Dear All Gravitinos,(adsbygoogle = window.adsbygoogle || []).push({});

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?

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# I Black holes, pure classic micro-states and area laws

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