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Thanks for that andrew but my main problem was simply trying to calculate at which point an object accelerating towards the speed of light will become so massive and small that, according to an observer on earth, the spaceship will become a black hole. The method will be absurdly simple when it...

Sorry but yeah you are wrong; see we are dealing with 0.999... where the 9's repeat to infinity. Thus the method we got taught in 2 unit math prelim for turning repeating decimals appears to fail. Let 0.999... equal x therefore 10x= 9.999... by subtracting x from 10x we are in...

Thanks Veloc1ty that helped clear up a few things.

I believe there is a misunderstanding here. You seem to believe that an event horizon occurs when the object reaches c and its mass becomes infinite and its length zero. This is not true. As I understand it, an event horizon is the point above the surface of an object where the escape velocity...

Sorry I wasn't very clear, this isn't anything to do with the syllabus but i still find it an interesting problem. It's actually a smaller part of a paper I'm writing to convince my physics teacher that it is possible to leave the Earth's observable universe. The point is I would like someone...

I did the Space topic last term and was just wondering what would happen as an object approached the speed of light (c). Now according to the Lorentz transformations the mass will increase and the length decrease as the velocity of the object approached c. Also if the mass increased and the...