Leonard Susskind and others are saying that Black holes are quantum mechanical object? On what fundamental ground then they have used GTR and other parametric equation to get Black holes dynamics?
Black holes are classical objects-they're solutions of Einstein's equations. Quantum matter in a black hole spacetime, however, has certain particular properties, that can be consistently studied in certain limits.
Dear Stam,
You are very experienced in this field.. Surely, I have no reason to doubt on you.. But see what Leonard is saying... Take a look here,, https://www.youtube.com/watch?v=OBPpRqxY8Uw
The quantum mechanics / field theory considered by Susskind and others does not concern the black holes themselves, but the quantum phenomena near the horizon of black holes, in the simplest case in the background of the Schwarzschild geometry implied by an uncharged, static and spherically symmetric black hole. Near this horizon, a so-called Rindler space can be defined in which the coordinates are those of the ordinary (i.e. flat) Minkoswki space-time. Quantization of fields in the Rindler space is similar to the quantisations leading to the familiar relativistic quantum fields (Klein-Gordon and the Dirac field for electrons in relativistic quantum electrodynamics).
A quantum theory of gravity that is unified with quantum mechanics / field theory requires a simultaneous quantization of gravity, similar to the quantisation of the radiation fields (the electromagnetic fields) in quantum electrodynamics - the latter unifies the quantum theory of electrons (more generally, fermions) with that of the radiation (photons).
For the interested, I warmly recommend the following excellent relevant book:
L Susskind, and J Lindsey, An Introduction to Black Holes, Information, and the String Theory Revolution: The Holographic Universe (World Scientific, New Jersey, 2005)
https://doi.org/10.1142/5689
That is why:
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“What you learned from your professors, from your books, from the greatest scientists… about Dark Matter is wrong”
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Gokaran Shukla
Surely black holes are both classical and quantum objects. As a quantum mechanical system, a black hole is characterized by quantum numbers and may have different quantum energy levels described by a Hamiltonian and emits and absorbs point-like particles with different probabilities, and not point particles or bare particles which do not exist. Much more amazing details in the attachment from Google book " Quantum Aspects of Black Holes" by Black Hole and Quantum Gravity expert Professor Xavier Calmet at Department of Physics at University of Sussex, Brighton, England, United Kingdom. https://books.google.com.lb/books?id=VESgBQAAQBAJ&pg=PA4&dq=a+black+hole+is+a+quantum+object&hl=en&sa=X&ved=0ahUKEwiJocCM1rjfAhWRYlAKHTw4CXcQ6wEITjAG#v=onepage&q=a%20black%20hole%20is%20a%20quantum%20object&f=false
or by highly distinguished Noble Laureate Professor Gerard 't Hooft in the attached file " On the Quantum structure of a Black Hole" http://www.staff.science.uu.nl/~hooft101/gthpub/Black_Hole_Q_Structure_1985.pdf
On the other hand , as a classical object, a black hole is clearly described either interiorly or exteriorly by different metrics such as Schwarzschild metric, which is the first exact black hole exterior solution, Kerr-Newman exterior (also interior) solution for a rotating and charged black hole, and maximally extended Schwarzschild black-hole-wormhole-white-hole solution.
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