On Wed, Nov 7, 2012 at 7:42 AM, Craig Weinberg <[email protected]>wrote:
> Can anyone explain why geometry/topology would exist in a comp universe? > If numbers exist then so does geometry, that is to say numbers can be made to change in ways that exactly corresponds with the way objects move and rotate in space. For example, make the Real numbers be the horizontal axis of a graph and the imaginary numbers be the vertical axis, now whenever you multiply a Real or Imaginary number by i you can intuitively think about it as rotating it by 90 degrees in a counterclockwise direction. Look at i, it sits one unit above the real horizontal axis so draw a line from the real numbers to i, so if you multiply i by i (i^2) it rotates to become -1, multiply it by i again(i^3) and it becomes -i, multiply it by i again (i^4) and it becomes 1, multiply it by i again (i^5) and you've rotated it a complete 360 degrees and you're right back where you started at i. It is this property of rotation that makes i so valuable in dealing with things that rotate in space, the best example may be electromagnetism where Maxwell used it to describe how electric and magnetic fields change in the X and Y direction (that is to say in the Real and Imaginary direction) as the wave propagates in the Z direction. John K Clark -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.
