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MTd2
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This the breaktrhough by bousso, which was a student from Hawking. It sees it was accepted under peer review magazines in 2 months. You can find the versions at:
1. arXiv:1504.07660 [pdf, other]
Proof of a New Area Law in General Relativity
Raphael Bousso, Netta Engelhardt
Comments: 15 pages, 10 figures; v4: conclusion of Theorem IV.2 strengthened
Journal-ref: Phys. Rev. D 92, 044031 (2015)
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
2. arXiv:1504.07627 [pdf, other]
A New Area Law in General Relativity
Raphael Bousso, Netta Engelhardt
Comments: 4 pages, 2 figures; v3: typos fixed
Journal-ref: Phys. Rev. Lett. 115, 081301 (2015)
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)I really think this might yield for the solutions Hawings offer. But first take these papers into consideration: arxiv.org/abs/1506.02669
High Energy Physics - Theory
A Quantum Focussing Conjecture
Raphael Bousso, Zachary Fisher, Stefan Leichenauer, and Aron C. Wall
(Submitted on 8 Jun 2015)
We propose a universal inequality that unifies the Bousso bound with the classical focussing theorem. Given a surface σ that need not lie on a horizon, we define a finite generalized entropy Sgen as the area of σ in Planck units, plus the von Neumann entropy of its exterior. Given a null congruence N orthogonal to σ, the rate of change of Sgen per unit area defines a quantum expansion. We conjecture that the quantum expansion cannot increase along N. This extends the notion of universal focussing to cases where quantum matter may violate the null energy condition. Integrating the conjecture yields a precise version of the Strominger-Thompson Quantum Bousso Bound. Applied to locally parallel light-rays, the conjecture implies a Quantum Null Energy Condition: a lower bound on the stress tensor in terms of the second derivative of the von Neumann entropy. We sketch a proof of this novel relation in quantum field theory.
You can dare to identify the foliations defined by Bousso as related to mambrane paradigm. It's discussed here:
http://backreaction.blogspot.com.br/2015/09/more-about-hawking-and-perrys-new.html
There, you can find more links.
But I think consciously or not, the black hole is being hologramophied with matter, and we see what happens with it.
1. arXiv:1504.07660 [pdf, other]
Proof of a New Area Law in General Relativity
Raphael Bousso, Netta Engelhardt
Comments: 15 pages, 10 figures; v4: conclusion of Theorem IV.2 strengthened
Journal-ref: Phys. Rev. D 92, 044031 (2015)
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
2. arXiv:1504.07627 [pdf, other]
A New Area Law in General Relativity
Raphael Bousso, Netta Engelhardt
Comments: 4 pages, 2 figures; v3: typos fixed
Journal-ref: Phys. Rev. Lett. 115, 081301 (2015)
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)I really think this might yield for the solutions Hawings offer. But first take these papers into consideration: arxiv.org/abs/1506.02669
High Energy Physics - Theory
A Quantum Focussing Conjecture
Raphael Bousso, Zachary Fisher, Stefan Leichenauer, and Aron C. Wall
(Submitted on 8 Jun 2015)
We propose a universal inequality that unifies the Bousso bound with the classical focussing theorem. Given a surface σ that need not lie on a horizon, we define a finite generalized entropy Sgen as the area of σ in Planck units, plus the von Neumann entropy of its exterior. Given a null congruence N orthogonal to σ, the rate of change of Sgen per unit area defines a quantum expansion. We conjecture that the quantum expansion cannot increase along N. This extends the notion of universal focussing to cases where quantum matter may violate the null energy condition. Integrating the conjecture yields a precise version of the Strominger-Thompson Quantum Bousso Bound. Applied to locally parallel light-rays, the conjecture implies a Quantum Null Energy Condition: a lower bound on the stress tensor in terms of the second derivative of the von Neumann entropy. We sketch a proof of this novel relation in quantum field theory.
You can dare to identify the foliations defined by Bousso as related to mambrane paradigm. It's discussed here:
http://backreaction.blogspot.com.br/2015/09/more-about-hawking-and-perrys-new.html
There, you can find more links.
But I think consciously or not, the black hole is being hologramophied with matter, and we see what happens with it.