(03-04-2009, 05:23 PM)MisterRabbit Wrote: Well, forgive me, but I feel it may take many more examples and illustrations before I can really picture the reversal of space and time, a vector of time and a scalar of space. That's a duzy for my imagination. I really do want to, though.
Let's start by seeing what it means to "compress" space from 3 dimensions into one. Try this experiment, either in your mind, or in reality. Take a pencil and place its eraser on a sheet of paper at an angle to a fixed light source (the sun outside is great, since its light rays are parallel, but a good lamp inside will work fine too). Observe how the shadow cast by the pencil forms a 2-dimensional projection of the 3-D pencil (which is a 3D vector). Now consider the point of the pencil. The tip of the shadow represents the 2D projection on the paper of this 3-Space point. Consider that you could come up with an infinite number of different sized pencils that will cast the same shadow on the paper, but to do so you must point the tip of the larger pencils more toward the light, or shorter pencils more toward the paper, thus moving the point in 3 space.
If you now draw a line from the point of the shadow on the paper to the eraser, you have created a 2D vector on the paper. Now, lets arbitrarily draw a new line starting from the point where the eraser was, that is parallel with the right side of your sheet of paper. This new line will represent our single dimension (i.e., scalar) to hold the "compressed" point. You can now project the tip of the 2D vector (our 3D point projected onto 2D) onto that line by drawing a line from the tip of the vector, perpendicular to the new line that we just drew. The point at which the perpendicular line intersects the new line, is the 1D projection of the 2D point. Note that there are again an infinite number of 2D vectors that would project to the same point on this 1D (scalar) line. You have now "compressed" your 3 space point (or actually an infinite possible number of them) onto a single point on a scalar line.
This is precisely what is happening with matter in 3-Time. The points of matter that make up "you" (which are, by necessity close together in 3 space), are actually spread out in 3-Time, but come together when 3-Time is projected into the scalar of time that we call successive "now"s in s/t. Similarly, this is what happens with anti-matter in 3-Space, when it is projected as successive "here"s on scalar space in t/s.
Does this experiment help you visualize changing from 3-space to a scalar?
Quote:What do you think of the idea that t/s's tendency towards greater organization interacting with s/t may have something to do with not only the formation of life, but also attractors as well as archetypes?
This is an interesting abstraction, and one that I need to ponder more fully. Please allow me to table this idea for now.
Quote:Are you saying that your velocity, in the first example, would be zero because you wound up where you started from?
Yes. It's interesting to note that velocity has to be considered within a context of time and space. If your time context is your morning commute until lunch time with your space context being the confines of your city, then you had both speed and velocity. If the context is the same space over the period of waking until bedtime, your velocity was zero (because you had no net relative displacement). If your time context is waking until bedtime, but with the galaxy as your spacial context, then you had a significant velocity. As Einstein said, it's all relative.
Quote:IF so, I don't really understand why zig-zagging down a street would make a whole lot of difference in that respect
It doesn't make a whole lot, but 8mph velocity is certainly different than 25 mph speed. That was my only point.
Quote:Well, sorry I'm a bit slow with this kind of thing, and thanks for having patience. I do want to learn.
As do I. This process is really a great example of why Ra refers to it as teach/learning. Although I am attempting to teach (and the issues you are having are as much, if not more, a shortfall of my feeble attempts at teaching than your difficulty in learning), in doing so, I am learning the material better myself. So, I applaud your spirit and tenacity, and am perfectly happy to continue the discussion until things are resolved.
Love and Light (and pencil vectors),
3D Sunset