I put together a basic blog regarding the potential of black holes having a Planck density core. Below is the introduction which talks about Schwarzschild black holes, the rest of the blog looks at Kerr rotating black holes and ring singularities with Planck density. If you find the below of interest, you're welcome to take a look at the full blog.
Black Hole - Planck unit?
Planck density* = 5.155x10^96 kg/m^3 = 5.155x10^90 kg/cm^3 = 5.155x10^87 tonnes/cm^3
(Based on Planck mass, 2.176x10^-8 kg and Planck length, 1.616x10^-35 m).
'This is a unit which is very large, about equivalent to 10^23 solar masses squeezed into the space of a single atomic nucleus. At one unit of Planck time (5.39121x10^-44 s) after the Big Bang, the mass density of the universe is thought to have been approximately one unit of Planck density.'
(
http://en.wikipedia.org/wiki/Planck_units)
*Planck units are sometimes (humorously) referred to as 'God's Units' as they are based on the properties of free space and not on the properties of any prototype, object or particle (that could be thought of as arbitrarily chosen). They are also referred to as natural units because the origin of their definition comes only from properties of nature and not from any human construct. Some believe that any communication with extra-terrestrial intelligence would require such a system of units. There are 5 basic Planck units, the above shows Planck length, mass and time; the other two are charge (1.8755x10^-18 C) and temperature (1.41679x10^32 K). They were established in the early 20th century by Max Planck, who is considered the founder of quantum theory.
The Schwarzschild radius of the sun is 2943 m. Based on an overall mass of 1.9891x10^30 kg, the density around about the point that the matter collapses into a black hole would be 1.863x10^13 kg/cm^3 (or 18 billion tonnes/cm^3). As the radius passes the Schwarzschild radius, light would begin to free fall towards the surface of the sphere, unable to escape from the gravity (the escape velocity for a sphere with this mass and radius would exceed 300,000 km/s, the speed of light), hitting the surface of the sphere, compacting the sphere further.
It's possible the photons energy would convert to mass as it collides with the collapsing star, contributing further to the black holes overall mass. Reactions between particles often result in photons which escape stars when gravity allows it (leaving the particles marginally lighter), here the process would be reversed. It seems to be an accepted fact that photons are massless but have energy due to their high momentum, if they are captured, become still or collide heavily with something, they would transfer their energy as mass. In general relativity, the source of black holes are considered geometric singularities, in quantum mechanics, they are speculated as having Planck density (5.155x10^90 kg/cm^3), the maximum energy density allowing in current physics.
Theoretical fundamental particles such as preons or strings are approx. 10^-33 m in size which are close to the Planck length, the smallest measurement currently used in physics (1.6x10^-35 m). If strings or preons are at the heart of all quarks and leptons, they would normally be at their closest (in ground state) ~10^-15 m (a Fermi), the distance between quarks within a nucleon. Possibly under great pressure the quarks would break down (approx. 10^20 kg/cm3) and under greater pressure, the preons/strings would break down also and the pure quanta of energy that reside at the very core of fundamental particles might compact to something in the region of Planck density.
If the core of a star about the mass of our sun collapsed beyond the Schwarzschild radius (2943 m) then it's possible it could collapse all the way to Planck density. For a mass the size of the sun (1.9891x10^30 kg) this would result in a sphere with a radius of 4.516x10^-23 m or ~45 yoctometre (a yoctometre or ym is 10^-24 metres). For the supermassive black hole at the centre of our galaxy which is predicted to have a mass of 3.6 million solar masses (7.16076x10^36 kg), the core radius at Planck density would be 6.9217x10^-21 m or ~7 zeptometre (a zeptometre or zm is 10^-21 mteres), the Schwarzschild radius (event horizon) would be 1.0624x10^10 m (or ~10.6 million km - our Sun has a radius of 0.6955 million km).
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Steve