Quantum state of the multiverse

A third quantization formalism is applied to a simplified multiverse scenario. A well defined quantum state of the multiverse is obtained which agrees with standard boundary condition proposals. These states are found to be squeezed, and related to accelerating universes: they share similar properties to those obtained previously by Grishchuk and Siderov. We also comment on related works that have criticized the third quantization approach.

Note:

15 pages, 2 figures

98.80.Qc
03.65.Ca
boundary condition
coherent state
density matrix
dimension: 1
expansion: acceleration
multiverse
quantization: 3
squeezed state

References(55)

Figures(0)

[1]

Wave Function of the Universe

J.B. Hartle
(
- Chicago U., EFI and
- Santa Barbara, KITP
)
,
S.W. Hawking
(
- Cambridge U. and
- Santa Barbara, KITP
)

- Phys.Rev.D 28 (1983) 2960-2975,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 174-189
•
DOI:
- 10.1103/PhysRevD.28.2960

[2]

Quantum Theory of Gravity. 1. The Canonical Theory

Bryce S. DeWitt
(
- Princeton, Inst. Advanced Study and
- North Carolina U.
)

- Phys.Rev. 160 (1967) 1113-1148,
•
DOI:
- 10.1103/PhysRev.160.1113

[3]

S.W. Hawking

- Pontif.Acad.Sci.Scri.Varia 48 (1982) 563

[4]

Boundary Conditions in Quantum Cosmology

Alexander Vilenkin
(
- Tufts U.
)

- Phys.Rev.D 33 (1986) 3560
•
DOI:
- 10.1103/PhysRevD.33.3560

[5]

Creation of Universes from Nothing

Alexander Vilenkin
(
- Tufts U.
)

- Phys.Lett.B 117 (1982) 25-28
•
DOI:
- 10.1016/0370-2693(82)90866-8

[5]

A. Vilenkin

[5]

Quantum Creation of Universes

A. Vilenkin
(
- Tufts U.
)

- Phys.Rev.D 30 (1984) 509-511,
- Phys. Rev. D30 ( 1984) 509-511
•
DOI:
- 10.1103/PhysRevD.30.509

[6]

On the Nature of quantum geometrodynamics

John A. Wheeler
(
- Princeton U.
)

- Annals Phys. 2 (1957) 604-614
•
DOI:
- 10.1016/0003-4916(57)90050-7

[7]

Space-Time Foam

S.W. Hawking
(
- Cambridge U.
)

- Nucl.Phys.B 144 (1978) 349-362
•
DOI:
- 10.1016/0550-3213(78)90375-9

[8]

13

A. Barrau

- CERN Cour. 47 (2007) N10

[9]

Relative state formulation of quantum mechanics

Hugh Everett
(
- Princeton U.
)

- Rev.Mod.Phys. 29 (1957) 454-462
•
DOI:
- 10.1103/RevModPhys.29.454

[10]

ETERNAL CHAOTIC INFLATION

Andrei D. Linde
(
- Lebedev Inst.
)

- Mod.Phys.Lett.A 1 (1986) 81
•
DOI:
- 10.1142/S0217732386000129

[11]

The Anthropic landscape of string theory

Leonard Susskind
(
- Stanford U., Phys. Dept.
)

•
e-Print:
- hep-th/0302219

[11]

JHEP01 (2004) 060

S.K. Ashok
,
M.R. Douglas

[11]

P.C.W. Davies

[11]

Multiverse cosmological models

Paul C.W. Davies
(
- Macquarie U.
)

- Mod.Phys.Lett.A 19 (2004) 727-744
•
e-Print:
- astro-ph/0403047
•
DOI:
- 10.1142/S021773230401357X

[12]

Universe or Multiverse, CUP, Cambridge (2007)

B. Carr

[13]

Wormholes and non-simply connected manifolds, in Quantum Cosmology and Baby Universes, Vol. 7, S. Coleman, J. B. Hartle, T. Piran and S. Weinberg (eds.) London (1990)