and right-handed varieties,
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這些粒子分為兩類 左旋和右旋
它們都有攜帶相反電荷的反粒子
04:56
and have antiparticle partners that carry opposite charges.
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05:00
These familiar particles
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05:01
also have less familiar second and third generations,
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這些熟悉的粒子還有我們不太熟悉的
第二代和第三代 電量和第一代相同
05:05
which have the same charges as the first but have much higher masses.
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但質量更高
05:10
These matter particles all interact with the various force particles.
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粒子通過基本力相互作用
05:13
The electromagnetic force interacts with electrically charged matter
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帶電粒子通過光子傳遞電磁力
05:16
via particles called photons.
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相互作用
05:18
There is also a very weak force
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還有一種十分微弱的力很直接的叫做弱力
05:20
called, rather unimaginatively, the weak force ...
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這個力只和
05:22
(Laughter)
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05:24
that interacts only with left-handed matter.
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左旋的物質相作用
05:26
The strong force acts between quarks
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夸克以色荷為載體
05:28
which carry a different kind of charge, called color charge,
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通過強力相互作用
05:31
and come in three different varieties: red, green and blue.
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色荷分三種 紅 綠 藍
05:34
You can blame Murray Gell-Mann for these names -- they're his fault.
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這都是默里‧蓋爾曼的錯
名字是他是取的
05:38
Finally, there's the force of gravity,
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最後 就是重力 是有質量的物體
05:40
which interacts with matter via its mass and spin.
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作用於物體 的傳遞
05:43
The most important thing to understand here
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最重要的是
05:45
is that there's a different kind of charge associated with each of these forces.
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每一種力都對應有
不同的載荷
05:50
These four different forces interact with matter
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四種力通過各自粒子所攜帶的載荷
05:52
according to the corresponding charges that each particle has.
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和物質發生作用
05:56
A particle that hasn't been seen yet, but we're pretty sure exists,
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有一種我們沒見過但確信存在的粒子
稱為希格斯粒子 它使所有粒子有了質量
06:00
is the Higgs particle, which gives masses to all these other particles.
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06:03
The main purpose of the Large Hadron Collider
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大型強子對撞機的主要目的
是發現希格斯粒子 我們確信可以做到
06:06
is to see this Higgs particle, and we're almost certain it will.
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06:09
But the greatest mystery is what else we might see.
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但最大的奧秘在於我們還能看到什麼
06:13
And I'm going to show you one beautiful possibility
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我會在演講最後向你們展示
06:15
towards the end of this talk.
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這美好的可能性
06:18
Now, if we count up all these different particles
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現在 如果我們用不同的自旋和載荷
06:20
using their various spins and charges,
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計算所有可能的粒子 共有226種
06:22
there are 226.
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06:24
That's a lot of particles to keep track of.
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數目大得驚人
06:27
And it seems strange
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大自然擁有這麼多的基本粒子
06:28
that nature would have so many elementary particles.
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是多奇妙的一件事阿
06:32
But if we plot them out according to their charges,
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但如果我們按他們各自的載荷把他們畫出來
06:34
some beautiful patterns emerge.
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會出現一些美麗的圖案
06:38
The most familiar charge is electric charge.
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我們最熟悉的載荷是電荷
06:41
Electrons have an electric charge,
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電子擁有一個負電荷
06:42
a negative one,
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而夸克擁有1/3的電荷
06:44
and quarks have electric charges in thirds.
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由2個上夸克和1個下夸克
06:46
So when two up quarks and a down quark are combined to make a proton,
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生成的質子有一個正電荷
06:49
it has a total electric charge of plus one.
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06:51
These particles also have antiparticles, which have opposite charges.
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粒子還有極性相反的反粒子
06:54
Now, it turns out the electric charge
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我們發現電荷實際上
06:56
is actually a combination of two other charges:
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是另兩種載荷的結合
06:59
hypercharge and weak charge.
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超荷和弱荷
07:01
If we spread out the hypercharge and weak charge
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如果我們把超荷和弱荷分開
在這個二度載荷空間上畫出粒子的載荷
07:05
and plot the charges of particles in this two-dimensional charge space,
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07:08
the electric charge is where these particles sit
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電荷就在這些粒子的
07:10
along the vertical direction.
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垂直方向上
07:12
The electromagnetic and weak forces interact with matter
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電磁力和弱力通過超荷和弱荷
07:15
according to their hypercharge and weak charge,
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與物質相互作用
07:17
which make this pattern.
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而形成這一型式
07:18
This is called the unified electroweak model,
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我們稱之為電弱統一模型
於1967年提出
07:21
and it was put together back in 1967.
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07:24
The reason most of us are only familiar with electric charge
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因為希格斯粒子的緣故 我們只對電荷有瞭解
07:26
and not both of these is because of the Higgs particle.
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卻不知道超荷和弱荷
07:30
The Higgs, over here on the left, has a large mass
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左邊的希格斯粒子質量很大
07:33
and breaks the symmetry of this electroweak pattern.
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破壞了電弱型式的對稱性
07:35
It makes the weak force very weak by giving the weak particles a large mass.
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通過給弱子較大的質量
使弱力更加弱
07:39
Since this massive Higgs sits along the horizontal direction in this diagram,
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由於大量的希格斯粒子在水準方向分佈
產生電磁力的光子仍然沒有質量
07:43
the photons of electromagnetism remain massless
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07:46
and interact with electric charge along the vertical direction
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而且在載荷空間中和電荷
07:48
in this charge space.
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相互作用
07:52
So the electromagnetic and weak forces
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所以電磁力和弱力在這個二度空間中
07:54
are described by this pattern of particle charges
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通過粒子載荷的型式表示出來
07:56
in two-dimensional space.
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07:57
We can include the strong force by spreading out its two charge directions
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我們可以把強力沿兩個載荷的方向表示出來
然後將載荷用夸克形式
08:02
and plotting the charges of the force particles in quarks
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沿這兩個方向畫出來
08:05
along these directions.
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08:07
The charges of all known particles
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所有已知粒子的載荷可以
08:09
can be plotted in a four-dimensional charge space,
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在四度空間中畫出來 然後投影到
08:11
and projected down to two dimensions like this so we can see them.
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二度空間 以便我們能觀察到
08:14
Whenever particles interact, nature keeps things in a perfect balance
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無論粒子如何作用 自然會在這四個載荷方向上
08:18
along all four of these charge directions.
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保持完美的平衡
08:21
If a particle and an antiparticle collide,
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一個粒子如果和它的反粒子相撞 會產生能量
08:23
it creates a burst of energy and a total charge of zero
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四個電荷方向的載荷疊加變為零
08:26
in all four charge directions.
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08:28
At this point, anything can be created
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這樣 只要保持能量相同和載荷總量為零
08:30
as long as it has the same energy and maintains a total charge of zero.
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可以產生任何物質
08:34
For example, this weak force particle and its antiparticle
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比如說 這個弱子和它的反粒子
08:37
can be created in a collision.
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可以在碰撞中產生
08:39
In further interactions, the charges must always balance.
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在之後的相互作用中 載荷必須保持平衡
08:42
One of the weak particles could decay into an electron and an antineutrino,
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一個弱子可以衰退成一個電子
和一個反中微子
08:47
and these three still add to zero total charge.
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而這三個的總載荷仍然是零
08:50
Nature always keeps a perfect balance.
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大自然總是會保持完美的平衡
08:53
So these patterns of charges are not just pretty.
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所以這些電荷的型式不僅漂亮
還告訴我們 什麼樣的相互作用是符合規則的
08:56
They tell us what interactions are allowed to happen.
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08:58
And we can rotate this charge space in four dimensions
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如果在四度空間中旋轉載荷空間
09:01
to get a better look at the strong interaction,
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可以從更好的角度觀察強相互作用
也就是這個美麗的對稱六角形結構
09:04
which has this nice hexagonal symmetry.
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09:06
In a strong interaction, a strong force particle,
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在強相互作用中 強子 比如說這個
09:09
such as this one,
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09:10
interacts with a colored quark, such as this green one,
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會和有色夸克相互作用 比如這個綠夸克
這樣的作用會讓夸克帶上不同的色荷 比如這個紅夸克
09:14
to give a quark with a different color charge -- this red one.
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09:18
And strong interactions are happening millions of times
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強相互作用每秒鐘會在我們身體的
每個原子裏發生上百萬次
09:21
each second in every atom of our bodies,
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09:23
holding the atomic nuclei together.
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使原子核保持一體
09:27
But these four charges corresponding to three forces
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但是和三種力相對應的這四種載荷
09:30
are not the end of the story.
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還不是終點
09:32
We can also include two more charges corresponding to the gravitational force.
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我們還可以根據重力
導入兩個載荷
導入後 每個粒子會有
09:36
When we include these,
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09:37
each matter particle has two different spin charges,
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自旋向上和自旋向下兩種自旋載荷
09:40
spin-up and spin-down.
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09:42
So they all split and give a nice pattern in six-dimensional charge space.
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若把它們全部分開 會在六度載荷空間中
形成漂亮的圖案
09:46
We can rotate this pattern in six dimensions
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在六度空間中將這個圖案進行旋轉
我們會發現它十分漂亮
09:49
and see that it's quite pretty.
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09:53
Right now, this pattern matches our best current knowledge
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這個圖案把我們已知的
09:57
of how nature is built at the tiny scales of these elementary particles.
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自然界在微觀小世界中的粒子組成
完全呈現出來了
10:01
This is what we know for certain.
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這是我們能確定的
10:03
Some of these particles are at the very limit
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其中的一些粒子
在實驗中很難看到
10:05
of what we've been able to reach with experiments.
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10:07
From this pattern
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從這個規則中 我們瞭解了微小世界的粒子組成
10:08
we already know the particle physics of these tiny scales --
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宇宙在這種微小世界中的運行模式
10:12
the way the universe works at these tiny scales is very beautiful.
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是異常美麗的
10:17
But now I'm going to discuss some new and old ideas
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接下去 我想講一下關於未知領域的
10:19
about things we don't know yet.
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一些新的老觀念
10:22
We want to expand this pattern using mathematics alone,
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我們把這個型式規則 用數學方法進一步擴展
看看能不能俯瞰全貌
10:25
and see if we can get our hands on the whole enchilada.
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10:27
We want to find all the particles and forces
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我們希望找到構成宇宙的
10:29
that make a complete picture of our universe.
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所有種類的粒子和力量
10:32
And we want to use this picture to predict new particles
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然後在獲得更高能量進行實驗之前
10:34
that we'll see when experiments reach higher energies.
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用這幅規則預測新的粒子
10:39
So there's an old idea in particle physics
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量子物理學的舊觀念認為
10:41
that this known pattern of charges,
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這個不對稱的載荷圖案
10:44
which is not very symmetric,
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10:45
could emerge from a more perfect pattern that gets broken --
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源自於一個更完美的圖案
10:48
similar to how the Higgs particle breaks the electroweak pattern
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跟希格斯粒子使電弱圖案分裂
10:51
to give electromagnetism.
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產生電磁力是一個道理
10:53
In order to do this, we need to introduce new forces
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因此 我們要導入含有
10:56
with new charge directions.
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新的載荷方向的新的力量
10:59
When we introduce a new direction,
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在導入新方向的時候 我們要猜測
11:01
we get to guess what charges the particles have along this direction,
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在這個方向上粒子帶有什麼樣的載荷
11:04
and then we can rotate it in with the others.
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然後我們就能讓它和其他粒子一起旋轉
11:08
If we guess wisely, we can construct the standard charges
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如果猜對的話 我們就可以在六度載荷空間中
11:11
in six charge dimensions as a broken symmetry
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構造標準載荷集 作為更完美的
11:14
of this more perfect pattern in seven charge dimensions.
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七度載荷空間圖案的非對稱子集
11:18
This particular choice corresponds to a grand unified theory
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這種粒子選擇方法由帕蒂和薩拉姆在1973年提出
11:21
introduced by Pati and Salam in 1973.
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它是大統一理論的一種探索
11:24
When we look at this new unified pattern,
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在我們看到這個新的合成圖案時
11:27
we can see a couple of gaps where particles seem to be missing.
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發現有些空間應該有粒子 卻空出來了
11:31
This is the way theories of unification work.
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這是統一理論的研究方式
11:34
A physicist looks for larger, more symmetric patterns
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物理學家將已有的結構作為子集
11:36
that include the established pattern as a subset.
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探索更大 更對稱的結構
11:40
The larger pattern allows us to predict the existence of particles
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這個更大的結構可以讓我們預測那些
實際存在 卻沒有被觀察到的粒子
11:43
that have never been seen.
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11:45
This unification model predicts the existence
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這個統一模型推測出了這兩種新子
11:47
of these two new force particles,
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對應的粒子 它們應該和弱力很相似
11:50
which should act a lot like the weak force, only weaker.
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但是效果更弱
11:54
Now, we can rotate this set of charges in seven dimensions
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現在可以在七度空間中旋轉這個載荷集
同時考慮一下關於粒子的奇怪現象:
11:57
and consider an odd fact about the matter particles:
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在六度載荷空間中
12:00
the second and third generations of matter
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物質的第二代和第三代 擁有和第一代物質
12:03
have exactly the same charges in six-dimensional charge space
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12:05
as the first generation.
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擁有和第一代物質相同的載荷
12:07
These particles are not uniquely identified by their six charges.
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這些粒子通過對應的六個載荷無法一一識別
12:11
They sit on top of one another in the standard charge space.
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在標準載荷空間上 他們會彼此疊加
12:15
However, if we work in eight-dimensional charge space,
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然而 在八度載荷空間中
12:19
then we can assign unique new charges to each particle.
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我們可以賦予每一個粒子唯一的新載荷
12:23
Then we can spin these in eight dimensions
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然後在八度空間中旋轉
12:26
and see what the whole pattern looks like.
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看看整體的圖案是什麼樣的
12:30
Here we can see the second and third generations of matter now,
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這裏 我們可以看到物質的第二代和第三代
通過一種叫“三重性”對稱和第一代相關聯
12:33
related to the first generation by a symmetry called "triality."
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12:37
This particular pattern of charges in eight dimensions
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在八度中的這個特殊的載荷圖案是
12:41
is actually part of the most beautiful geometric structure in mathematics.
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數學中最為漂亮的幾何結構之一
12:46
It's a pattern of the largest exceptional Lie group, E8.
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這是最大的例外型李群E8的圖案
12:50
This Lie group is a smooth, curved shape with 248 dimensions.
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李群是光滑曲線形的248維空間
12:54
Each point in this pattern corresponds to a symmetry
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圖案的每一點都能在這個極其複雜而又美麗的£
12:57
of this very complex and beautiful shape.
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圖案中找到對稱點
13:00
One small part of this E8 shape can be used to describe
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E8中的一小部分可以用來描述
13:02
the curved space-time of Einstein's general relativity,
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愛因斯坦廣義相對論中用來解釋重力的
13:05
explaining gravity.
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扭曲時空
13:07
Together with quantum mechanics,
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這個幾何形狀和量子力學
13:09
the geometry of this shape could describe everything
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宇宙怎麼用
13:11
about how the universe works at the tiniest scales.
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最小的尺度運作
13:14
The pattern of this shape living in eight-dimensional charge space
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描述萬物之理 而在八度載荷空間中的這個圖案
顯得異常美麗
13:18
is exquisitely beautiful,
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13:21
and it summarizes thousands of possible interactions
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它還囊括了上千種這些基本粒子之間
13:23
between these elementary particles,
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可能的相互作用 每一種作用
13:25
each of which is just a facet of this complicated shape.
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只是這個複雜形狀的一個平面
13:29
As we spin it, we can see many of the other intricate patterns
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轉動它時 可以看到包含其中的很多
13:32
contained in this one.
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錯綜複雜的圖案
13:35
And with a particular rotation,
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通過某種旋轉 我們可以在八度空間
13:37
we can look down through this pattern in eight dimensions along a symmetry axis
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沿一個對稱軸方向觀察這個圖案
13:41
and see all the particles at once.
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並且一次看盡所有粒子
13:43
It's a very beautiful object,
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這是個很美的結構 和其他統一理論一樣
13:45
and as with any unification,
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13:47
we can see some holes where new particles are required by this pattern.
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我們可以看到在這個圖案中有一些空格需要
新的粒子來填補
13:52
There are 20 gaps where new particles should be,
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在這有20個空格需要新粒子來填補
13:54
two of which have been filled by the Pati-Salam particles.
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其中兩個已有帕蒂和薩拉姆粒子填補
13:57
From their location in this pattern, we know that these new particles
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從圖案的位置我們知道這些新粒子和
14:00
should be scalar fields like the Higgs particle,
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希格斯粒子一樣存在於純量場中
14:03
but have color charge and interact with the strong force.
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但是它們擁有色荷 且和強力相互作用
14:06
Filling in these new particles completes this pattern,
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填入這些新粒子使圖案完整
讓我們得到完整的E8
14:09
giving us the full E8.
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14:10
This E8 pattern has very deep mathematical roots.
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這個E8圖案有著深厚的數學根基
14:13
It's considered by many to be the most beautiful structure in mathematics.
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在數學界中它被很多人認為是
最美麗的結構
14:17
It's a fantastic prospect that this object of great mathematical beauty
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有人預言 這個擁有無比數學美的結構有人預言 這個擁有無比數學美的結構
能夠以我們可以想像到的最小尺寸
14:21
could describe the truth of particle interactions
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描述粒子相互作用的真相
14:24
at the smallest scales imaginable.
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而這個數學描述自然的理論
14:28
And this idea that nature is described by mathematics is not at all new.
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並不是新的
14:32
In 1623, Galileo wrote this:
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1623年 伽利略說
14:35
"Nature's grand book, which stands continually open to our gaze,
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大自然這本一直展示在我們面前的書
14:39
is written in the language of mathematics.
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是用數學的語言寫的
14:41
Its characters are triangles, circles and other geometrical figures,
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它由三角形 圓形和其他幾何形狀組成
14:45
without which it is humanly impossible to understand a single word of it;
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沒有了這些東西 在人力所及的範圍裏我們
根本不能瞭解
14:49
without these, one is wandering around in a dark labyrinth."
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沒有了這些 我們會迷失在黑暗的迷宮中
14:53
I believe this to be true,
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我相信這是真的
14:55
and I've tried to follow Galileo's guidance
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我曾試過按照伽利略的指導只用三角形
14:57
in describing the mathematics of particle physics
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圓形和其他的幾何形狀去描述
15:00
using only triangles, circles and other geometrical figures.
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量子物理的數學性
15:03
Of course, when other physicists and I actually work on this stuff,
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當我和其他物理學家在研究這些東西時
數學就像一個黑暗的迷宮
15:07
the mathematics can resemble a dark labyrinth.
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15:11
But it's reassuring that at the heart of this mathematics
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但是我們確信 數學的核心是
15:14
is pure, beautiful geometry.
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純粹美麗的幾何學
15:17
Joined with quantum mechanics,
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與量子力學一起 形成的數學
15:19
this mathematics describes our universe as a growing E8 coral,
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把我們的宇宙描述為一個在成長的E8珊瑚
同時粒子在每個可能的位置相互作用
15:23
with particles interacting at every location in all possible ways
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15:26
according to a beautiful pattern.
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展現出美麗的圖案
15:29
And as more of the pattern comes into view using new machines
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借助大型強子對撞機之類的新型機器
15:32
like the Large Hadron Collider,
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圖案得到進一步豐富 我們可能看到
15:34
we may be able to see whether nature uses this E8 pattern or a different one.
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到底E8圖案還是另一種圖案反映了自然的本質
15:40
This process of discovery is a wonderful adventure to be involved in.
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這個探索過程是一個奇妙的探險
15:44
If the LHC finds particles that fit this E8 pattern,
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如果對撞機發現了符合E8圖案的粒子
15:47
that will be very, very cool.
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那就太酷了
15:50
If the LHC finds new particles, but they don't fit this pattern --
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如果對撞機發現了新粒子 但不符合這個圖案
15:53
well, that will be very interesting, but bad for this E8 theory.
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那會非常有趣 雖然對E8理論不利
15:57
And, of course, bad for me personally.
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而且 在一定程度上 對我不利
16:00
(Laughter)
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(笑聲)
16:02
Now, how bad would that be?
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那到底有多不利呢?
16:04
Well, pretty bad.
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恩 那是十分的不利啊
16:06
(Laughter)
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(笑聲)
16:09
But predicting how nature works is a very risky game.
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但推測大自然的運作總是很冒險的
16:13
This theory and others like it are long shots.
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這個理論和其他這類型的理論都是在下大注
16:17
One does a lot of hard work knowing that most of these ideas
328
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即使花很多精力取得很多成果
16:20
probably won't end up being true about nature.
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也不一定能得出自然的真理
16:22
That's what doing theoretical physics is like:
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理論物理就是這樣
16:24
there are a lot of wipeouts.
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失敗是很常見的
16:26
In this regard, new physics theories are a lot like start-up companies.
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這樣看來 新物理理論就像新開的公司一樣
16:31
As with any large investment,
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巨大投資後 對那些失敗的嘗試
16:33
it can be emotionally difficult to abandon a line of research
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情感上總會難以割捨
16:36
when it isn't working out.
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16:37
But in science, if something isn't working,
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但在科學界 如果沒有用
16:39
you have to toss it out and try something else.
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就要丟掉它 再試試別的
16:42
Now, the only way to maintain sanity
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而在這些不確定中
16:44
and achieve happiness in the midst of this uncertainty
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唯一能夠保持理智並獲得幸福的方法是
16:46
is to keep balance and perspective in life.
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在生活中保持平衡和明察事理
16:50
I've tried the best I can to live a balanced life.
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我已經盡可能保持生活的平衡了
16:53
(Laughter)
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(笑聲)
16:55
I try to balance my life equally between physics, love and surfing --
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我試著在物理 愛情和衝浪中尋找平衡
16:59
my own three charge directions.
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就是我三個載荷的方向
17:01
(Laughter)
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(笑聲)
17:03
This way, even if the physics I work on comes to nothing,
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這樣 就算我的物理研究沒有任何成果
我依然擁有美好的生活
17:06
I still know I've lived a good life.
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17:08
And I try to live in beautiful places.
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我試著在風景優美的地方居住
17:10
For most of the past ten years I've lived on the island of Maui,
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過去十年 我大部分時間都住在毛伊島
17:13
a very beautiful place.
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一個超級漂亮的地方
17:15
Now, it's one of the greatest mysteries in the universe to my parents
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現在 我父母最大的疑惑是
17:18
how I managed to survive all that time
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我是怎樣在沒有一個全職工作的情況下
17:20
without engaging in anything resembling full-time employment.
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活下來的
17:23
(Laughter)
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(笑聲)
17:27
I'm going to let you in on that secret.
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我要告訴你們這個秘密
17:30
This was a view from my home office on Maui.
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這是我在毛伊島上的家庭辦公室的照片
17:34
And this is another,
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這些也是
17:38
and another.
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17:39
And you may have noticed that these beautiful views are similar,
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你們可能注意到這些照片
似曾相似 但背景稍有不同
17:42
but in slightly different places.
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17:44
That's because this used to be my home and office on Maui.
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因為這曾經是我在毛伊島的家和辦公室
17:48
(Laughter)
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(笑聲)
17:50
I've chosen a very unusual life.
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我選擇了一種特別的生活
17:53
But not worrying about rent
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不擔心房租 讓我把時間花在
17:54
allowed me to spend my time doing what I love.
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喜歡做的事情上
17:57
Living a nomadic existence has been hard at times,
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流浪的生活方式有時會很艱難
17:59
but it's allowed me to live in beautiful places
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也正因此 我才能可生活在美麗的地方
維持我所喜歡的平衡的生活
18:02
and keep a balance in my life that I've been happy with.
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18:05
It allows me to spend a lot of my time hanging out with hyperintelligent coral.
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我可以花大量的時間在
超級聰明的珊瑚上
18:11
But I also greatly enjoy the company of hyperintelligent people.
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同時我也很樂意和超級聰明的人打交道
18:14
So I'm very happy to have been invited here to TED.
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所以我很高興能被邀請到這兒演講
18:17
Thank you very much.
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謝謝大家
18:18
(Applause)
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(掌聲)
18:25
Chris Anderson: Stay here one second.
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18:27
(Applause)
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18:30
I probably understood two percent of that,
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我想我只懂了百分之二的部分
18:32
but I still absolutely loved it.
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但是我絕對喜歡它 所以我想獻一下醜
18:36
So I'm going to sound dumb.
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18:38
Your theory of everything --
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你的萬物理論
18:40
Garrett Lisi: I'm used to coral.
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我喜歡稱之為珊瑚理論
18:42
CA: That's right.
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好吧 它讓人們興奮的原因是
18:43
The reason it's got a few people at least excited
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如果你是對的,那就把
18:45
is because, if you're right, it brings gravity and quantum theory together.
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重力和量子理論結合了起來
18:50
So are you saying that we should think of the universe, at its heart --
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所以你是不是說我們應該瞭解
在宇宙中那些最微小的事物
18:54
that the smallest things that there are,
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18:56
are somehow an E8 object of possibility?
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有可能就是E8模型
19:02
I mean, is there a scale to it, at the smallest scale, or ...?
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我是說 你心裏是不是有一個最小的尺寸
還是
19:06
GL: Well, right now the pattern I showed you
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嗯,剛剛給你們看得圖案規則
19:08
that corresponds to what we know about elementary particle physics --
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就是我們所知的基本粒子物理
19:13
that already corresponds to a very beautiful shape.
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而且它已經是一個很漂亮的圖案了
19:15
And that's the one that I said we knew for certain.
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那個就是我所說的我們很確信的地方
19:18
And that shape has remarkable similarities --
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而這個形狀和E8有著明顯的相似處
19:21
and the way it fits into this E8 pattern, which could be the rest of the picture.
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在剩下的圖片中幾乎和E8合為一體
19:26
And these patterns of points that I've shown for you
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我給你們看得這些點狀圖案
19:29
actually represent symmetries of this high-dimensional object
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實際上代表著更高維物體的對稱性
19:33
that would be warping and moving and dancing
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這些圖案在我們生活的時空中
19:36
over the space-time that we experience.
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蜷曲,移動和舞蹈
19:38
And that would be what explains all these elementary particles that we see.
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這就解釋了所有的
我們所看見的基本粒子
19:42
CA: But a string theorist, as I understand it,
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我們所看見的基本粒子
19:45
explains electrons in terms of much smaller strings vibrating --
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弦理論家會在更小的弦震動裏
解釋電子
19:48
I know, you don't like string theory -- vibrating inside it.
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我知道你不喜歡弦理論
但我們該怎樣理解在E8模型中的電子
19:52
How should we think of an electron in relation to E8?
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19:56
GL: Well, it would be one of the symmetries of this E8 shape.
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不 它將會是這個E8型狀對稱性的一部分
20:01
So what's happening is, as the shape is moving over space-time, it's twisting.
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所以實際上 當這個形狀在時空中游走
它會扭曲 而它扭曲的方向就是
20:06
And the direction it's twisting as it moves is what particle we see.
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我們所看到的粒子 所以就是
20:11
So it would be --
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E8形狀的大小
20:12
CA: The size of the E8 shape, how does that relate to the electron?
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是怎麼樣和電子相聯繫的呢
我自己有些想像不出來
20:15
I feel like I need that for my picture. Is it bigger? Is it smaller?
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它會大些還是小些
嗯 就我們所知電子是點粒子
20:18
GL: As far as we know, electrons are point particles,
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所以這個會讓我們看到最小的尺寸
20:21
so this would be going down to the smallest possible scales.
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20:24
So the way these things are explained in quantum field theory is,
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所以在量子場論中,這些東西的解釋方式是
所有的可能性都在同時展開發展
20:27
all possibilities are expanding and developing at once.
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20:30
And this is why I use the analogy to coral.
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這也是我為什麼拿珊瑚作類比
20:33
And --
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因為這樣,E8的進入方式是
20:35
in this way, the way that E8 comes in
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20:40
is it will be as a shape that's attached at each point in the space-time.
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一個可以連接時空中每一點的形狀
20:45
And, as I said, the way the shape twists --
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還有 想我所說的 形狀在經過這個曲線的表面時
20:49
the directional along which way the shape is twisting
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它的扭曲的方式
20:51
as it moves over this curved surface --
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和其的扭曲方向是
基本粒子它們自己
20:53
is what the elementary particles are, themselves.
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20:56
So through quantum field theory,
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在量子場理論中 粒子與粒子間
20:59
they manifest themselves as points and interact that way.
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和點與點間一樣,相互作用
21:02
I don't know if I'll be able to make this any clearer.
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我不知道我能不能解釋得更加清楚了
21:04
(Laughter)
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(笑聲)
21:07
CA: It doesn't really matter.
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沒關係
21:09
It's evoking a kind of sense of wonder,
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它已經激起了我們的興趣
21:11
and I certainly want to understand more of this.
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我確定我想瞭解的更多
21:16
But thank you so much for coming. That was absolutely fascinating.
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太感謝你的光臨了。你的演說太吸引人了
(掌聲)
21:19
(Applause)
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