RE: Actual Infinities
October 28, 2015 at 6:34 am
(This post was last modified: October 28, 2015 at 6:35 am by I_am_not_mafia.)
(October 28, 2015 at 6:21 am)Quantum Wrote: Time dilation and length contraction are two aspects of the same thing - that the speed of light remains the same for all observers. We had this example before - if you travel to Andromeda at near the speed of light, seen from the outside, 2 million light years are travelled in 2 million years. From the inside, only a few light years are travelled in a few years time. Both reductions have to be present for the ratio of distance and time, which is near the speed of light, to be the same for both observers.
That conversation earlier made me think of this in relation to the concept of 'actual infinities' but I missed the bit about length contraction. Although now that I think about it, I do remember hearing about length contraction before but never really understood it.
Can we use this to argue that 'actual infinities' cannot actually exist because that requires it to be absolute and everything is relative within space-time?
I feel like such an idiot trying to speculate on all of this.