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You may know that it takes light a zippy eight minutes
你可能知道,它需要輕快的八分鐘。
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to reach us from the surface of the Sun,
從太陽表面到達我們這裡。
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so how long do you think it takes light
所以,你認為多久,它需要光
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to travel from the Sun's core to its surface?
從太陽的核心傳到太陽的表面?
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A few seconds or a minute at most?
最多幾秒鐘還是一分鐘?
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Well, oddly enough, the answer is many thousands of years.
嗯,奇怪的是,答案是很多萬年。
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Here's why.
這裡'的原因。
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Photons are produced by the nuclear reactions deep in the core of our Sun.
光子是由太陽核心深處的核反應產生的。
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As the photons flow out of the core, they interact with matter and lose energy,
當光子從核心中流出時,它們與物質相互作用,失去能量。
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becoming longer wavelength forms of light.
成為較長波長形式的光。
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They start out as gamma rays in the core,
它們在核心中以伽馬射線的形式開始。
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but end up as x-rays, ultraviolet or visible light as they near the surface.
但在接近地表時卻以X射線、紫外線或可見光的形式結束。
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However, that journey is neither simple nor direct.
然而,這一歷程既不簡單也不直接。
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Upon being born, each photon travels at a speed of 300,000 kilometers per second
出生後,每個光子以每秒30萬千米的速度飛行。
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until it collides with a proton and is diverted in another direction,
直到它與質子相撞,並被轉移到另一個方向。
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acting like a bullet ricocheting off of every charged particle it strikes.
就像子彈從每一個帶電粒子上跳彈一樣。
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The question of how far this photon gets from the center of the Sun
這個光子離太陽中心有多遠的問題。
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after each collision
每次碰撞後
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is known as the random walk problem.
被稱為隨機行走問題。
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The answer is given by this formula:
答案由這個公式給出。
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distance equals step size times the square root of the number of steps.
距離等於步長乘以步數的平方根。
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So if you were taking a random walk from your front door
所以,如果你從你的前門隨便走走。
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with a one meter stride each second,
以每秒一米的步幅。
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it would take you a million steps and eleven days
萬步穿楊,十天九空
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just to travel one kilometer.
僅僅是行駛一公里。
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So then how long does it take for a photon generated in the center of the sun
那麼在太陽中心產生的光子需要多長時間呢?
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to reach you?
去找你?
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We know the mass of the Sun
我們知道太陽的品質
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and can use that to calculate the number of protons within it.
並可以用它來計算其中的質子數。
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Let's assume for a second that all the Sun's protons are evenly spread out,
讓'我們先假設所有太陽'的質子都是均勻分佈的。
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making the average distance between them about 1.0 x 10^-10 meters.
使它們之間的平均距離約為1.0×10^-10米。
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To random walk the 690,000 kilometers from the core to the solar surface
從地心到太陽表面隨機行走69萬公里
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would then require 3.9 x 10^37 steps,
那麼就需要3.9×10^37步。
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giving a total travel time of 400 billion years.
使得總旅行時間達到4000億年。
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Hmm, that can't be right.
嗯,這不可能是對的。
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The Sun is only 4.6 billion years old, so what went wrong?
太陽只有46億年的歷史,到底出了什麼問題?
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Two things:
有兩件事
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The Sun isn't actually of uniform density
太陽其實並不是均勻密度的。
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and photons will miss quite a few protons between every collision.
和光子在每次碰撞之間都會錯過不少質子。
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In actuality, a photon's energy,
實際上,一個光子'的能量。
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which changes over the course of its journey,
在其旅程中發生變化。
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determines how likely it is to interact with a proton.
決定了它與質子相互作用的可能性。
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On the density question,
關於密度問題。
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our models show that the Sun has a hot core,
我們的模型顯示,太陽有一個熱核。
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where the fusion reactions occur.
發生聚變反應的地方。
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Surrounding that is the radiative zone,
圍繞著它的是輻射區。
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followed by the convective zone, which extends all the way to the surface.
其次是對流區,一直延伸到地表。
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The material in the core is much denser than lead,
核心的材料比鉛的密度大得多。
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while the hot plasma near the surface is a million times less dense
而地表附近的熱等離子體的密度要低一百萬倍。
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with a continuum of densities in between.
其間有連續的密度。
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And here's the photon-energy relationship.
而這裡'是光子-能量關係。
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For a photon that carries a small amount of energy,
對於一個攜帶少量能量的光子。
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a proton is effectively huge,
一個質子實際上是巨大的。
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and it's much more likely to cause the photon to ricochet.
而它更有可能導致光子跳彈。
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And for a high-energy photon, the opposite is true.
而對於高能光子來說,情況正好相反。
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Protons are effectively tiny.
質子有效微小。
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Photons start off at very high energies
光子以很高的能量開始
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compared to when they're finally radiated from the Sun's surface.
相比於他們'最終從太陽'表面輻射出來的時候。
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Now when we use a computer and a sophisticated solar interior model
現在當我們使用計算機和複雜的太陽內部模型時
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to calculate the random walk equation with these changing quantities,
來計算這些變化量的隨機行走方程。
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it spits out the following number: 170,000 years.
它吐出的數字是:17萬年。
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Future discoveries about the Sun may refine this number further,
未來關於太陽的發現可能會進一步完善這個數字。
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but for now, to the best of our understanding,
但就目前而言,據我們瞭解。
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the light that's hitting your eyes today
今天打在你眼睛上的光亮。
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spent 170,000 years pinballing its way towards the Sun's surface,
花了17萬年的時間,以彈球的方式向太陽'的表面前進。
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plus eight miniscule minutes in space.
加上太空中的八分鐘。
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In other words, that photon began its journey two ice ages ago,
換句話說,那個光子在兩個冰河世紀前就開始了它的旅程。
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around the same time when humans first started wearing clothes.
大約在人類第一次開始穿衣服的時候。