Black holes, pure classic micro-states and area laws

  • #1
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Main Question or Discussion Point

Dear All Gravitinos,

It seems that the current string theory and loop gravity's explanation for the micro-states of black
holes are all quantum mechanical and have no classic correspondence. I, in this day's arxiv, post a
pure classic interpretation for this question, titled "Black holes, regular made by general relativity".
In my paper I did/got the following thing/results,

(i) I studied the collapsing of a star consisting of no-pressure dust fluid. I used a new time coordinate
which is related with that of Schwarzschild one through relations d\tau=h dt , h=1-2m/r. In the ``t''-coordinate,
a test particle cannot fall across the horizon of a black hole in finite time, but in ``\tau''-coordinate, it can.
(ii) I then find an ansatz for the internal geometry of the collapsing star through only its
mass function m(\tau,r). The physical meaning of m(\tau,r) is the mass felt by observers on the equal-r surface and the \tau-epoch.
(iii) I found that m(\tau,r) satisfy two second order partial differential equations simultaneously, one of
them can be considered constraints while the other, dynamics.
(iv) I found that due to this enhanced constraints following from Einstein equation, the collapsing stars
initial status are featured only by the initial mass distribution m(0,r) but not \dot{m}(0,r), the latter is the
initial evolving speed
(v) I numerically solved the constraint and dynamic equations controlling the mass function m(\tau,r).
I found that the horizon could be-formed in finite \tau-time, but the central-singularity cannot
(vi) I thus claim that the central singularity of Schwarzschild-black holes can be resolved
by looking them as the future limit of collapsing stars.
(vii) Further, I claim that the micro-states of a black hole could be identified as its internal
mass-distribution way. Through simple calculations, I found that the black hole entropy, especially
the area law could be derived correctly.
(viii) Thus I established a pure classic interpretation for the micro-states of black holes. I speculated
the resolution of information puzzles and firewall paradoxes related with the the black hole
evaporation process in the paper

The above lists are the main results of my work. Its key idea is, the black hole's
all features are determined by its mass distribution way when its outmost horizon forms, this mass
distribution way could be counted directly, with results, of course, leading to area laws for the
entropy. I post this thread here to ask you, professionals in this forum, how about this pure classic
explanation sound like for the micro-states of black holes. Is it possible I am on the right track
towards the final resolution of the question?
 

Answers and Replies

  • #2
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Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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