Tuesday, 28 May 2013

Is our universe included inside a black hole?

There's a lot to pick apart in everything you try to propose, as it includes a lot of far fetched (or at least rather non-standard) claims. I am frankly not up to attempting to address every one of them, if for no other reason than that it makes the question as a whole rather too broad for my taste (and perhaps more in the territory of Physics.SE, which has quite a lot of answered questions concerning black holes).



There is, however, the following simple and amusing observation: current estimates of the mass-energy of the observable universe tell us that it is too dense to be a black hole. That might sound a little weird if you're not familiar with black holes. In fact, the density of a (non-rotating, Schwarzchild) blackhole is inversely proportional to the square of its mass, and the radius is directly proportional to the mass. More explicitly:
$$r=frac{2 G M}{c^2},$$
$$rho(M) = frac{3 c^6}{32 pi G^3}cdot frac{1}{M^2},$$
where $r$ is the radius, $rho$ is the density, $M$ is the mass, $c$ is the speed of light, and $G$ is the gravity constant.



The order of magnitude estimate for $M$ is $10^{54}$ (and $Mgeq 10^{54}$ in particular), which makes the universe ~3 times too small at least.



A key fact here is that the universe is not static with respect to itself. See this Physics.SE Q&A in particular. I'll quote the end of Lubos Motl's answer, in particular:



Our Universe, dominated by the dark energy, is already rather close to an empty de Sitter space which is, from many viewpoints, analogous to a black hole except that the interior of the visible part of the de Sitter space is analogous to the exterior of a normal black hole, and the analogy of the interior of a black hole is everything that is behind the cosmic horizon - where we don't see. It is misleading to create the analogy with the static black holes directly because our Universe is not static in the normal cosmological coordinates.


In other words, there are lots of important and sometimes subtle issues with the whole "the universe is a black hole" concept.

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