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To: E who wrote (38065)5/11/1999 10:49:00 PM
From: nihil  Read Replies (1) | Respond to of 108807
 
If interested, read Kip Thorne's Black Holes and Time Warps Norton.

Everything, things 1 and 2 long, shrink so that addition of numbers is invariant under black-hole gravitational transformation, along with all other relationships. 1's and 2's -- the numbers -- are invariant to any physical transformation. If you were there, you wouldn't notice the shrinkage. (You'd be torn apart after dying of boredom, but let that pass.) Some astro-physicists believe that we are "at the edge" of a very massive black-hole in the center of the Galaxy. It's gravitational attraction is so minuscule that we didn't even notice it or know what a black-hole was until the last few years. And we are still not sure.



To: E who wrote (38065)5/11/1999 10:51:00 PM
From: Jacques Chitte  Read Replies (1) | Respond to of 108807
 
I don't think mathematics would change. Your point is well-taken - dimensions need to be added. The sum of angles of a triangle, f'rinstance, would no longer be 180 degrees. A measured square would be "dragged" out of true. But abstract dimensionless math would be unaffected. I think. I'm being volunteered to explore the effects of wrung space on the brain tissue...
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If we consider math as the archetypical humanity, think of it this way. Our math evolved from arithmetic and geometry which grew out of the surveyor's art 6000 years ago in some nice but flood-prone real estate. Number theory is invariant. But what we think of as math we visualize dimensionally. Length, angles - the metric of space is changed in comfort-straining ways. The ethereal abstraction of numbers remains inviolate, but somehow not so compelling when the starship is creaking because the beams don't quite match each other anymore! :-)