still don't know whether I should buy it. That sounded good for a minute, but another way to put it is you integrate proper time along the curve of brownian motion... which is an integral I doubt can be regarded as even existing. Anyhow, another issue with all these "solutions" is, your mass will become huge when you & buddy go that fast, exceeding by far the mass of the rest of the galaxy, causing collapse of stuff into a giant black hole. I think you will be able to outpace the collapse and meet buddy before you both die in the singularity, though, because larger mass holes give you more time to live. :) On 2/2/14, Adam P. Goucher <apgoucher@gmx.com> wrote:
You wrote:
Re Dyer, it seems to me you are arguing about infinity*zero. I don't think I should accept that...
I'm arguing that if v(t) is your speed as a function of t (where t is the time in the reference frame of the galaxy), then the integral from 0 to infinity of:
(1 - v^2/c^2)^1/2 dt
can be made to converge. This will work if you set v(t) = (1 - exp(-t))c, for example.
http://en.wikipedia.org/wiki/Proper_time
Sincerely,
Adam P. Goucher
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