第66期:明天有多远
日期:2020-05-18 11:42

(单词翻译:单击)

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What do we really mean by 'near' and 'far'?
“近”和“远”的真正含义是什么?
In a way, distance is just a measure of how hard it is to get between two points.
在某种程度上,距离只是衡量到达某点难易程度的一种方法3pcWX~q]p*WlK|x,
The harder to get from here to there, the more distant 'there' is. This makes thinking about distance in multiple dimensions easy.
到达某个地方越难,其距离就越远pUiu*KovTAK=。这使得我们在多维度时空中思考距离变得简单e,6qU@82Tx(wSys6wI
In two spatial dimensions, a point a mile north and a mile east is more distant than one that's just a mile east - it's harder to get to.
在二维空间中,向东走一英里,再向北走一英里,肯定比只向东走一英里走得远——所以前者比后者更难到达8!~-s5q3F[;l5=
What about one space and one time dimension? Piece of cake!
那在一维空间和一维时间中呢?很容易!
Getting to a point a mile east in 10 minutes is a lot harder than getting there in a day,
在10分钟内往东走到一英里远的地方,比在一天内走到那里难多了,
-so one mile east and 10 minutes in the future is way more distant than 1 mile east and a day in the future.
所以,距离现在一分钟和一英里的点比距离现在一天和一英里的点要远vQ0CR#)FfH-IN

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第66期:明天有多远

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And a point that's a mile east right now is impossible to get to - so it's super distant!
同一时刻距离一英里的点不可能到达——所以它非常遥远!
But hold on - that would mean that 10 minutes is farther away than 10 hours! Doesn't that seem backwards?
但等等——那将意味着10分钟比10小时更远!这不是搞反了吗?
It kind of is - but it's the way the universe works: in special relativity, more time equals less distance! So distance in time is negative!
确实是——但这就是宇宙运行的方式:在狭义相对论中,更多的时间等于更少的距离!所以时间维度上的距离是负的!
And if you travel east and into the future in such a way that the negative time and positive space distances cancel out, your total distance will be zero.
如果你以这种方式向东走向未来,时间的距离和空间的距离相抵消,你移动的总距离将会是零8.y(Zsg%TipJg
And you'll be traveling at the speed of light! So how far away is tomorrow? It's closer than you think.
你将以光速行走!所以明天还有多远?没你想的那么远Ob_1!2Cz^s-2)(JD

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