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Posted by Alexander on July 18, 2001 16:09:30 UTC

Math does it all without anything else.

Say, what kind of geometry is space around us? It is the geometry dictated by symmetry - this time symmetry between gravitation and acceleration. Therefore, in zero acceleration (or zero gravity) it is flat (most symmetric). In the presence of gravity it is exactly as in accelerated system of reference. Accelerated system of reference, in turn, related to non-accelerated as special relativity demands. Special relativity, in turn, originates from symmetry (invariance) of space-time interval under rotations in space-time (=motion with constant velocities). Special relativity plus the above symmetry between gravitation and acceleration is what we call general relativity: all laws of physics are the same in any free moving system (including free falling).

Again, pay attention to the following: the same space is flat or bent depending on the observer's state of motion (mathematically resulting to certain curvature as dictated by basic symmetries). In free fall any bent space becomes flat. Say, in the spaceship hovering above black hole space is bent, but if the spaceship turns its engines off for a second (and thus starts falling free on black hole) THE SAME space immediately becomes flat.

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