1 / 37

MICRO-BLACK HOLES and WORMHOLES AT THE LHC

QUARKS-2008 15th International Seminar on High Energy Physics Sergiev Posad, Russia, 23-29 May, 2008. MICRO-BLACK HOLES and WORMHOLES AT THE LHC I.Ya.Aref`eva Steklov Mathematical Institute , Moscow. PREDICTIONS.

graham
Download Presentation

MICRO-BLACK HOLES and WORMHOLES AT THE LHC

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. QUARKS-2008 15th International Seminar on High Energy Physics Sergiev Posad, Russia, 23-29 May, 2008 MICRO-BLACK HOLES and WORMHOLES AT THE LHC I.Ya.Aref`eva Steklov Mathematical Institute, Moscow

  2. PREDICTIONS • Micro-Black hole production at CERN's Large Hadron Collider (LHC) • Micro-Wormhole/time machine production at LHC I.A. and I.V.Volovich, Time Machine at the LHC, arXiv: 07102696, Int.J.Geom.Meth.Mod.Phys. (2008)

  3. Outlook: • TeV gravity • Quantum Gravity • Black holes • Wormhole (WH) solutions • TIME MACHINES (CTCs) I.Volovich’s talk • Cross-sections and signatures at the LHC

  4. TeV Gravity N. Arkani-Hamed, S. Dimopoulos, G.R. Dvali, I. Antoniadis, 1998 Hierarchy problem

  5. Extra Dimensions

  6. Modification of the Newton law

  7. Possible signatures of TeV higher-dimensional gravity: • Black Hole/Worm Hole production • Signs of strong quantum gravity • KK modes

  8. TeV Gravity = Quantum Gravity I.A., K.S.Viswanathan, I.V.Volovich, Nucl.Phys., B452,1995, 346 Wave functions:

  9. Quantum Gravity =Summation over Topologies No a coupling constant to suppress-out channels with nontrivial topology

  10. Summation over topologies Theorem (Geroch, Tipler): Topology-changing spacetimes must have CTC (closed timelike curve)

  11. particles black hole Particles to Black Holes/Worm holes Wave functions:

  12. BH in Collisions • A possibility of production in ultra-relativistic particle collisions of some objects related to a non-trivial space-time structure is one of long-standing theoretical questions • In 1978 collision of two classical ultra relativistic particles was considered by D'Eath and Payne and the mass of the assumed final BH also has been estimated • In 1987 Amati, Ciafaloni, Veneziano and 't Hooft conjectured that in string theory and in QG at energies much higher than the Planck mass BH emerges. • Aichelburg-Sexl shock waves to describe particles, Shock Waves ------ > BH • Collidingplane gravitation waves to describe particles Plane Gr Waves ----- > BHI.A., Viswanathan, I.Volovich, 1995

  13. BLACK HOLE PRODUCTION • Collision of two fast point particles of energy E. • BH forms if the impact parameter b is comparable to the Schwarzschild radius rsof a BH of mass E. • The Thorn's hoop conjecture gives a rough estimate for classicalgeometrical cross-section

  14. BLACK HOLE PRODUCTION • To deal with BH creation in particles collisions we have to deal with trans-Planckian scales. • Trans-Planckian collisions in standard QG have inaccessible energy scale and cannot be realized in usual conditions. • TeV Gravity to produce BH at Labs (1999) Banks, Fischler, hep-th/9906038 I.A., hep-th/9910269, Giuduce, Rattazzi, Wells, hep-ph/0112161 Giddings, hep-ph/0106219 Dimopolos, Landsberg, hep-ph/0106295

  15. D-dimensional Schwarzschild Solution Meyers,…

  16. Classical geometric cross-section D-dimensional Aichelburg-Sexl Shock Waves Shock waves,Penrose, D’Eath, Eardley, Giddings,…

  17. BH Production in Particle Collisions at Collidersand Cosmic Rays

  18. Thermal Hawking Radiation Decay via Hawking Radiation Emit particles following an approximately black body thermal spectrum Astronomic BH – cold - NO Evaporation Micro BH -- hot -- Evaporation

  19. Micro-BH at Accelerators and parton structure are the parton momentum fractions the parton distribution functions S – the square of energy (in c.m.) Similar to muon pair production in pp scattering, Matveyev - Muradyan-Tavkhelidze, 1969, JINR Drell-Yan process: pp-->e+e- + X

  20. Parton Distribution Functions Q = 2 GeV for gluons (red), up (green), down (blue), and strange (violet) quarks

  21. Catalyze of BH production due to an anisotropy Dvali, Sibiryakov Inelasticity The ratio of the mass of the BH/WH to the initial energy of the collision as a function of the impact parameter divided by r0 (the Schwarzschild radius) Eardley,Yoshino, Randall

  22. Colliding Plane Gravitational Waves Plane coordinates; Kruskal coordinates Regions II and III containthe approaching plane waves. In the region IV the metric (4) is isomorphic to the Schwarzschildmetric. I.A, Viswanathan, I.Volovich, 1995 D-dim analog of the Chandrasekhar-Ferrari-Xanthopoulos duality?

  23. Wormholes • Lorentzian Wormhole is a region in spacetime in which 3-dim space-like sections have non-trivial topology. • By non-trivial topology we mean that these sections arenot simply connected • In the simplest case a WH has two mouths which join different regions of the space-time. • We can also imagine that there is a thin handle, or a throat connected these mouths. • Sometimes people refer to this topology as a 'shortcut' through out spacetime

  24. Wormholes • The term WH was introduced by J. Wheeler in 1957 • Already in 1921 by H. Weyl (mass in terms of EM) • The name WH comes from the following obvious picture. The worm could take a shortcut to the opposite side of the apple's skin by burrowing through its center, instead of traveling the entire distance around.

  25. Einstein-Rosen bridge Take Schwarzschild BH Take 2 copies of the region Discard the region inside the event horizon Kruskal diagram of the WH Glue these 2 copies of outside event horizon regions The embedding diagram of the Schwarzschild WH seems to show a static WH. However, this is an illusion of the Schwarzschild coordinate system, which is ill-behaved at the horizon

  26. The traveler just as a worm could take a shortcut to the opposite side of the universe through a topologically nontrivial tunnel.

  27. Wormholes • The first WH solution was found by Einstein and Rosen in 1935 (so-called E-R bridge) • There are many wormhole solutions in GR. • A great variety of them! With static throat, dynamic throat, spinning, not spinning, etc • Schwarzschild WHs (E-R bridges) • The Morris-Thorne WH • The Visser WH • Higher-dimensional WH • Brane WH

  28. Schwarzschild WH the coordinate change

  29. TraversableWormholes Morris, Thorne, Yurtsever, Visser,..

  30. TraversableWormholes Forasymptotically flat WH WH throat Absence of the event horizon The embedding condition together with the requirement of finiteness of the redshift function lead to the NEC violation on the WH throat

  31. Energy Conditions Penrose, Hawking NEC is violated on the wormhole throat

  32. WH in particles collisions BH WH DE shell

  33. BH / WH Production at Accelerators ILC

  34. Possible signatures of TeV higher-dimensional gravity: • Black Hole/Worm Hole production Thermal Hawking radiation • Signs of strong quantum gravity “In more spherical” final states • KK modes Extra heavy particles

  35. BH/WHproduction.Assumptions • Extra dimensions at TeV • Classical geometric cross-section • “Exotic” matter (Dark energy w<-1, Casimir, non-minimal coupling, …)

  36. Conclusion • TeV Gravity opens new channels – BHs, WHs • WH production at LHC is of the same order of magnitude as BH production • The important question on possible expe-rimental signatures of spacetime nontrivial objects deserves further explorations

More Related