/sci/ - Science & Math

Consider the partial sums of [eqn]\lim_{n\to\infty} \sum_{1}^{2n} \frac{1}{n} = 2[/eqn]

>1 trillion has twelve 0's after it
>a number with 1 trillion 0's after it is still nowhere close to infinity

sqrt(2) = 1.4142135624
... - R = c

c = 0.4142135624
... ÷ ([2+c] = 2.4142135624 ) = r

r = 0.1715728753

>>9751765
>1 - 0 = 1

>>9630818
Get them pregnant in college.

How is time dilation in relation to gravity supposed to work? Is it on a scale such that, at maximum gravity, this means there is no free space for movement, thus no time?

I got to thinking that things that fall into a black hole might never actually reach the initial body which formed the hole, or rather may never reach the "surface". As the object approaches, time dilation would retard it's reference frame, while the outside point of view would appear to increase in speed. Under this model, the rate of hawking radiation of the blackbody would increase relative to the infalling observer, so the size of the black hole would decrease the closer you get to it, so would its mass, and thus so would its gravity, so the longer you spend infalling, initially time would speed up but then eventually start slowing down again, and upon shrinking to an insignificant size may then allow an observer to leave it's gravitational grasp and return to normal space a googol years from now, essentially travelling "through" the black hole, riding it's event horizon pretty much up to the second the blackhole evaporated, in the relative time span of a few seconds.

This would also provide that information is not actually lost upon approaching a black hole. Just frozen in time and displaced by a bajillion years.

>>9593026