The Kauffmann paper is very good and very close to Mitra as well since both address the Oppenheimer-Snyder dust collapse notion of a black hole. Although Mitra does not reference Kauffman, Kauffman does reference Mitra...something weird going on there.
Thanks for sharing the link.
I had no idea that science was so close to a quantum gravity. All that is needed is a connection between the GR ECO and the quantum boson star, both with well established literatures, and the two universes will finally be one.
So when I derive the metric for a collapsing universe, that brings a differential of mass into the action equation...and seems to lead to some interesting results. Instead of just the normal differential in proper time with the Schwartzchild radius, rs,
dtau^2 = (1 - rs/r) dt^2 - 1/(1- rs/r) dr^2/c^2
a collaping universe has a term with matter decay as
dtau^2 = (1 - rs/r) dt^2 - 1/(1- rs/r) dr^2/c^2 [2 (rs - ro) / (mo c alpha)]^2 dmo^2
Of course, both Kauffmann and Mitra do something similar by assuming small dust particles that collapse on themselves due to gravity. But matter time is already quantum and the result is a quantum object with ro as the center of action and rest mass mo.
In a collapsing universe, there is still an event horizon at rs and light time is zero, but proper time survives as a pure differential of matter. Needless to say, these solutions are simple log spirals and describe an ECO hohlraum as a stable boson star in the shape of the horn torus.
This result has all kinds of fun consequences since there are no singularities, just an unusual state of light-like boson matter trapped by the hohlraum of the Schwarzchild event horizon.
So it appears that if there is a matter decay term, black holes and ECOs and boson stars all become the same quantum objects.
