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MG11 Berlin Welcome to GT5 Wormholes Time machines and Energy conditions Chairperson Dr. Mark Hadley [email protected] GT5 Schedule Hadley, Mark Time Machines and Quantum Theory 14.30 25' Krasnikov, Serguei Mundane Wormholes 14.55 25' Lobo, Francisco Traversable wormholes supported by cosmic accelerated 15.20 25'expand Gonzalez-diaz, Pedro F.Wormholes in the accelerating Universe 15.45 25' Adamiak, Jaroslaw 16.10 20' Static and Dynamic Traversable Wormholes Tea Break De Felice, Fernando Naked Singularities, time machines and impulsive 17.00 events 15' Mitskievich, Nikolai V. Nariai--Bertotti--Robinson spacetimes as a building 17.15 material 15' for on Darabi, Farhad Classical and quantum wormholes in a λ-decaying cosmology 17.30 15' Zannias, Thomas On Wormholes solutions of Einstein-Masless K-Theory. 17.45 15' Garattini, Remo Self sustained traversable wormholes? Zaslavskii, Oleg N-spheres: regular black holes without apparent18.15 horizons, 15'static w Osterbrink, Lutz Averaged Energy Inequalities for Non-Minimally18.30 Coupled 15'Classica Berrocal Arellano, Aaron Vicente Dynamic wormhole spacetimes coupled to nonlinear 18.45 15' 18.00 15' Would Einstein have come to this session? [email protected] GT5 + Einstein + 1950 = χ Causality cannot be violated Bell’s Inequalities 1963 Aspect’s Experiments 1983 -------------GT5 + 2006 + Einstein = √ God goes not play dice Time machines and quantum theory Dr Mark Hadley Explaining Quantum Theory • • Bell’s Inequalities Aspect’s EPR Experiments We cannot explain quantum theory with any local hidden variables theory. We cannot model particles as 3-D solutions [of GR] that evolve in time. [email protected] Evolving 3-manifolds… • Prepare a beam of electrons Y X Stern Gerlach [email protected] Spin measurement • Venn diagram of all 3-manifolds X↑ X↓ X↑ Y→X↑ Y→ X↓ Y→X↓ Y→ Y→ All manifolds consistent with the state preparation X↑ Y←X↑ Y← X↓ Y←X↓ Y← Y← but, {X↑ Y→} does not exist in theory or experiment. [email protected] Geometric models • We cannot model particles as 3-D solutions that evolve in time. • Need context dependence/ Non-locality • Non-trivial causal structure as part of a particle: 4-geon [email protected] Spin measurement Incompatible boundary conditions Sets of 3 manifolds State preparation x-measurement y-measurement X↑ Y→ X↓ Y← {X↑Y→} = [email protected] Quantum Logic • Quantum theory is characterised by an orthomodular lattice of propositions – a nonBoolean logic. • so is GR with a acausal space times. • The only known way to represent experimental probabilities on such a lattice is using subspaces of a Hilbert space. [email protected] Testing the orientability of space [email protected] Testing the orientability of time ? [email protected] Testing the orientability of time [email protected] Acausal manifolds Mathematical and physical descriptions of a space time are not the same • Space-time + The observer + The experiments + The results.. ..are all interlinked Quantum theory gives a consistent description of such an interlinking. [email protected] GR may be the unifying theory after all [email protected] Einstein Rosen Bridge is not time-orientable Einstein Rosen bridge: Phys Rev 48, 73 (1935) [email protected] Other results from non timeorientable manifolds • Electric, but not magnetic chare from source-free Einstein-Maxwell equations • Diemer and Hadley Class. Quantum Grav. (1999) • Explains spin half • Hadley Class. Quantum Grav. (2000) [email protected] 4-geon • Non-trivial causal structure as part of the particle. • Particle and its evolution are inseparable. • Context dependent – Signals from the “future” experimental set up. – Measurement can set non-redundant boundary conditions (Time reversal is part of a measurement) [email protected] A gravitational explanation for quantum theory • Aims to explain – QM – Particle spectrum – Fundamental interactions • Predictions – No graviton (Gravity waves are just classical waves) – Spin-half –Parity is conserved [email protected]