Algebraic Observational Cosmology

Kudler-Flam, Jonah; Leutheusser, Samuel; Satishchandran, Gautam

Algebraic Observational Cosmology

Jonah Kudler-Flam
(
- Princeton, Inst. Advanced Study and
- Princeton U., PCTS
)
,
Samuel Leutheusser
(
- Princeton U.
)
,
Gautam Satishchandran
(
- Princeton U.
)

Jun 3, 2024

5 pages

e-Print:

2406.01669 [hep-th]

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Abstract: (arXiv)

What can be measured by an observer in our universe? We address this question by constructing an algebra of gravitationally-dressed observables accessible to a comoving observer in FLRW spacetimes that are asymptotically de Sitter in the past, describing an inflationary epoch. An essential quantized degree of freedom is the zero-mode of the inflaton, which leads to fluctuations in the effective cosmological constant during inflation and prevents the existence of a maximum entropy state in the semiclassical limit. Due to the inaccessibility of measurements beyond our cosmological horizon, we demonstrate that all states are mixed with well-defined von Neumann entropy (up to a state-independent constant). For semiclassical states, the von Neumann entropy corresponds to the generalized entropy of the observer's causal diamond, a fine-grained quantity that is sensitive to the initial conditions of the universe.

Note:

5 pages, 2 figures. v2: minor clarifications, references added

entropy: von Neumann
space-time: Robertson-Walker
semiclassical
inflation
diamond
causality
zero mode
algebra
inflaton
fluctuation

References(71)

Figures(3)

[1]

How well is our universe described by an FLRW model?

Stephen R. Green
(
- Guelph U.
)
,
Robert M. Wald
(
- Chicago U., EFI and
- Chicago U.
)

- Class.Quant.Grav. 31 (2014) 234003
•
e-Print:
- 1407.8084
•
DOI:
- 10.1088/0264-9381/31/23/234003

[2]

Large scale structure of the universe and cosmological perturbation theory

F. Bernardeau
(
- Saclay
)
,
S. Colombi
(
- Paris, Inst. Astrophys.
)
,
E. Gaztanaga
(
- CSIC, Catalunya and
- INAOE, Puebla
)
,
R. Scoccimarro
(
- Princeton, Inst. Advanced Study and
- New York U.
)

- Phys.Rept. 367 (2002) 1-248
•
e-Print:
- astro-ph/0112551
•
DOI:
- 10.1016/S0370-1573(02)00135-7

[3]

Big Bang Nucleosynthesis: 2015

- Rev.Mod.Phys. 88 (2016) 015004
•
e-Print:
- 1505.01076
•
DOI:
- 10.1103/RevModPhys.88.015004

[4]

Measurements of $\Omega$ and $\Lambda$ from 42 High Redshift Supernovae

Supernova Cosmology Project

Collaboration

•

S. Perlmutter
(
- UC, Berkeley, CfPA
)

et al.

- Astrophys.J. 517 (1999) 565-586
•
e-Print:
- astro-ph/9812133
•
DOI:
- 10.1086/307221

[5]

Observational evidence from supernovae for an accelerating universe and a cosmological constant

et al.

- Astron.J. 116 (1998) 1009-1038
•
e-Print:
- astro-ph/9805201
•
DOI:
- 10.1086/300499

[6]

Cosmology (Cambridge University Press,)

D. Baumann

[7]

Planck 2018 results. VI. Cosmological parameters

Planck

Collaboration

•

N. Aghanim
(
- Orsay, IAS
)

et al.

- Astron.Astrophys. 641 (2020) A6,
- Astron.Astrophys. 652 (2021) C4 (erratum)
•
e-Print:
- 1807.06209
•
DOI:
- 10.1051/0004-6361/201833910

[8]

Il Nuovo Cimento (-1965) 19, 787 (1961)

H. Borchers

[9]

Helvetica Physica Acta (Switzerland) 36

H. Araki

[10]

Annales Henri Poincare

A. Strohmaier
,
E. Witten

[10]

Analytic States in Quantum Field Theory on Curved Spacetimes

- Annales Henri Poincare 25 (2024) 10, 4543-4590
•
e-Print:
- 2302.02709
•
DOI:
- 10.1007/s00023-024-01419-0

[11]

The Holographic principle

Raphael Bousso
(
- Santa Barbara, KITP
)

- Rev.Mod.Phys. 74 (2002) 825-874
•
e-Print:
- hep-th/0203101
•
DOI:
- 10.1103/RevModPhys.74.825

[12]

APS Medal for Exceptional Achievement in Research: Invited article on entanglement properties of quantum field theory

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Rev.Mod.Phys. 90 (2018) 4, 045003
•
e-Print:
- 1803.04993
•
DOI:
- 10.1103/RevModPhys.90.045003

[13]

Gravity and the crossed product

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- JHEP 10 (2022) 008
•
e-Print:
- 2112.12828
•
DOI:
- 10.1007/JHEP10(2022)008

[14]

An algebra of observables for de Sitter space

- JHEP 02 (2023) 082
•
e-Print:
- 2206.10780
•
DOI:
- 10.1007/JHEP02(2023)082

[15]

Large N algebras and generalized entropy

- JHEP 04 (2023) 009
•
e-Print:
- 2209.10454
•
DOI:
- 10.1007/JHEP04(2023)009

[16]

Generalized entropy for general subregions in quantum gravity

Kristan Jensen
(
- Victoria U.
)
,
Jonathan Sorce
(
- MIT, Cambridge, CTP
)
,
Antony J. Speranza
(
- Illinois U., Urbana
)

- JHEP 12 (2023) 020
•
e-Print:
- 2306.01837
•
DOI:
- 10.1007/JHEP12(2023)020

[17]

Generalized black hole entropy is von Neumann entropy

Jonah Kudler-Flam
(
- Princeton, Inst. Advanced Study and
- Princeton U., PCTS
)
,
Samuel Leutheusser
(
- Princeton U.
)
,
Gautam Satishchandran
(
- Princeton U.
)

- Phys.Rev.D 111 (2025) 2, 025013
•
e-Print:
- 2309.15897
•
DOI:
- 10.1103/PhysRevD.111.025013

[18]

A background-independent algebra in quantum gravity

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- JHEP 03 (2024) 077
•
e-Print:
- 2308.03663
•
DOI:
- 10.1007/JHEP03(2024)077

[19]

Inflation dynamics and reheating

Bruce A. Bassett
(
- Kyoto U. and
- Portsmouth U., ICG
)
,
Shinji Tsujikawa
(
- Gunma Coll. Tech.
)
,
David Wands
(
- Portsmouth U., ICG
)

- Rev.Mod.Phys. 78 (2006) 537-589
•
e-Print:
- astro-ph/0507632
•
DOI:
- 10.1103/RevModPhys.78.537

[20]

Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions

Viatcheslav F. Mukhanov
(
- Brown U. and
- Moscow, INR
)
,
H.A. Feldman
(
- Canadian Inst. Theor. Astrophys.
)
,
Robert H. Brandenberger
(
- Brown U.
)

- Phys.Rept. 215 (1992) 203-333
•
DOI:
- 10.1016/0370-1573(92)90044-Z

[21]

Gravitational Effects upon Cosmological Phase Transitions

Alexander Vilenkin
(
- Tufts U.
)
,
L.H. Ford
(
- Tufts U.
)

- Phys.Rev.D 26 (1982) 1231,
- IN *KOLB, E.W. (ED.), TURNER, M.S. (ED.): THE EARLY UNIVERSE* 507-517. (PHYS. REV. D26 (1982) 1231-1241)
•
DOI:
- 10.1103/PhysRevD.26.1231

[22]

Scalar Field Fluctuations in Expanding Universe and the New Inflationary Universe Scenario

Andrei D. Linde
(
- Lebedev Inst.
)

- Phys.Lett.B 116 (1982) 335-339
•
DOI:
- 10.1016/0370-2693(82)90293-3

[23]

Dynamics of Phase Transition in the New Inflationary Universe Scenario and Generation of Perturbations

Alexei A. Starobinsky
(
- Landau Inst.
)

- Phys.Lett.B 117 (1982) 175-178,
- Phys. Lett. B117 ( 1982) 175-178
•
DOI:
- 10.1016/0370-2693(82)90541-X

[24]

Eternal inflation and its implications

Alan H. Guth
(
- MIT, LNS
)

- J.Phys.A 40 (2007) 6811-6826
•
e-Print:
- hep-th/0702178
•
DOI:
- 10.1088/1751-8113/40/25/S25

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