|
I tried a thought experiment and ended up thoroughly confused. I imagined being a ridiculously wealthy, though impatient traveler who decided to dig a shortcut to china through the center of the earth. Upon completing the feat, I impetuously dove into the hole. As I plunged at breathtaking speed toward the earth's core, the expression F=2GM/r^2 popped into my mind. Clearly, I was doomed to become a black hole when 'r' assumed the value of zero upon reaching the core. Fortunately, the laws of physics ignored my feeble logic. As I approached the core, my rate of acceleration began to lessen. Upon reaching the core, though traveling at a brisk pace, I ceased to accelerate and began to deaccelerate as I approached China. I had enough momentum to almost reach the surface before gravity regained control. Now, after a multitude of rinse and repeat cycles, I find myself in a state of rest at the earth's core. In fact, I have the distinct sensation I am being pulled apart in every direction by a force equal to 2/g. I wonder how that would feel at the core of a black hole?... anybody happen to have a 3950 mile long piece of nylon rope handy? |