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Solve

Name: Anonymous 2008-03-19 0:10

1/x = -x.  solve for x.

Name: RedCream 2008-03-23 14:54

>>34
I discovered that i represented a negative dimensioning.  Construct a Cartesian plane, but use i for the axes.  You'll notice soon that AREAS on that plane are real numbers (i.e. the area between 0 and y +1i and x +1i is -1).

Since on the i plane (constructed of dimensionality 1 numbers), real numbers are areas (dimensionality 2), then our real numbers just sitting alone (dimensionality 0) may sit in a dimensionality number just 1 above what the i numbers do.  Hence, a dimensionality of 0-1, hence -1, hence a "negative dimension".

Thinking about this some more, I concluded that a good way to visualize this is with a black hole or other puncture through our universal fabric.  Negative dimensionality seems to represent a universe beneath or beyond ours ... and in that universe, you can use i in the same algebraic fashion as our 0-dimension numbers are.

However, I find myself on unstable ground with all this amateur crap, and when I posted about ii, I was unable to come up with a visualization.  Hence, I feel I can't signify it.

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