Like many of these forum dwellers, I've been reading the Elegant Universe and I've hit a fit of confusion. So I've got a couple of questions.(adsbygoogle = window.adsbygoogle || []).push({});

In the book, it is explained that accelerated motion results in the warping of space and time (I'm thinking specifically of his example of the rigidly rotating disc). It is also later explained that gravity --while causing accelerated motion-- IS the warping of space and time. So it is this warping of space that causes the body of matter to accelerate toward its counterpart. That's where I get lost. If acceleration from gravity is caused by the warping of space itself, and acceleration itself causes space to warp, then why isn't it self-sustaining? Why doesn't acceleration cause its own warping of space, and this warping of space cause more acceleration, etc? I'm sure you can see the loop that I'm in ;)

Another question:

As explained to me, if we were in our own little compartment, oblivious to all outside happenings, we would not in any way be able to tell if our compartment was moving or static, OK, good. Similarly, if were in our compartment, we would not be able differentiate acceleration from gravity (eg. the compartment simply sitting on the ground) from a 9.8 m/s^2 rocket pack acceleration in space. So, my question is this: Why does a gravitational field (say, Earth's) only cause a minuscule time dilation? If we were on a rocket for 50 years accelerating at 9.8 m/s^2, we'd (ignoring the speed limit) be going 15 386 000 000 m/s. That kind of acceleration would make anything outside of a significant gravitational field infinitely (or just vastly) "older" than that within.

As my logic here is fairly simple, I'd imagine you guys have a quick and easy answer to give. ^^

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# The Curvature of Space and Acceleration Confusion

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