Photographing the wave function of the universe - INSPIRE

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Photographing the wave function of the universe

Oct, 1999

10 pages

Published in:

Phys.Lett.B 468 (1999) 189-194

e-Print:

astro-ph/9910309 [astro-ph]

DOI:

10.1016/S0370-2693(99)01223-X

Report number:

IMPERIAL-TP-99-00-01

View in:

ADS Abstract Service

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Abstract: (arXiv)

We show that density fluctuations in standard inflationary scenarios may take the most general non-Gaussian distribution if the wave function of the Universe is not in the ground state. We adopt the Schr\"odinger picture to find a remarkable similarity between the most general inflaton wavefunction and the Edgeworth expansion used in probability theory. Hence we arrive at an explicit relation between the cumulants of the density fluctuations and the amplitudes or occupation numbers of the various energy eigenstates. For incoherent superpositions only even cumulants may be non-zero, but coherent superpositions may generate non-zero odd cumulants as well. Within this framework measurements of cumulants in Galaxy surveys directly map the wavefunction of the Universe.

Note:

Replaced with revised version Latex, 10 pages., accepted for publication in Phys. Lett. B Report-no: Imperial/TP/99-0/1

inflation
inflaton: wave function
density: fluctuation
energy eigenstate
cumulant expansion
coherent state
decoherence
Edgeworth expansion

References(22)

Figures(0)

The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems

Alan H. Guth
(
- SLAC
)

- Phys.Rev.D 23 (1981) 347-356,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 139-148 (reprint)
•
DOI:
- 10.1103/PhysRevD.23.347

- Phys.Lett.B 108 1220

Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking

- Phys.Rev.Lett. 48 (1982) 1220-1223,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 158-161 (reprint)
•
DOI:
- 10.1103/PhysRevLett.48.1220

Chaotic Inflation

Andrei D. Linde
(
- Lebedev Inst.
)

- Phys.Lett.B 129 (1983) 177-181,
- Reprinted in *Abbott, L.F. (ed.), Pi, S.Y. (ed.): Inflationary cosmology*, 37-41
•
DOI:
- 10.1016/0370-2693(83)90837-7

Cold dark matter cosmology with nonGaussian fluctuations from inflation

D.S. Salopek
(
- Cambridge U. and
- Fermilab
)

- Phys.Rev.D 45 (1992) 1139-1157
•
DOI:
- 10.1103/PhysRevD.45.1139

Nongaussian isocurvature perturbations from inflation

- Phys.Rev.D 56 (1997) R535-R539
•
e-Print:
- astro-ph/9610219
•
DOI:
- 10.1103/PhysRevD.56.R535

An isocurvature cdm cosmogony. I. a worked example of evolution through inflation

P.J.E. Peebles

- Astrophys.J. 510 (1999) 523
•
e-Print:
- astro-ph/9805194
•
DOI:
- 10.1086/306619

An isocurvature cdm cosmogony. 2. Observational tests

P.J.E. Peebles

- Astrophys.J. 510 (1999) 531
•
e-Print:
- astro-ph/9805212
•
DOI:
- 10.1086/306620

Microwave background anisotropies and large scale structure constraints on isocurvature modes in a two field model of inflation

Elena Pierpaoli
(
- British Columbia U.
)
,
Juan Garcia-Bellido
(
- Imperial Coll., London
)
,
Stefano Borgani
(
- INFN, Trieste and
- INFN, Perugia
)

- JHEP 10 (1999) 015
•
e-Print:
- hep-ph/9909420
•
DOI:
- 10.1088/1126-6708/1999/10/015

CMB polarization experiments

Matias Zaldarriaga
(
- MIT
)

- Astrophys.J. 503 (1998) 1
•
e-Print:
- astro-ph/9709271
•
DOI:
- 10.1086/305987

Minkowski functionals and cluster analysis for CMB maps

D. Novikov
(
- Kansas U. and
- Lebedev Inst.
)
,
Hume A. Feldman
(
- Kansas U.
)
,
Sergei F. Shandarin
(
- Kansas U. and
- Copenhagen, Theor. Astrophys. Ctr.
)

- Int.J.Mod.Phys.D 8 (1999) 291-306
•
e-Print:
- astro-ph/9809238
•
DOI:
- 10.1142/S0218271899000225

New troubles for inflation?

Marc Kamionkowski
(
- Columbia U.
)
,
Andrew H. Jaffe
(
- UC, Berkeley, CfPA
)

- Nature 395 (1998) 639-641
•
DOI:
- 10.1038/27078

Evidence for scale-scale correlations in the cosmic microwave background radiation

Jesus Pando
(
- Strasbourg Observ.
)
,
David Valls-Gabaud
(
- Strasbourg Observ. and
- Cambridge U., Inst. of Astron.
)
,
Li-Zhi Fang
(
- Arizona U.
)

- Phys.Rev.Lett. 81 (1998) 4568-4571
•
e-Print:
- astro-ph/9810165
•
DOI:
- 10.1103/PhysRevLett.81.4568

Is the cosmic microwave background really nonGaussian?

- Astrophys.J.Lett. 524 (2000) L79-L82
•
e-Print:
- astro-ph/9904254
•
DOI:
- 10.1086/312304

On the non-gaussianity observed in the cobe-dmr sky maps

- Astrophys.J. 533 (2000) 575
•
e-Print:
- astro-ph/9908070
•
DOI:
- 10.1086/308698

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

The Origin of Structure in the Universe

J.J. Halliwell
(
- Cambridge U. and
- Munich, Max Planck Inst.
)
,
S.W. Hawking
(
- Cambridge U. and
- Munich, Max Planck Inst.
)

- Phys.Rev.D 31 (1985) 1777,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 277-291
•
DOI:
- 10.1103/PhysRevD.31.1777

Nonvacuum initial states for cosmological perturbations of quantum mechanical origin

Jerome Martin
(
- Paris Observ.
)
,
Alain Riazuelo
(
- Paris Observ.
)
,
Mairi Sakellariadou
(
- CERN and
- Sussex U.
)

- Phys.Rev.D 61 (2000) 083518
•
e-Print:
- astro-ph/9904167
•
DOI:
- 10.1103/PhysRevD.61.083518

Quantum to classical transition of cosmological perturbations for nonvacuum initial states

J. Lesgourgues
(
- Tours U.
)
,
David Polarski
(
- Tours U. and
- Meudon Observ.
)
,
Alexei A. Starobinsky
(
- Landau Inst.
)

- Nucl.Phys.B 497 (1997) 479-510
•
e-Print:
- gr-qc/9611019
•
DOI:
- 10.1016/S0550-3213(97)00224-1

The Quantum Mechanics of the Scalar Field in the New Inflationary Universe

Alan H. Guth
(
- MIT, LNS and
- Harvard-Smithsonian Ctr. Astrophys.
)
,
So-Young Pi
(
- Boston U.
)

- Phys.Rev.D 32 (1985) 1899-1920,
•
DOI:
- 10.1103/PhysRevD.32.1899

- Biometrika 57 367

The Cold dark matter density perturbation

Andrew R. Liddle
(
- Sussex U.
)
,
David H. Lyth
(
- Lancaster U.
)

- Phys.Rept. 231 (1993) 1-105
•
e-Print:
- astro-ph/9303019
•
DOI:
- 10.1016/0370-1573(93)90114-S