Dear Christain,
Good to meet again here on the FQXi contest,
While reading your essay I had the following remarks and questions:
Quote "the foundation of the BH information problem is that BHs seem to do not obey Schrödinger equations, which would allow pure states to evolve only into pure states." Unquote. The Total Simultaneity Interpretation", as I introduce, states that BH' are emergent phenomena (illusions) or could you say "PURE STATES". Not pure quantum mechanical and time-dependent seems to be supporting my interpretation. Probable Emissions and absorptions are all time and space-related emergent phenomena of ONE PURE STATE. The jump between two levels caused by an emission is the jump between one Pure State and another. In my perceptions, ALL jumps are sparkles of reality that is originating from the source of ALL emergence: Total Simultaneity. Each jump is like a split-up where one part is continuing (in another emergence(reality)) and the other slipping back into the womb as just an available probability.
I am interested in " effective Regge-Wheeler potential of the time-independent Schröedinger-like equation which governs QNMs, see [4, 5, 10, 11] for details" and going to see the details. (you may understand now why)
(17) on page 5 "represents a pure final state instead of a mixed final state", A pure final state is a past moment (compressed in our memory as a point of a time-line) and a mixed final state is the state from the unknown future where the observer has still to choose?
The "collapse of the wave function" I already interpreted In paragraph 2 of my comment.
"an electron's excited state is entangled with all the Hawking quanta emitted at that time [3, 5].",.An electron's excited state is again just a time-less moment of the emergent reality and is actually entangled to the WHOLE of the emergent phenomenon of this timeless moment.
I learned again a lot from your essay and so valued it high.
My essay is more of a philosophical approach, but I hope that after reading this remarks you will find some time to read my participation and tell me what you think about it. It is a whole new approach to reality.
Best regards
Wilhelmus de Wilde