第十維
0. A point (no dimension)
0.壹個點 （沒有維）
We start with a point. Like the “point” we know from geometry, it has no size, no dimension. It’s just an imaginary idea that indicates a position in a system.
我們從壹個點開始，就像我們幾何中學的壹樣。它沒有大小，沒有維度。它只是壹個想象出來的完美的點用來指點壹個系統中的壹個位置
1. The first dimension – a line
1.第壹維 - 壹條線
A second point, then, can be used to indicate a different position, but it, too, is of indeterminate size. To create the first dimension, all we need is a line joining any two points. A first dimensional object has length only, no width or depth.
第二個點，就可以用來指向另壹個不同的位置。但這個點像之前的壹樣，也沒有大小。要制造第壹個維度，我們需要壹條線將這兩個點連上。壹個壹維的物體只有長，沒有寬或高。
2. The Second Dimension – A Split
第二維 - 壹個分叉
If we now take our first dimensional line and draw a second line crossing the first, we’ve entered the second dimension. The object we’re representing now has a length and a width, but no depth. To help us with imagining the higher dimensions, we’re going to represent our second dimensional object as being created using a second line which branches off from the first.
如果我們現在在我們第壹維的線旁，畫第二跳線並與第壹條相交，我們就有了第二維。我們現在在表達的這個物體有長和寬，但並沒有高。為了讓之後我們想象更多維度的時候變得簡單些，我們將用壹條從第壹條線分叉出來的第二條線來表示我們的第二維物體
Now, let’s imagine a race of two-dimensional creatures called “Flatlanders”. What would it be like to be a Flatlander living in their two-dimensional world? A two-dimensional creature would have only length and width, as if they were the royalty on an impossibly flat playing card. Picture this: a Flatlander couldn’t possibly have a digestive tract, because the pipe from their mouth to their bottom would divide them into two pieces!
現在，讓我們來想想這樣壹種種族。他們都是兩維的小人，叫“Flatlanders”。對於他們來說，住在二維的世界裏將是怎麽樣的呢？壹個兩位的東西將只有長和寬，就像是在壹個完美的平的撲克牌裏的J，Q，跟K。想想這個：壹個“Flatlander”不可能有內臟，因為壹條從口到尾的氣管將會把他們分成兩塊的。
And a Flatlander trying to view our three-dimensional world would only be able to perceive shapes in two-dimensional cross-sections. A balloon passing through the Flatlander’s world, for instance, would start as a tiny dot, become a hollow circle which inexplicably grows to a certain size, then shrinks back to a dot before popping out of existence. And we three-dimensional human beings would seem very strange indeed to a Flatlander.
對於Flatlander來說，看我們的三維世界的時候只能看到奇怪的切片。如果有壹個氣球飛過這個兩維世界，它將會最先是壹個點，然後變成壹個圓並變大，最後在消失前收縮成壹個點。而對於Flatlander來說，我們三維的人類也就更加奇怪了。
3. The Third Dimension – A Fold
第三維
Imagining the third dimension is the easiest for us because every moment of our lives that is what we’re in. A three dimensional object has length, width, and height. But here’s another way to describe the third dimension: if we imagine an ant walking across a newspaper which is lying on a table, we can pretend that the ant is a Flatlander, walking along on a flat two-dimensional newspaper world.
對於我們來說，想象壹個三維世界是最簡單的了。因為我們時刻都生活在三維世界裏。壹個三維的物體有長寬高。但我們還有另壹種思考的方式。如果我們想象壹個螞蟻走過壹張桌子上的報紙，我們可以假設這個螞蟻是壹個Flatlander，走在壹個平的二維世界。
If that paper is now folded in the middle, we create a way for our Flatlander Ant to “magically” disappear from one position in his two-dimensional world and be instantly transported to another. We can imagine that we did this by taking a two-dimensional object and folding it through the dimension above, which is our third dimension.
如果現在我們把這報紙從中間折起來，我們就為這個Flatlander螞蟻很神奇的從這個二維世界的壹個位置消失並瞬間移動到另壹個位置。我們是怎麽做到的呢，我們把我們的兩維從中間折起來，也就成立了第三維。
Once again, it’ll be more convenient for us as we imagine the higher dimensions if we can think of the third dimension in this way: the third dimension is what you “fold through” to jump from one point to another in the dimension below.
再壹次的，對我們來說，為了使之後理解更多維度時比較容易，我們將這麽思考：這個第三維是妳“折起來”以從壹個點跳到另壹個下面的維度。
4. The Fourth Dimension – A Line
第四維
Okay. The first three dimensions can be described with these words: “length, width, and depth”. What word can we assign to the fourth dimension? One answer would be, “duration”. If we think of ourselves as we were one minute ago, and then imagine ourselves as we are at this moment, the line we could draw from the “one-minute-ago version” to the “right now” version would be a line in the fourth dimension.
前三個維度都可以這麽被描述：長寬高，但是第四個維度要用什麽描述呢？其中壹個答案就是“耗時”。如果我們想壹分鐘前的自己，然後想象現在的自己，壹條線連接這兩個“自己”的就是這第四維。
If you were to see your body in the fourth dimension, you would be like a long undulating snake, with your embryonic self at one end and your deceased self at the other. But because we live from moment to moment in the third dimension, we are like our second dimensional Flatlanders.
如果妳在第四維中看到妳的身體，妳將會覺得像是在蛻皮的蛇，之前的自己在別處。但是在三維世界中我們沒有第四維，所以我們就像是那Flatlanders壹樣
Just like that Flatlander who could only see two-dimensional cross-sections of objects from the dimension above, we as three-dimensional creatures can only see three-dimensional cross-sections of our fourth-dimensional self.
就想只能看到二維的物體的切片的Flatlander壹樣，三維的我們只能看到四維世界的三維切片而已
5. The Fifth Dimension – A Split
第五維
One of the most intriguing aspects of there being one dimension stacked on another is that down here in the dimensions below we can be unaware of our motion in the dimensions above. Here’s a simple example: if we make a M?bius strip (take a long strip of paper, add one twist to it and tape the ends together) and draw a line down the length of it, our line will eventually be on both sides of the paper before it meets back with itself.
如果我們做壹個莫比烏斯圈（自己Google怎麽做），並從長的壹邊畫壹條線，這條線在回到起點之前將會被畫在紙的兩側。
It appears, somewhat amazingly, that the strip has only one side, so it must be a representation of a two-dimensional object. And this means that a two-dimensional Flatlander traveling down the line we just drew would end up back where they started without ever feeling like they had left the second dimension. In reality, they would be looping and twisting in the third dimension, even though to them it felt like they were traveling in a straight line.
這麽看來，這條紙只有壹個邊，所以說它必須是二維的，也就是說，如果壹個二維的Flatlander沿著我們畫的這條線走的話，它將會回到它的起點而覺得他從未離開過二維世界。事實上，他會在三維世界中來回轉全的，即使對他們來說他好像是走了壹條直線。
The fourth dimension, time, feels like a straight line to us, moving from the past to the future. But that straight line in the fourth dimension is, like the M?bius strip, actually twisting and turning in the dimension above.
第四維，時間，對我們來說就像這條直線，從過去到現在的線。但這條四維中的線，就像那莫比烏斯圈壹樣，實際上是來回在上面的維度中轉來轉去的。
So, the long undulating snake that is us at any particular moment will feel like it is moving in a straight line in time, the fourth dimension, but there will actually be, in the fifth dimension, a multitude of paths that we could branch to at any given moment. Those branches will be influenced by our own choice, chance, and the actions of others.
所以，之前說的蛻皮的蛇的例子，也就是我們，感覺上是在第四維時間中走著直線，而實際上，第五維是存在的，壹個我們隨時都可以分叉。這些分叉是被我們自己的選擇，機會，別人的動作而左右的。
Quantum physics tells us that the subatomic particles that make up our world are collapsed from waves of probability simply by the act of observation. In the picture we are drawing for ourselves here, we can now start to see how each of us are collapsing the indeterminate wave of probable futures contained in the fifth dimension into the fourth dimensional line that we are experiencing as “time”.
Quantum Physics（壹個原理。。。吧，據我理解說得好像是所有的能量都是分成小塊小塊的壹個原理，不大記得了，需要妳自己Google）說，組成我們世界的小東西是從波中解散的，而這個原因，很有可能只是因為我們的觀察。在我們自己畫的圖中，我們可以看到我們是怎樣從第五維中的可能性的波中解散的。
6. The Sixth Dimension – A Fold
第六維
What if you wanted to go back into your own childhood and visit yourself? We can imagine folding the fourth dimension through the fifth, jumping back through time and space to get there. But what if you wanted to get to the world where, for example, you had created a great invention as a child that by now had made you famous and rich?
妳是否想要回到妳的童年去拜訪妳的小時候呢？ 我們可以想想把第四維透過第五維折起來，從時間跟空間中跳回去並回到妳的小時候。但如果妳想要回到壹個很好的世界，舉例來說，妳曾經的發明讓妳變得有名氣又有錢呢？
We can imagine our fourth-dimensional selves branching out from our current moment into the fifth dimension, but no matter where you go from here the “great child inventor” timeline is not one of the available options in your current version of time -- “you can’t get there from here” -- no matter how much choice, chance, and the actions of others become involved.
我們可以通過從現在的我們岔路到第五維來想象四維的自己，但是無論妳從現在的哪裏離開，那個“發明家孩子”的時間線並不存在於妳現在的時間選項中。“妳並不能從這到那”--不管包括了多少選擇，機會，以及別人的行動。
There are only two ways you could get to that world – one would be to travel back in time, somehow trigger the key events that caused you to come up with your invention, then travel forward in the fifth dimension to see one of the possible new worlds that might have resulted. But that would be taking the long way. The shortcut we could take would involve us folding the fifth dimension through the sixth dimension, which allows us to instantly jump from our current position to a different fifth dimensional line.
想要去那個世界只有兩種辦法 - 其壹是坐時光機回到小時候，想辦法制造壹些時間並讓妳真的做出了發明，然後再通過第五維看看可能會發生的結果們。但這樣有點浪費時間。結晶就是，我們可以把第五維折到第六維上，也就讓我們壹下子從我們現在的位置跳到第五維線上的另壹個點
7. The Seventh Dimension – A Line
第七維
In our description of the fourth dimension, we imagined taking the dimension below and conceiving of it as a single point. The fourth dimension is a line which can join the universe as it was one minute ago to the universe as it is right now.
在我們形容第四維時，我們想象過把我們下面的維度變成壹個點，那第四維就是壹條可以將壹分鐘前的宇宙和現在的宇宙連接起來的線
Or in the biggest picture possible, we could say that the fourth dimension is a line which joins the big bang to one of the possible endings of our universe.
或者，把這個最大化，我們可以說這第四維是壹條將宇宙大爆炸（是叫這個不？就是說宇宙是通過大爆炸而形成的那個說法）以及其中壹個可能發生的現在連接起來的線
Now, as we enter the seventh dimension, we are about to imagine a line which treats the entire sixth dimension as if it were a single point. To do that, we have to imagine all of the possible timelines which could have started from our big bang joined to all of the possible endings for our universe (a concept which we often refer to as infinity), and treat them all as a single point.
現在，在我們進入第七維的時候，我們將想象壹條將整個第六維看做壹個點的線。要做這個的話，我們需要想象所有的可能存在的將宇宙大爆炸到現在連接起來的時間線（也就是無窮大），然後將他們作為壹個點來看待。
So, for us, a point in the seventh dimension would be infinity – all possible timelines which could have or will have occurred from our big bang.
所以，對我們來說，壹個在第七維的點就將是無窮大，也就是所有可能的將宇宙大爆炸與現在連接起來的時間線
8. The Eighth Dimension – A Split
第八維
When we describe infinity as being a “point” in the seventh dimension, we are only imagining part of the picture. If we’re drawing a seventh dimensional line, we need to be able to imagine what a different “point” in the seventh dimension is going to be, because that’s what our line is going to be joined to. But how can there be anything more than infinity?
當我們在第七維裏將無窮大形容成壹個點的時候，我們只是在想象壹個大圖的壹部分。如果我們在畫壹條第七維的線，我們需要想象壹個第七維的不同的點將是什麽。因為我們將需要把我們的線連接到這個點上。但怎麽可能有比無窮大還多的呢？
The answer is, there can be other completely different infinities created through initial conditions which are different from our own big bang. Different initial conditions will create different universes where the basic physical laws such as gravity or the speed of light are not the same as ours, and the resulting branching timelines from that universe’s beginning to all of its possible endings will create an infinity which is completely separate from the one which is associated with our own universe.
答案就是，在我們的宇宙大爆炸以外，也有可能發生了別的情況並產生了別的無窮大。不同的初始狀況將會產生不同的宇宙，在這些宇宙中，基本的物理原理，比如說重力或光速，與我們的宇宙並不同。也就是說，對於這些別的“宇宙”來說，所有從那個宇宙的開始連接到所有可能會產生的結果的時間線，與剛剛提到的我們的宇宙的時間線是不壹樣的。
So the line we draw in the seventh dimension will join one of these infinities to another. And, as boggling as the magnitude of what we are exploring here might be, if we were to branch off from that seventh dimensional line to draw a line to yet another infinity, we would then be entering the eighth dimension.
所以，我們在第七維中畫的線將會連接兩個這些無窮大。而後，如果我們從這條線上分支出來，我們就將進入了第八維。
9. The Ninth Dimension – A Fold
第九維
As we’ve explored already, we can jump from one point in any dimension to another simply by folding it through the dimension above. If our ant on the newspaper were a two-dimensional Flatlander, then folding his two-dimensional world through the third dimension would allow him to magically disappear from one location and appear in a different one.
像我們已經知道的，通過折起任何壹個維度到另壹個上，我們可以從這個維度中的壹個點跳到另壹個。如果我們的報紙上的螞蟻也是個二維Flatlander，那將這個二維世界折成三維後將讓這個螞蟻神奇的從壹個位置消失去到另壹個位置去。
As we’re now imagining the ninth dimension, the same rules would apply – if we were to be able to instantaneously jump from one eighth dimensional line to another, it would be because we were able to fold through the ninth dimension.
而現在當我們想象這第九個維度，同樣的事情會發生的。如果我們能從壹個第八維瞬間跳到另壹個第八維，那將會因為我們其實能折起這第八維到第九維上。
10. The Tenth Dimension – A Point?
第十維
Before we discussed the first dimension, we could say that we first started out with dimension zero, which is the geometrical concept of the “point”. A point indicates a location in a system, and each point is of indeterminate size. The first dimension then, takes two of these “points” and joins them with a line.
在我們談論第壹個維度的時候，我們說我們是從第零維開始的。也就是幾何上的“點”。壹個能在壹個系統中表示位置的點。第壹個維度呢，需要兩個點並用線連接起來。
When we imagined the fourth dimension, it was as if we were treating the entirety of three-dimensional space in a particular state as a single point, and drawing a fourth-dimensional line to another point representing space as it is in a different state. We often refer to the line we have just drawn as “time”.
當我們想象第四維的時候，我們將整個第三維想象成了壹個點，然後畫壹條四維的線。這條線就是“時間”。
Then in the seventh dimension, we treated all of the possible timelines which could be generated from our big bang as if this were a single point, and imagined drawing a line to a point representing all of the possible timelines for a completely different universe.
再之後，在第七維的時候，我們將所有可能的將宇宙大爆炸和現在連接起來的時間線的和想象成了壹個點，並想象畫壹條線到壹個表示另壹個宇宙的所有可能的時間線的和的點
Now, as we enter the tenth dimension, we have to imagine all of the possible branches for all the possible timelines of all the possible universes and treat that as a single point in the tenth dimension.
現在，在我們進入第十維的時候，我們需要想象所有可能出現的所有其他的宇宙的所有其他的時間線的分叉為壹個點，
Whew! So far, so good. But this is where we hit a roadblock: if we’re going to imagine the tenth dimension as continuing the cycle, and being a line, then we’re going to have to imagine a different point that we can draw that line to.
哎~目前還挺好的，但是這就是我們遇到阻礙的時候：如果我們將這第十維想成這個循環的後續，然後做壹條線，那我們將需要想象壹個完全不同的可以用來畫線的點。
But there’s no place left to go! By the time we have imagined all possible timelines for all possible universes as being a single point in the tenth dimension, it appears that our journey is done.
但已經沒有這樣的地方了！當我們想象了所有的宇宙的所有的時間線成為壹個第十象限中的點的時候，我們的旅程看來已經成功了（結束了）
In String theory, physicists tell us that Superstrings vibrating in the tenth dimension are what create the subatomic particles which make up our universe, and all of the other possible universes as well.
在String原理中說（不太記得這個原理了，自行Google）物理學家說Superspring（不知道是啥。。。Google）在第十維中的震動會制造組成我們宇宙的亞原子（是叫這個不？不確定），以及所有其他可能存在的宇宙。
In other words, all possibilities are contained within the tenth dimension, which would appear to be the concept we have just built for ourselves as we imagined the ten dimensions, built one upon another.
換句話說，所有的可能性都存在於第十維之內，也就是我們剛剛通過想象壹個又壹個的維度而得到的最後結論。