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MG11
Berlin
Welcome to
GT5
Wormholes Time machines and
Energy conditions
Chairperson
Dr. Mark Hadley
mark.hadley@warwick.ac.uk
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?
mark.hadley@warwick.ac.uk
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.
mark.hadley@warwick.ac.uk
Evolving 3-manifolds…
• Prepare a beam of electrons
Y
X
Stern
Gerlach
mark.hadley@warwick.ac.uk
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.
mark.hadley@warwick.ac.uk
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
mark.hadley@warwick.ac.uk
Spin measurement
Incompatible
boundary conditions
Sets of 3 manifolds
State preparation
x-measurement
y-measurement
X↑
Y→
X↓
Y←
{X↑Y→} = 
mark.hadley@warwick.ac.uk
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.
mark.hadley@warwick.ac.uk
Testing the orientability of space
mark.hadley@warwick.ac.uk
Testing the orientability of time ?
mark.hadley@warwick.ac.uk
Testing the orientability of time
mark.hadley@warwick.ac.uk
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.
mark.hadley@warwick.ac.uk
GR may be the
unifying theory
after all
mark.hadley@warwick.ac.uk
Einstein Rosen Bridge
is not time-orientable
Einstein Rosen bridge: Phys Rev 48, 73 (1935)
mark.hadley@warwick.ac.uk
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)
mark.hadley@warwick.ac.uk
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)
mark.hadley@warwick.ac.uk
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
mark.hadley@warwick.ac.uk