Saturday, April 17, 2004

Not surprisingly my 1 kg holographic-principle-breaking neutron black hole doesn't work - for a cold dense Fermi gas, the Fermi energy is hbar^2/mass*(6pi^2/v)^2/3, where v is the reciprocal of the number density v=V/N where V is the volume and N the number of particles. For a kilograms worth of neutrons squeezed down almost to its schwarzchild radius (10^-27 meter), the Fermi energy for the quarks becomes an absurd 700 trillion kilograms. Thus the combined weight of the now ultra-relativistic quarks would be about that of the Milky Way.

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