Can Unknown Physics Explain the Singularity of a Black Hole?

kurious
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When a star of a few solar masses collapses and starts to form a black hole,
if the particles of which the star was made get closer and closer together
as the density increases, will there come a point at which no force mediating
particles have a short enough wavelength to get between the star's particles to cause a force .Will there come a point at which,the gravitational force no longer exists even though the curvature of space-time does because the stress-energy-momentum tensor will still have the value we expect it to?
 
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The quick answer: We don't know.

The longer answer: The theory of general relativity says that once inside the event horizon the forces and curvature will increase without bound as you approach the singularity - no known physics will stop the particles from being crushed together. However, we don't have any theory that covers the behavior of matter at these extreme pressures and densities, so it is quite possible that some as-yet-unknown physics comes into play here.
 
From $$0 = \delta(g^{\alpha\mu}g_{\mu\nu}) = g^{\alpha\mu} \delta g_{\mu\nu} + g_{\mu\nu} \delta g^{\alpha\mu}$$ we have $$g^{\alpha\mu} \delta g_{\mu\nu} = -g_{\mu\nu} \delta g^{\alpha\mu} \,\, . $$ Multiply both sides by ##g_{\alpha\beta}## to get $$\delta g_{\beta\nu} = -g_{\alpha\beta} g_{\mu\nu} \delta g^{\alpha\mu} \qquad(*)$$ (This is Dirac's eq. (26.9) in "GTR".) On the other hand, the variation ##\delta g^{\alpha\mu} = \bar{g}^{\alpha\mu} - g^{\alpha\mu}## should be a tensor...
OK, so this has bugged me for a while about the equivalence principle and the black hole information paradox. If black holes "evaporate" via Hawking radiation, then they cannot exist forever. So, from my external perspective, watching the person fall in, they slow down, freeze, and redshift to "nothing," but never cross the event horizon. Does the equivalence principle say my perspective is valid? If it does, is it possible that that person really never crossed the event horizon? The...

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