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  • I'd like to clear up a misconception: there is no fourth dimension. As a matter of fact,

    我要澄清一個迷思:第四象限不存在!事實上,

  • there is no third dimension, either. Now, by that I don't mean that there aren't three

    也沒有所謂第三象限;但我並不是指三維象限不存在

  • dimensionsthere are, but just we can't tell these dimensions apart: there's no special

    它們的確存在,但我們無法將象限區分開來:沒有特定的

  • direction you can call "the 1st dimension," [north? east? up?] so it doesn't make sense

    方向可以叫「第一象限」(北方?東方?上方?) 所以那種說法並不合理

  • to say "this is the 2nd one," or "what's the fourth one?"

    不能去說「這是第二象限」或「什麼是第四象限?」

  • It's like if you have a jug with three cups of water in it... it's easy to tell that there

    就像是你在壺中倒了三杯水...你可以說壺中

  • ARE three cups of water, but which is the first cup? the second? or the third? Those

    「存在」三杯水,但哪個是第一杯?哪裡又是第二杯、第三杯?

  • questions don't even make sense!

    這些都是不合理的問句!

  • That said, there may be different KINDS of dimensions that you CAN tell apart - like

    也就是說,可能存在不同「類型」的象限是你「可以」分辨的

  • if you poured three cups of water and one cup of oil into our dimensions jug. Then you

    如果你在壺中倒入三杯水和一杯油,那你

  • could say "I have three dimensions that behave in the same way, and one that behaves a different

    就可以說「我有三個象限用同樣的方式運作,但有一個象限不同」

  • way." And that's what we mean when we say that we live in three spatial dimensions and

    而這就是我們指的:我們住在三維空間以及

  • one time dimension.

    一維時間中

  • And there's nothing crazy about adding another cup of water so that you'd have four watery

    這樣想並不瘋狂:可以加入另一杯水,讓壺中變成四杯水

  • cups and one oily cup; likewise we can contemplate what the universe would be like if there were

    和一杯油;就像我們同樣可以思考宇宙的可能樣貌,假設它

  • FOUR spatial dimensions and one time dimensionor in the case of string theory, nine spatial

    有「四維」空間象限;而在弦理論中,有九個空間象限

  • dimensions and one time dimension.

    以及一個時間象限

  • And while we're at it, it's not even too hard to conceive that there might be two dimensions

    而當我們身在其中時,要認知可能有二維時間象限存在並不困難

  • of timebut I don't have even have enough of one time dimension to explain that now.

    但我甚至沒有足夠的「一維」時間去解釋它

  • So if you'd like to try your brain at visualizing a world with four spatial dimensions, check

    所以如果你嘗試在腦中描繪出一個四維空間象限,可以

  • out the book Flatland or try solving a 4D rubiks cube.

    看看《平面國》這本書或是試試解決一個4D魔術方塊

I'd like to clear up a misconception: there is no fourth dimension. As a matter of fact,

我要澄清一個迷思:第四象限不存在!事實上,

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