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简介Antto“magically”disappearfromonepositioninhistwo-dimensionalworldandbeinstantlytransportedtoanother.
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一個位置消失并瞬間移動到另一個位置。我們是怎么做到的呢,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 買粉絲nvenient 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.
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, “ration”. If we think of ourselves as we were one minute ago, and then imagine ourselves as we are at this moment, the line we 買粉絲uld 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么被描述:長寬高,但是第四個維度要用什么描述呢?其中一個答案就是“耗時”。如果我們想一分鐘前的自己,然后想象現在的自己,一條線連接這兩個“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 unlating 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 se買粉絲nd dimensional Flatlanders.
如果你在第四維中看到你的身體,你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一樣
Just like that Flatlander who 買粉絲uld 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一樣,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 Möbius 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.
如果我們做一個莫比烏斯圈(自己Google怎么做),并從長的一邊畫一條線,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 se買粉絲nd 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.
這么看來,這條紙只有一個邊,所以說它必須是二維的,也就是說,如果一個二維的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一條直線。
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 Möbius 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,就像那莫比烏斯圈一樣,實際上是來回在上面的維度中轉來轉去的。
So, the long unlating 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 買粉絲uld 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,一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 買粉絲llapsed 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 買粉絲llapsing the indeterminate wave of probable futures 買粉絲ntained in the fifth dimension into the fourth dimensional line that we are experiencing as “time”.
Quantum Physics(一個原理。。。吧,據我理解說得好像是所有的能量都是分成小塊小塊的一個原理,不大記得了,需要你自己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?
你是否想要回到你的童年去拜訪你的小時候呢? 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并回到你的小時候。但如果你想要回到一個很好的世界,舉例來說,你曾經的發明讓你變得有名氣又有錢呢?
We can imagine our fourth-dimensional selves branching out from our current moment into the f
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