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We assume that there is an infinite density at the center of a black hole. But we also know that if it was really infinite, it would apply an infinite gravitational force to masses even if they were millions of light years away. So there must be a multivariable calculus equation for a black hole's force field. There must be some boundaries.

However, we also know that some black holes even bend lights, massless particals, so we are also pretty sure somewhere in the equation for some specific conditions there is an infinity. So in the equation, the boundaries must be set by another dimension, another variables we can not observe that are beyond 3 dimensions and space-time compression.

So this is where I got so far. If some variables from another dimension(s) involved, what are they? If not, how a black hole which is assumed to have an infinite density, does not effect us (Earth) infinitely?

Qmechanic
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Alper91
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1 Answers1

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The infinities of a singularity apply at the singularity, not everywhere; that's actually part of its nature as "a singularity" within a generally non-singular space. The gravitational acceleration of a massive body increases as $1/r$ (for a point mass, i.e. ignoring shell effects) and $1/r$ is only infinite as you approach $r=0$. Obviously, for very large $r$ the gravitational acceleration is quite small, which as an example is why it takes us here near the edge of the galaxy so long to make an orbit, even though the galaxy is very massive: the galaxy is also very wide (very large $r$) so two factors balance out to a finite (and rather small) acceleration.

Asher
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