HansH said:
you talk about a different thing. we just discussed the difference between the "GR" approach and the "GR + extensions to GR" (see #49) we are discussing "GR + extensions to GR" here where it was assumed that there is a rsidual mass left ::"the Universe might be filled with remnants of tiny primordial black holes, which formed with mass M<10^9g."
https://arxiv.org/abs/2303.07661
HansH said:
if you throw 1 gram of mass in first this mass falls to the center following the gravitational field, then the hawking radiation should start again (the energy coming out) because the mass is larger than the equilibrium and that process then stops when the equilibrium is reached. Such process looks strange as there seems to be a kind of hysterese in or delayed reaction. So I was wondering if that is already sufficient proof to skip this option.
I was further thinking about this process related to GR+extensions:
https://arxiv.org/abs/2303.07661:
(please let me know if we should keep this discussion here or in a separate part of the forum related to theory development, and if so where?)
The extensions would then prevent to form a singularity as due to quantum effects the mass spreads out over a statistically defined volume (I would expect this statisticallty defined volume even can be seen at the event horizon in theory (but with extremely small chance of finding the mass there in case of a large black hole) and further outwards similar als an electron cloud around a nucleus of an atom.
This statistical distribution should than prevent the singularity. But as this volume is (effectively) still very small, there will be an event horizon. So from outside, the 1 gram of mass still feels the same gravitational field initially, but the field weakens (I mean increases less compared to GR only) as the mass falls further inwards due to the statistical distribution of the mass of the black hole. So further falling in towards the center, more and more mass will be located in shells outside the in falling mass untill in the center there is zero mass left as all the mass is outside similar as in the center of the earth. So no singularity and gravitational field is zero in the center (probably a bit noisy field because of the quantum fluctuations in the mass distribution).
so based on that I am not sure what are the consequences for Hawking radiation under this scenario. I would expect the hawking radiation is still there and the black hole evaporate faster and faster during evaporation as the basic machanism is not different, but as there is no singularity, all the mass will finally radiate away until the mass is so small that the event horizon disappears leaving a normal mass left only.
I also would expect that the infalling mass of a black hole is ripped apart and merges with the statistical mass distribution of the black hole mass. so the spagettification will go different as according to GR only and would be a statistically defined spagetty cloud of mass around the center of the black hole.