----- Original Message ----- 
From: "Michael Harney" <[EMAIL PROTECTED]>
To: "Killer Bs Discussion" <[EMAIL PROTECTED]>
Sent: Wednesday, December 17, 2003 3:40 PM
Subject: Re: Outlandish but exceedingly fun.


>
> 300 Billion Kilograms per cubic centimeter?  We aren't talking about a
black
> hole are we?  Is density that high even possible?  I mean, there has to
be a
> finite limit of how many protons and neutrons that you can pack into such
a
> small space.

Right, but there are no protons.  To quote the website I obtained the
density from


http://www.astro.umd.edu/~miller/nstar.html

its energetically favored to have protons and electrons combine and form
neutrons and neutrinos.

If 6.02*10^23 protons only wieghs1 kilogram (IIRC), and
> neutrons weigh roughly the same as protons, that would require about
> 1.8*10^38 protons or nuetrons packed into a single cubic centimeter.
> Assuming a spherical model for protons and neutrons and perfect packing
of
> protons and nuetrons (assuming no empty space at all, which would be
> impossible with a spherical model):
> 1.8*10^38*(3/4)*pi*r^3=1cm^3
> 4.24*10^38*r^3=cm^3
> r^3=2.36*10^-39cm^3
> r=1.33*10-13 cm
> That would mean the radius of a proton/neutron would have to be less than
> 1.33*10^-13 cm.  Is that right?

Its actually the neutron degeneracy that keeps things from getting denser.
Higher densities are thought possible in a quark/gluon soup.   Remember,
neutrons are really not solid spheres.  Quarks, electrons, and gluons are
point like (as far as we can tell now).


Dan M.



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