String Theory, QCD and Black Holes
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Black Hole Microstate Structure Fuzzballs and Firewalls Iosif Bena IPhT, CEAEA Saclay with Nick Warner, Jan deBoer, Micha Berkooz, Simon Ross, Gianguido Dall’Agata, Stefano Giusto, Masaki Shigemori, Dieter van den Bleeken, Monica Guica, Sheer El-Showk, Stanislav Kuperstein, Hagen Triendl, Bert Vercnocke, Andrea Puhm, Ref. Ares(2012)790792 - 29/06/2012 ! Department C "Grant Management" ! Mittwoch, 12. März 2014 ! Subject: Aggressive marketing from publishing houses Dear Madam, Dear Sir, The European Research Council Executive Agency (ERCEA) would like to alert you of publishing houses and online publications which try to make profit out of publishing articles, or interviewing researchers funded from the EU budget, either by the European Research Council (ERC) or by the European Commission (EC). From time to time participants in projects funded under the EU framework programmes are contacted – often by telephone - by organisations seeking payment in return for publishing information on the work being undertaken within their projects. As with "cold calling" in general, the claims and assertions made should be treated with an appropriate level of caution before a decision is made on the best course of action. These publications and their services have not been endorsed by the EC, or the ERCEA. Common tactics to secure business may include vague references to high-level contributions from decision makers, or making the project participant believe that his or her activities have been identified on the basis of special merit which may not be the case. Commercial entities use many ways of promoting their services, but grant-holders are not obliged to use them. Whatever the impression given by such service providers, their products have not received any formal approval or endorsement from the EC or the ERCEA. Beneficiaries and their Principal Investigators are free to decide which types of external services are needed; the costs of such services are eligible as long as they meet the conditions set out in the annexes of their grant agreement. If you need further advice on this matter please contact !"#$#%&'()'*+,-.)'* If you as an ERC Principal Investigator or your Host Institution have been or would in the future be subject to these practices, it would be much appreciated if you could inform the ERCEA grant management services at your earliest convenience (same email address as above). Thank you for attention. Yours sincerely, [Signed] Mechtild May Head of Department C a.i. Black Holes Bekenstein & Hawking: Behave like thermodynamic objects Temperature, entropy: S ~ 10 77 solar mass BH S ~ 10 90 BH at center of Milky Way Mittwoch, 12. März 2014 Black Holes Bekenstein & Hawking: Behave like thermodynamic objects Temperature, entropy: S ~ 10 77 solar mass BH S ~ 10 90 BH at center of Milky Way Quantum 10 90 10000000 … 00000 Mechanics: e = e states Mittwoch, 12. März 2014 Black Holes Bekenstein & Hawking: Behave like thermodynamic objects Temperature, entropy: S ~ 10 77 solar mass BH S ~ 10 90 BH at center of Milky Way Quantum 10 90 10000000 … 00000 Mechanics: e = e states General HAIR Relativity: 1 big fat state Information paradox Mittwoch, 12. März 2014 WHERE ARE THE STATES ??? HOW DO THEY LOOK ??? • Very hard question – Quantum Gravity • Simpler question: – Count black hole states in any other way ? Strominger and Vafa (1996) + 1792 other articles Strings and Black Hole Branes Finite Gravity Zero Gravity Mittwoch, 12. März 2014 Ø Count quantum states at zero gravity Ø Entropy matches black hole classical horizon area !!! Ø 2 absolutely different calculations (Cardy Formula vs. classical area) Ø Amazing success Ø Modular forms, hypergeometric, other beasts Ø Unmatched in other theories of gravity String-QCD-BH STATISTICAL CFT ENSEMBLE STATES MECHANICS (Boundary) another way STROMINGER ! VAFA FILLPRESENT to understand: ENTROPY MATCHING WORK AdS-CFT GEOMETRIES Gravity BLACK HOLE Correspondence WITH NO HORIZON (Bulk) FigureMittwoch, 1: 12. MärzAn 2014 illustrative description of this picture of black holes. My research focuses on con- structing more microstate geometries with no horizon, and on improving the dictionary between the existing ones and the states of the CFT (the dashed vertical arrow). paradox: microstates have unitary physics, and thus information is not lost. Second, since the maximal entropy in a region of space comes from microstates that have the same size as the would-be black hole, this would prove ’t Hooft’s holographic principle. Third, these microstates will appear whenever we have a large-enough energy density, and it is quite likely that their physics will be dominant in cosmological settings, like in the Big Bang and the Big Crunch singularities. To use an analogy from classical physics, one can say this picture could revolutionize quantum gravity and the physics of black holes in the same way in which statistical physics revolutionized the understanding of thermodynamics. Furthermore, this picture of black holes might also be experimentally testable with the gravity wave detector LISA or if black holes are found at the Large Hadron Collider. It is therefore a crucial problem in quantum gravity to establish whether this picture is correct. In previous work I have taken quite a few important steps in this direction by constructing and analyzing huge families of black hole microstates, both in string theory and in supergravity. In the future, I believe there are two directions in this research programme that both have a good shot at proving or disproving this revolutionary picture of black holes. The first is to construct a precise map between the states of the dual boundary theory and the solutions we have constructed. Per Kraus and I have been the first to describe black rings in this CFT, and I believe I have some, and I can master the other tools needed to successfully attack this problem. Once this map is obtained, I intend to find the bulk geometries that correspond to the typical states of the CFT. These geometries would be then the typical microstates of the black hole; if they are horizonless, this would give a proof that the black hole is a thermodynamic description of an ensemble of horizonless configurations. The second direction is to construct more generic three-charge solutions, that have black hole charges and depend on several continuous functions. The solutions N. Warner and I have constructed have the appropriate charges, but do not depend on arbitrary functions. Other groups (including my present postdoc, A. Saxena) have on the other hand constructed solutions that depend on arbitrary functions, but do not have black hole charges. I think our methods can be combined to build these more generic solutions. We can then count them and see if they can account for the entropy of the black hole. If they do, this would again establish that black holes are ensembles of horizonless configurations. Another direction that is important to pursue in longer term is the construction of mi- crostates of near-BPS and non-BPS black holes. Most of the effort in this field has so far concentrated on constructing and analyzing microstates of BPS (supersymmetric) black holes. This is enough for the purpose of establishing this picture of black holes: if one can prove that BPS black holes are ensembles of horizonless microstates, then it will be rather unlikely that non-BPS black holes will not have the same description. However, if one is to use this picture Strominger and Vafa (1996): Count Black Hole Microstates (branes + strings) Correctly match B.H. entropy !!! Zero Gravity Black hole regime of parameters: Standard lore: As gravity becomes stronger, - brane configuration becomes smaller - horizon develops and engulfs it Susskind Horowitz, Polchinski - recover standard black hole Damour, Veneziano Mittwoch, 12. März 2014 Strominger and Vafa (1996): Count Black Hole Microstates (branes + strings) Correctly match B.H. entropy !!! Zero Gravity Black hole regime of parameters: Identical to black hole far away. Horizon → Smooth cap Giusto, Mathur, Saxena Bena, Warner Berglund, Gimon, Levi Mittwoch, 12. März 2014 BIG QUESTION: Are all black hole microstates becoming geometries with no horizon ? ? Black hole = ensemble of horizonless microstates Mathur & friends Mittwoch, 12. März 2014 Analogy with ideal gas Thermodynamics Statistical Physics (Air = ideal gas) (Air -- molecules) S P V = n R T e microstates dE = T dS + P dV typical atypical Thermodynamics Statistical Physics Black Hole Solution Microstate geometries Long distance physics Physics at horizon Gravitational lensing Information loss Mittwoch, 12. März 2014 Other formulations: e.g. Bena, Warner, 2007 - Thermodynamics (EF T) breaks down at horizon. New low-mass d.o.f. kick in. - No spacetime inside black holes. Quantum superposition of microstate geometries. Not some hand-waving idea - provable by rigorous calculations in String Theory Mittwoch, 12. März 2014 Other formulations: e.g. Bena, Warner, 2007 - Thermodynamics (EF T) breaks down at horizon. New low-mass d.o.f. kick in. Highly Unusual - No spacetime inside black holes. Quantumin this field superposition of microstate geometries. ☺ Not some hand-waving idea - provable by rigorous calculations in String Theory Mittwoch, 12. März 2014 Word of caution • To replace classical BH by BH-sized object – Gravastar – Infinite density firewall hovering above horizon – LQG configuration – Quark-star, you name it … – satisfy 2 very stringent tests: Horowitz Mittwoch, 12. März 2014 Word of caution • To replace classical