02-24-2009, 08:45 PM
(02-22-2009, 10:20 PM)MisterRabbit Wrote: Another thing that has crossed my mind, as I've been reading Beyond Space and Time, is that of how time/space interacts with space/time, as in the forms of life... Could attractors, if not all then some like maybe "strange attractors", be related to time/space's interaction with space/time motion?
This is a topic I wanted to work up to after the foundation of RST was laid (btw, RST is only my shorthand, feel free to spell out Theory if you prefer). I agree that the interactions between s/t and t/s are fascinating and worthy of a great deal of discussion. I was hoping to attract some others that are more knowledgeable than I before we went off the deep end, so to speak, but let's talk and see where things go.
First, to review for others, in "Beyond Space and Time", Mr. Larson makes the point that, in general, actions which occur in space/time that are contrary to entropy, are due to interactions between time/space and space/time. This specifically includes all life forms which contain DNA (or precursors to DNA) such that their DNA divides and replicates. He indicates that this division of DNA, the likes of which are not experienced elsewhere in nature (i.e., by non-living things), represent the intervention of some controlling aspect from time/space into space/time. Specifically, he points out that this splitting of the DNA, or their moving apart in space/time, represents their moving closer together in time/space.
He does not specifically address the issue of other natural phenomena that are not organic, although I do believe that the concept of strange attractors in chaos theory, may be another such example of time/space interplay with space/time. There's lots more to say on this, so please continue the discussion.
Quote:I can't quite imagine yet what he really means by multiple dimensions of time, or movement in time, or how movement closer together in time means movement further apart in space. I mean I know they are reciprocal aspects, but that's just an abstract equation, I want to be able to visualize it.
I must admit that I have been largely at a loss for a good way to visualize this relationship as well. Last night, after reading your request, I had an interesting dream about an umbrella. When I awoke, it occurred to me that this is a crude, but workable starting point for such a visual model. In space/time, you could think of the space aspects as the volume covered by an open umbrella. The time aspect in this case is scalar and is represented by the umbrella handle. So, you can define the 3 dimensional position of something anywhere within the volume covered by the umbrella as the space position, and furthermore associate each such point with a location on the handle, or the related time position.
Now, here's the catch. The farther away from the top of the umbrella your space point is, determines how far from the handle your associated time point is (i.e., they are inversely related). Bear in mind then, that at the moment of the Big Bang, time was at unity at the handle, and space was at unity at the point of the umbrella and both time and space were scalar. As time and space marched forward, space spread out like the opening of the umbrella, and time marched forward just like the mechanism that opens the umbrella. The farther time advances, the more spread out space gets. Similarly, if you close the umbrella, you move backward in time and compress space.
So far, so good, but this primarily our space/time world. Now consider, that when you close the umbrella, each 3 dimensional location in space is compressed and returns to unity. Once closed, both time and space are scalar, as in the equations s/t or t/s. Now that they are both scalar, think of opening the umbrella in time/space. This time, the points on the umbrella area represent three dimensional time points and are associated with scalar space points on the handle. I like to think of the umbrella as closing so far that it turns inside out to represent the transition from s/t to t/s. Say that space is red and time is blue. When you're working with space/time you have a red umbrella with a blue handle. In time/space, you have a blue umbrella with a red handle. But recall that they are both the same umbrella, the same time, and the same space.
Like I said, it's not a perfect analogy, but I think it is representative of both the inverse relationships and can give you some feel for how time may be three dimensional as well as space. It's important to note, that in this example there are only 6 dimensions represented, since the scalar time or space values are actually one dimensional representations of their three dimensional forms.
Is this analogy helpful?
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