:) Half a year ago, I lectured on General Relativity. So where is the SRFI for all this stuff?
I'll write a srfi for vielbeins when you convince me that our universe is NOT the result of mass inflation in some black hole...😃
Einstein-Cartan theory apparently makes inflation unnecessary. See [1]. The rough idea is that in order to formulate spinors in general relativity, one needs a spin connection whose torsion is algebraically linked to the field densities. Substituting this relation back into the Dirac equation, one gets an effective cubic term of spinors, modeling an effective repulsion of fermions at very (I mean: very very) high densities.
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Wow! I have always wanted to study systems with torsion more carefully, and then look at the relationship is to spinors (I finally understand spinors generically, e.g. in riemannian geometry, e.g. spin structures, but would like to see what happens to spin structures if you work with torsion. Torsion always seemed criminally neglected .. Jurgen Jost explains spinors very nicely in his book "Riemannian Geometry" but then completely ignores torsion.)
I was referring to "mass inflation" not "cosmic inflation". The foundational article is, I think this one: "Inner-horizon instability and mass inflation in black holes" Poisson, E. & Israel, W. (1989) PRL. Roughly speaking, a dribble of infalling matter into a rotating black hole gets accelerated (inside the black hole) into a stream, whose angular momentum then becomes too high to fall in any further. (the "inner horizon") Roughly, the centrifugal force keeps it from finishing its journey (at least for a while). The centrifugal force causes the infalling matter to briefly "bounce" back back to moving in an outward direction. As it is now bouncing outwards, it encounters other infalling matter (colliding with it). All this at relativistic speeds. In the center of mass frame, there's a huge amount of energy from these counter-moving, colliding streams. That energy serves to accelerate the streams further, which increases the energy, which increases acceleration, causing the whole thing to exponentially diverge to plank energies in milliseconds. Ignoring plank, it would get up to energies of 10^180 or so before other effects take over and the collapse completes. The Kerr solution was only recently found in the last few years(?) The original papers only worked with non-rotating bh's, in which case the electric charge does the trick: i.e. infalling positive charges would be repulsed and bounce away from a central positive-charged singularity, then encounter other infalling matter (i.e. moving in the opposite direction) resulting in run-away acceleration.
There's hundreds of citations, but this is the one that plucks the sci-fi hollywood-movie heartstrings (and like all sci-fi, it has no actual formulas in it):
https://arxiv.org/abs/1305.4524 The Black Hole Particle Accelerator as a Machine to make Baby Universes A. J. S. Hamilton
--linas