8.9.09

The mathematical formalism.

So during electrical engineering class today, we covered voltage and current dividers... for the 100th time. I fell asleep then went outside and sat on a bench. I decided the best place to start when playing god is to make some rules for the game. How do you read a set of rules for the universe? With math silly. Being a visual person, I decided I would set up my dimensions.

Space... really a necessity to have if we're going to attempt to visualize or comprehend an already completely contrived imaginary universe.

So, how do we define space? Are we going to go with some ol'standbys? Euclidian geometry? Hyperbolic geometry? Elliptical geometry? Einsteinian space-time?

And how many dimensions of space? 1, 2, 3, 4???
1: One axis. Infinitely thin wire. Great for modelling, but falls short on the square-footage in my neighborhood.

2: Two axes. Infinitely thin plane. Bounded area (or unbounded). Seems nice enough. Is it just me or does this shirt make me look shorter in here?

3: X,Y,Z. Too easy and too familiar. I don't want a universe that is easy enough to drive around in my Geo Metro!

4: Four axes. One minute I'm passing you on the highway in my Geo Metro (as if.) the next I've disappeared from your review mirror somewhere down Highway 4. Do you think the review mirror message "Objects are closer than they appear." would be underestimated at this point?

I like 4 dimensions of space. That sounds fun.

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