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Originally posted by CLPrime
reply to post by modeselektor
I didn't get to post this the last time this was mentioned, but here is the actual physics involved with the scenario of a micro black hole from the LHC at the center of the Earth...
First of all, the black holes created at the LHC are on the order of 10^-24 kg, which evaporate long before they even think of leaving their containment in the lab, let alone reaching the center of the Earth.
However, let's say the LHC were to magically create a black hole capable of reaching the center of the Earth, with a mass 1% that of the moon (about 10^20 kg). The Schwarzschild radius of such a black hole would be 1.46*10^-7 m.
The equation for the accretion of mass by this black hole (Bondi accretion - look it up) gives an accretion rate, A, of
A = (4*pi*R^2)pu
where p is the density of the Earth, u is the speed of sound (in this case, in the interior of the Earth), and R is the Schwarzschild radius.
This gives an accretion rate of about 1.7*10^-6 kg/s. To consume the mass of the Earth (about 6*10^24 kg), it would then take about 10^23 years.
That's 100 billion trillion years.
This fails to account for the change in radius of the black hole (which makes the accretion equation a differential), leading to a shorter time. However, that is balanced by something called the Eddington limit, which results from heat loss limiting the accretion rate (much like air resistance limits how fast someone can fall).
Regardless, for even this black hole (which is impossible for us to create, since it involved 1/100 the mass of the moon), the time it would take to consume the Earth is much longer than the current age of the universe.
Originally posted by stereologist
reply to post by FreedomCommander
Theories are not guesses as you suggest. Scientific theories are based on facts. There is good reason to believe that the core of the Earth is mainly iron.