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 Originally Posted by MadMojoMonkey
Don't be so positive about that spaceship. Space contraction and time dilation could give him a serious advantage.
As you move closer and closer to the speed of light, distances in your direction of travel are contracted. The universe becomes pancaked in your direction of travel. Also, clocks outside your ship tick more slowly. So the rate of the universe's expansion would be slowed as well.
Now to create a ship that can hold a constant acceleration indefinitely and see if it can accelerate enough to overcome the universe's accelerating expansion.
it's not reasonable to think that something with infinite speed and 3d travel facilities can't reach every point in space at any given time?
How can that be confusing? It's just a balloon that is inflating. Still finite at any finite future time.
(We must assume this balloon is made of some material with infinite stretchiness and infinitesimal thickness.)
so for something to be infinite, it has to be infinite at any one point in time?
There are always more numbers between 0 and 1 than can ever be listed, therefore the distance between 0 and 1 is infinite, right?
it's intuitive. what i think i dont understand is this: there are an infinite many numbers between 0 and 1. this suggests to me that something that travels to each of those numbers can never reach them all. from his perspective, he is traveling infinitely and reaching new places. if so, why can't we say that the distance he is traveling is infinite?
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