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[Math] Time as a fourth dimension: does it work?

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chikushou

PostPosted: Thu Jun 21, 2007 10:32 am


So reading Flatland screwed up my brain.

More specifically, it screwed up my understanding of time as a fourth dimension.

What confuses me is this: The things we classify as the first three dimensions are basically the same quality with a different direction orientation, and by which all other directions can be formed. To be fixed in less than three dimensions, though, such as was the case of the people of flatland and of lineland, would require that they be limited with respect to the third dimension, and yet be constantly moving and aware of their movement, though unable to control it, with respect to time.

I suppose my question, then, though it may simply be a matter of my poor understanding of dimensions, is how time can be considered a fourth dimension, when the effect of it would be clear and every-changing regardless of placement in the first three dimensions.

I hope that somewhat made sense. And please disregard that I am disregarding the politcal aspects of Flatland.
PostPosted: Fri Jun 22, 2007 9:00 am


Hmm... could you restate the question? I think I know what you're asking but I'm not sure. sweatdrop

Starlock
Crew


chikushou

PostPosted: Tue Jun 26, 2007 10:40 am


Starlock
Hmm... could you restate the question? I think I know what you're asking but I'm not sure. sweatdrop
Yup. (I know it probably isn't clear. I was having a very hard time phrasing it.)

I guess what I was trying to ask is this:

Because we are always moving with respect to time, regardless of whether or notwe are moving with respect to any of the three physical dimensions, and are even moving forward in time if we exist, so to speak, in 0 dimensions, can we really consider time a 4th dimension?

I hope that makes sense. But, this question is seeming less and less relevant as I think about it. So, possible never-mind.
PostPosted: Fri Jun 29, 2007 8:14 am


Except aren't we always moving in the three dimensions as well? Everything as I understand it is in constant motion, though we humans may not register it with our eyes. If our cells in our bodies aren't busy dividing and dying, the electrons in the atoms that compose them are always flying around in their orbitals, right?

Starlock
Crew


[Barbarella]

Beginner Warrior

PostPosted: Sun Jul 01, 2007 7:41 pm


Perhaps rather than considering time the 4th dimension and always the 4th dimension, think of it as a dimension which must coexist with living bodies, and so for the Flatlanders is their un-thought-of 3rd dimension, and for 1-point creatures it would be the 2nd dimension.
PostPosted: Wed Oct 03, 2007 7:05 pm


I understand what you're getting at and I think I can make the concept work a little bit better for you.

Rather than thinking of 3 dimensional objects as moving through time try thinking of them as having a shape in the time direction. If you look at it this way nothing actually moves at all, it's shape in different planes of the time-axis just varies.
As time passes we would just be observing different slices of time.

Why we can't see multiple slices of time like we can height, width, and depth isn't explained by this but I don't think that matters.
(Though it could be that time is just completely opaque so trying to look through it is the same as trying to stare through a slab of concrete.)


That help at all?

Shokushu

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