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Welcome to GT5
Wormholes Time machines and Energy conditions
Chairperson Dr. Mark Hadley
MG11 Berlin
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 expanding equations of state15.20 25'
Gonzalez-diaz, Pedro F.Wormholes in the accelerating Universe 15.45 25'
Adamiak, Jaroslaw Static and Dynamic Traversable Wormholes 16.10 20'
Tea Break
De Felice, Fernando Naked Singularities, time machines and impulsive events17.00 15'
Mitskievich, Nikolai V. Nariai--Bertotti--Robinson spacetimes as a building material for one-way wormholes with horizons, but without singularity17.15 15'
Darabi, Farhad Classical and quantum wormholes in a λ-decaying cosmology17.30 15'
Zannias, Thomas On Wormholes solutions of Einstein-Masless K-Theory.17.45 15'
Garattini, Remo Self sustained traversable wormholes? 18.00 15'
Zaslavskii, Oleg N-spheres: regular black holes without apparent horizons, static wormholes with event horizons and gravastars with a tube-like core18.15 15'
Osterbrink, Lutz Averaged Energy Inequalities for Non-Minimally Coupled Classical Scalar Fields18.30 15'
Berrocal Arellano, Dynamic wormhole spacetimes coupled to nonlinear 18.45 15' Aaron Vicente
GT5
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Einstein
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1950
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χ
Causality cannot be violated
Bell’s Inequalities 1963
Aspect’s Experiments
1983 --------------
GT5
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2006
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Einstein
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God goes not play dice
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Dr Mark Hadley
Time machines and quantum theory
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.
Spin measurement• Venn diagram of all 3-manifolds
X↑
X↓
Y←Y→
X↑ Y→
X↓ Y→ X↓ Y←
X↑ Y←
All manifolds consistent with the state preparation
X↑ Y→
X↓ Y→ X↓ Y←
X↑ Y←
but, {X↑ Y→} does not exist in theory or experiment.
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
Spin measurement
{X↑∩ Y→} = ∅√
X↑
X↓ Y←
Y→
State preparation
x-measurement y-measurement
Sets of 3 manifolds
Incompatible boundary conditions
Quantum Logic• Quantum theory is characterised by an
orthomodular lattice of propositions – a non-Boolean 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.
Acausal manifoldsMathematical 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.
Einstein Rosen Bridgeis not time-orientable
Einstein Rosen bridge: Phys Rev 48, 73 (1935)
Other results from non time-orientable 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)
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)
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
