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Old 05-20-2009   #1 (permalink)
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Time as a First and Fundamental Dimension...

There's been a few threads discussing the nature of Time and Space, and having thought about the matter, something occurred to me:

We all know the old analogies of explaining n-space, where you start off with a single dimension in which only a line can exist, and then one dimension up, in which 2D objects like squares and triangles can exist, and then up one dimension to the 3D universe around us, which we can perceive as objects with height, width and depth. And then we normally add in Time as the fourth dimension, so that our calculations work out, ala Minkowski.

But then it struck me that even in a one-dimensional universe, time would be required for two lines to interact. However you want to experience an n-dimensional world, time is required. Information about anything and everything cannot breach the speed of light, in other words, it takes time. So a one-dimensional universe cannot be perceived by a one-dimensional observer in the absence of time.

So, following from that, it seems that if we consider Minkowski's space-time, a "four-dimensional universe", with the regular x,y and z axes, with time combined, then it should make sense to consider time as the very first dimension, and not the fourth. The common view on the subject is that time is added as the fourth dimension, kinda like an afterthough.

But if Time is indeed the first dimension, being fundamental, it seems as if Time has to exist before any of the other dimensions can unfold. And that the other dimensions (or their existence) is impossible in the absence of Time...

I suppose a lot of interesting conclusions can be drawn from this. For instance, if Time is indeed fundamental, it would imply that Time alone can merrily exist in the absence of the 2nd, 3rd and 4th dimensions - but that none of those dimensions are possible in the absence of time...

Thoughts?


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