Sunlight is way older than you think - Sten Odenwald

732,768 views ・ 2015-05-12

TED-Ed


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譯者: 育霆 熊 審譯者: Regina Chu
00:06
You may know that it takes light a zippy eight minutes
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你可能知道光只要短短八分鐘
00:10
to reach us from the surface of the Sun,
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就能從太陽表面抵達我們這裡
00:13
so how long do you think it takes light
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那你認為光從太陽的核心到表面
00:15
to travel from the Sun's core to its surface?
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需要多少時間呢?
00:18
A few seconds or a minute at most?
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幾秒鐘或是最多一分鐘?
00:21
Well, oddly enough, the answer is many thousands of years.
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嗯,很奇怪地 答案是好幾萬年
00:25
Here's why.
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以下解釋為什麼
00:27
Photons are produced by the nuclear reactions deep in the core of our Sun.
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光子在太陽很深的核中 透過核反應產生
00:32
As the photons flow out of the core, they interact with matter and lose energy,
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光子從核心噴出來後 與物質相互作用而失去能量
00:37
becoming longer wavelength forms of light.
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變成波長較長的光波
00:40
They start out as gamma rays in the core,
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它們在核心中 以伽瑪射線的形式出發
00:43
but end up as x-rays, ultraviolet or visible light as they near the surface.
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但最終在表面變成 X 射線、紫外線或可見光
00:49
However, that journey is neither simple nor direct.
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但是,光的旅程不簡單也不直接
00:54
Upon being born, each photon travels at a speed of 300,000 kilometers per second
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每個光子製造出來後 就會以每秒 30 萬公里的速度旅行
01:01
until it collides with a proton and is diverted in another direction,
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直到它碰撞到質子並轉向
01:06
acting like a bullet ricocheting off of every charged particle it strikes.
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像子彈一樣被每一個 它撞到的帶電粒子反彈
01:11
The question of how far this photon gets from the center of the Sun
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而光子從太陽中心 經過每個碰撞之後
01:15
after each collision
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行經的距離有多長的問題
01:17
is known as the random walk problem.
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被稱為隨機漫步問題
01:20
The answer is given by this formula:
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答案可由以下算式解出
01:22
distance equals step size times the square root of the number of steps.
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距離等於一步長 乘以步數的平方根
01:28
So if you were taking a random walk from your front door
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所以如果你從你家大門 開始隨機漫步
01:31
with a one meter stride each second,
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以每秒一步且步幅一公尺
01:33
it would take you a million steps and eleven days
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則你花費一百萬步和十一天的時間
01:37
just to travel one kilometer.
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只能走一公里遠
01:40
So then how long does it take for a photon generated in the center of the sun
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而光子從太陽中心誕生 直到抵達我們這裡
01:45
to reach you?
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需要多久呢?
01:47
We know the mass of the Sun
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我們知道太陽的質量
01:49
and can use that to calculate the number of protons within it.
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可以用這個計算有多少質子在裡面
01:53
Let's assume for a second that all the Sun's protons are evenly spread out,
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我們暫時假設太陽 所有的質子都均勻攤開
01:57
making the average distance between them about 1.0 x 10^-10 meters.
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使得它們之間的平均距離約為 10 的負 10 次方公尺
02:04
To random walk the 690,000 kilometers from the core to the solar surface
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從核心到太陽表面 隨機漫步 69 萬公里
02:11
would then require 3.9 x 10^37 steps,
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將需要 3.9 乘 10 的 37 次方步
02:17
giving a total travel time of 400 billion years.
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需要四千億年的總時間
02:22
Hmm, that can't be right.
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嗯,這樣不對
02:24
The Sun is only 4.6 billion years old, so what went wrong?
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太陽只有 46 億歲 那什麼出錯了?
02:28
Two things:
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有兩件事
02:30
The Sun isn't actually of uniform density
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實際上太陽的密度並不均勻
02:33
and photons will miss quite a few protons between every collision.
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光子每次碰撞會錯過一些質子
02:38
In actuality, a photon's energy,
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實際上,一個光子的能量
02:41
which changes over the course of its journey,
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會隨著它旅行的過程而改變
02:43
determines how likely it is to interact with a proton.
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因而決定它如何與質子相互作用
02:47
On the density question,
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至於密度的問題
02:48
our models show that the Sun has a hot core,
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我們的模型顯示太陽有一個熱核
02:51
where the fusion reactions occur.
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是核融合反應發生的地方
02:54
Surrounding that is the radiative zone,
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它的周圍是輻射區
02:56
followed by the convective zone, which extends all the way to the surface.
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其次是對流區 就這樣一直延伸到表面
03:01
The material in the core is much denser than lead,
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核心的密度比鉛還要大得多
03:04
while the hot plasma near the surface is a million times less dense
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而靠近表面的熱電漿密度 則小了一百萬倍
兩者之間則是連續密度
03:09
with a continuum of densities in between.
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03:12
And here's the photon-energy relationship.
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這裡是光子與能量的關係
03:15
For a photon that carries a small amount of energy,
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相對於一個攜帶少量能量的光子
03:18
a proton is effectively huge,
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質子其實非常大
03:21
and it's much more likely to cause the photon to ricochet.
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它更容易使光子被彈飛
03:24
And for a high-energy photon, the opposite is true.
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而對於高能光子,情況正好相反
03:28
Protons are effectively tiny.
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質子相對來說非常微小
03:30
Photons start off at very high energies
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與光子在太陽表面 被輻射出去時的能量相較
03:33
compared to when they're finally radiated from the Sun's surface.
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光子出發時的能量非常高
03:37
Now when we use a computer and a sophisticated solar interior model
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現在我們使用電腦 和一個複雜的太陽內部模型
03:42
to calculate the random walk equation with these changing quantities,
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用變數計算隨機漫步方程
03:46
it spits out the following number: 170,000 years.
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它算出來的是以下數字:17 萬年
03:52
Future discoveries about the Sun may refine this number further,
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未來有關太陽的發現 可以進一步細化這個數字
03:56
but for now, to the best of our understanding,
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但是現在,盡我們的理解
03:59
the light that's hitting your eyes today
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今天進入我們眼睛的光
04:01
spent 170,000 years pinballing its way towards the Sun's surface,
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花了 17 萬年 以彈珠台遊戲的方式到太陽表面
04:07
plus eight miniscule minutes in space.
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加上在宇宙穿梭的微小 8 分鐘
04:10
In other words, that photon began its journey two ice ages ago,
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換句話說,光子在兩個 冰河時期前就開始了它的旅程
04:15
around the same time when humans first started wearing clothes.
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同一時間人類才剛開始穿衣服
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