Nonlocal entanglement and directional correlations of primordial perturbations on the inflationary horizon

Hogan, Craig

doi:10.1103/PhysRevD.99.063531

Title: Nonlocal entanglement and directional correlations of primordial perturbations on the inflationary horizon

Abstract

Models are developed to estimate properties of relic cosmic perturbations with “spooky” nonlocal correlations on the inflationary horizon, analogous to those previously posited for information on black hole event horizons. Scalar curvature perturbations are estimated to emerge with a dimensionless power spectral density Δ²_S ≈ Ht_P, the product of inflationary expansion rate H with Planck time tP, larger than standard inflaton fluctuations. Current measurements of the spectrum are used to derive constraints on parameters of the effective potential in a slow-roll background. It is shown that spooky nonlocality can create statistically homogeneous and isotropic primordial curvature perturbations that are initially directionally antisymmetric. In conclusion, new statistical estimators are developed to study unique signatures in cosmic microwave background anisotropy and large-scale galaxy surveys.

Authors:

Hogan, Craig ^[1]

Univ. of Chicago, Chicago, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Publication Date:: Mon Mar 25 00:00:00 EDT 2019

Research Org.:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1484457

Alternate Identifier(s):: OSTI ID: 1546198

Report Number(s):: arXiv:1811.03283; FERMILAB-PUB-18-178-A
Journal ID: ISSN 2470-0010; PRVDAQ; 1702652

Grant/Contract Number:: AC02-07CH11359

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 99; Journal Issue: 6; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS

Citation Formats


                    Hogan, Craig. Nonlocal entanglement and directional correlations of primordial perturbations on the inflationary horizon.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.063531.

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                    Hogan, Craig. Nonlocal entanglement and directional correlations of primordial perturbations on the inflationary horizon.  United States.  https://doi.org/10.1103/PhysRevD.99.063531

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                    Hogan, Craig. Mon .  
"Nonlocal entanglement and directional correlations of primordial perturbations on the inflationary horizon".  United States.  https://doi.org/10.1103/PhysRevD.99.063531.  https://www.osti.gov/servlets/purl/1484457.

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@article{osti_1484457,

  title        = {Nonlocal entanglement and directional correlations of primordial perturbations on the inflationary horizon},

  author       = {Hogan, Craig},

  abstractNote = {Models are developed to estimate properties of relic cosmic perturbations with “spooky” nonlocal correlations on the inflationary horizon, analogous to those previously posited for information on black hole event horizons. Scalar curvature perturbations are estimated to emerge with a dimensionless power spectral density Δ2S ≈ HtP, the product of inflationary expansion rate H with Planck time tP, larger than standard inflaton fluctuations. Current measurements of the spectrum are used to derive constraints on parameters of the effective potential in a slow-roll background. It is shown that spooky nonlocality can create statistically homogeneous and isotropic primordial curvature perturbations that are initially directionally antisymmetric. In conclusion, new statistical estimators are developed to study unique signatures in cosmic microwave background anisotropy and large-scale galaxy surveys.},

  doi          = {10.1103/PhysRevD.99.063531},

  journal      = {Physical Review D},

  number       = 6,

  volume       = 99,

  place        = {United States},

  year         = {Mon Mar 25 00:00:00 EDT 2019},

  month        = {Mon Mar 25 00:00:00 EDT 2019}

}

Copy to clipboard

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Works referenced in this record:

Effective Field Theory, Black Holes, and the Cosmological Constant
journal, June 1999

Cohen, Andrew G.; Kaplan, David B.; Nelson, Ann E.
Physical Review Letters, Vol. 82, Issue 25
DOI: 10.1103/PhysRevLett.82.4971

Entanglement Equilibrium and the Einstein Equation
journal, May 2016

Jacobson, Ted
Physical Review Letters, Vol. 116, Issue 20
DOI: 10.1103/PhysRevLett.116.201101

Gauge-invariant cosmological perturbations
journal, October 1980

Bardeen, James M.
Physical Review D, Vol. 22, Issue 8
DOI: 10.1103/PhysRevD.22.1882

Statistical model of exotic rotational correlations in emergent space-time
journal, June 2017

Hogan, Craig; Kwon, Ohkyung; Richardson, Jonathan
Classical and Quantum Gravity, Vol. 34, Issue 13
DOI: 10.1088/1361-6382/aa73c0

First Measurements of High Frequency Cross-Spectra from a Pair of Large Michelson Interferometers
journal, September 2016

Chou, Aaron S.; Gustafson, Richard; Hogan, Craig
Physical Review Letters, Vol. 117, Issue 11
DOI: 10.1103/PhysRevLett.117.111102

Entanglement Entropy of Black Holes
journal, October 2011

Solodukhin, Sergey N.
Living Reviews in Relativity, Vol. 14, Issue 1
DOI: 10.12942/lrr-2011-8

Interferometric constraints on quantum geometrical shear noise correlations
journal, July 2017

Chou, Aaron; Glass, Henry; Richard Gustafson, H.
Classical and Quantum Gravity, Vol. 34, Issue 16
DOI: 10.1088/1361-6382/aa7bd3

The Holometer: an instrument to probe Planckian quantum geometry
journal, February 2017

Chou, Aaron; Glass, Henry; Gustafson, H. Richard
Classical and Quantum Gravity, Vol. 34, Issue 6
DOI: 10.1088/1361-6382/aa5e5c

Improved Constraints on Cosmology and Foregrounds from BICEP2 and Keck Array Cosmic Microwave Background Data with Inclusion of 95 GHz Band
journal, January 2016

Ade, P. A. R.; Ahmed, Z.; Aikin, R. W.
Physical Review Letters, Vol. 116, Issue 3
DOI: 10.1103/PhysRevLett.116.031302

Precision of inflaton potential reconstruction from CMB using the general slow-roll approximation
journal, July 2005

Kadota, Kenji; Dodelson, Scott; Hu, Wayne
Physical Review D, Vol. 72, Issue 2
DOI: 10.1103/PhysRevD.72.023510

General relativity from a thermodynamic perspective
journal, February 2014

Padmanabhan, T.
General Relativity and Gravitation, Vol. 46, Issue 3
DOI: 10.1007/s10714-014-1673-7

Interferometers as probes of Planckian quantum geometry
journal, March 2012

Hogan, Craig J.
Physical Review D, Vol. 85, Issue 6
DOI: 10.1103/PhysRevD.85.064007

One- and two-mode squeezed light in correlated interferometry
journal, November 2015

Ruo-Berchera, I.; Degiovanni, I. P.; Olivares, S.
Physical Review A, Vol. 92, Issue 5
DOI: 10.1103/PhysRevA.92.053821

Dark Energy Survey Year 1 Results: The Photometric Data Set for Cosmology
journal, April 2018

Drlica-Wagner, A.; Sevilla-Noarbe, I.; Rykoff, E. S.
The Astrophysical Journal Supplement Series, Vol. 235, Issue 2
DOI: 10.3847/1538-4365/aab4f5

Models of exotic interferometer cross-correlations in emergent space-time
journal, September 2018

Hogan, Craig; Kwon, Ohkyung
Classical and Quantum Gravity, Vol. 35, Issue 20
DOI: 10.1088/1361-6382/aadea4

Information loss
journal, July 2017

Unruh, William G.; Wald, Robert M.
Reports on Progress in Physics, Vol. 80, Issue 9
DOI: 10.1088/1361-6633/aa778e

Planck 2015 results : XVII. Constraints on primordial non-Gaussianity
journal, September 2016

Ade, P. A. R.; Aghanim, N.; Arnaud, M.
Astronomy & Astrophysics, Vol. 594
DOI: 10.1051/0004-6361/201525836

Inflation
conference, January 2012

Baumann, Daniel
Proceedings of the Theoretical Advanced Study Institute in Elementary Particle Physics, Physics of the Large and the Small
DOI: 10.1142/9789814327183_0010

Planck 2015 results : XIII. Cosmological parameters
journal, September 2016

Ade, P. A. R.; Aghanim, N.; Arnaud, M.
Astronomy & Astrophysics, Vol. 594
DOI: 10.1051/0004-6361/201525830

The Quest for B Modes from Inflationary Gravitational Waves
journal, September 2016

Kamionkowski, Marc; Kovetz, Ely D.
Annual Review of Astronomy and Astrophysics, Vol. 54, Issue 1
DOI: 10.1146/annurev-astro-081915-023433

Loop quantum gravity: the first 25 years
journal, June 2011

Rovelli, Carlo
Classical and Quantum Gravity, Vol. 28, Issue 15
DOI: 10.1088/0264-9381/28/15/153002

Black Hole Unitarity and Antipodal Entanglement
journal, May 2016

’t Hooft, Gerard
Foundations of Physics, Vol. 46, Issue 9
DOI: 10.1007/s10701-016-0014-y

The Thermodynamics of Black Holes
journal, July 2001

Wald, Robert M.
Living Reviews in Relativity, Vol. 4, Issue 1
DOI: 10.12942/lrr-2001-6

Aspects of holographic entanglement entropy
journal, August 2006

Ryu, Shinsei; Takayanagi, Tadashi
Journal of High Energy Physics, Vol. 2006, Issue 08
DOI: 10.1088/1126-6708/2006/08/045

Planck 2015 results : XVI. Isotropy and statistics of the CMB
journal, September 2016

Ade, P. A. R.; Aghanim, N.; Akrami, Y.
Astronomy & Astrophysics, Vol. 594
DOI: 10.1051/0004-6361/201526681

Virtual Black Holes and Space–Time Structure
journal, January 2018

’t Hooft, Gerard
Foundations of Physics, Vol. 48, Issue 10
DOI: 10.1007/s10701-017-0133-0

Experiment and the foundations of quantum physics
journal, March 1999

Zeilinger, Anton
Reviews of Modern Physics, Vol. 71, Issue 2
DOI: 10.1103/RevModPhys.71.S288

Cosmic Bell Test: Measurement Settings from Milky Way Stars
journal, February 2017

Handsteiner, Johannes; Friedman, Andrew S.; Rauch, Dominik
Physical Review Letters, Vol. 118, Issue 6
DOI: 10.1103/PhysRevLett.118.060401

Quantum Gravity
book, January 2004

Rovelli, Carlo
Cambridge University Press
DOI: 10.1017/CBO9780511755804

CMB anomalies after Planck
journal, August 2016

Schwarz, Dominik J.; Copi, Craig J.; Huterer, Dragan
Classical and Quantum Gravity, Vol. 33, Issue 18
DOI: 10.1088/0264-9381/33/18/184001

The world as a hologram
journal, November 1995

Susskind, Leonard
Journal of Mathematical Physics, Vol. 36, Issue 11
DOI: 10.1063/1.531249

Large-angle cosmic microwave background suppression and polarization predictions
journal, August 2013

Copi, Craig J.; Huterer, Dragan; Schwarz, Dominik J.
Monthly Notices of the Royal Astronomical Society, Vol. 434, Issue 4
DOI: 10.1093/mnras/stt1287

Black Holes and Entropy
journal, April 1973

Bekenstein, Jacob D.
Physical Review D, Vol. 7, Issue 8
DOI: 10.1103/PhysRevD.7.2333

Microwave background polarization as a probe of large-angle correlations
journal, June 2015

Yoho, Amanda; Aiola, Simone; Copi, Craig J.
Physical Review D, Vol. 91, Issue 12
DOI: 10.1103/PhysRevD.91.123504

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006

Ryu, Shinsei; Takayanagi, Tadashi
Physical Review Letters, Vol. 96, Issue 18
DOI: 10.1103/PhysRevLett.96.181602

On the origin of gravity and the laws of Newton
journal, April 2011

Verlinde, Erik
Journal of High Energy Physics, Vol. 2011, Issue 4
DOI: 10.1007/JHEP04(2011)029

The holographic principle
journal, August 2002

Bousso, Raphael
Reviews of Modern Physics, Vol. 74, Issue 3
DOI: 10.1103/RevModPhys.74.825

Non-gaussian features of primordial fluctuations in single field inflationary models
journal, May 2003

Maldacena, Juan
Journal of High Energy Physics, Vol. 2003, Issue 05
DOI: 10.1088/1126-6708/2003/05/013

Thermodynamics of Spacetime: The Einstein Equation of State
journal, August 1995

Jacobson, Ted
Physical Review Letters, Vol. 75, Issue 7
DOI: 10.1103/PhysRevLett.75.1260

Dark Energy Survey Year 1 Results: redshift distributions of the weak-lensing source galaxies
journal, April 2018

Hoyle, B.; Gruen, D.; Bernstein, G. M.
Monthly Notices of the Royal Astronomical Society, Vol. 478, Issue 1
DOI: 10.1093/mnras/sty957

Planck 2015 results : XX. Constraints on inflation
journal, September 2016

Ade, P. A. R.; Aghanim, N.; Arnaud, M.
Astronomy & Astrophysics, Vol. 594
DOI: 10.1051/0004-6361/201525898

A new type of isotropic cosmological models without singularity
journal, March 1980

Starobinsky, A. A.
Physics Letters B, Vol. 91, Issue 1
DOI: 10.1016/0370-2693(80)90670-X

Particle creation by black holes
journal, August 1975

Hawking, S. W.
Communications In Mathematical Physics, Vol. 43, Issue 3
DOI: 10.1007/BF02345020

No large-angle correlations on the non-Galactic microwave sky
journal, October 2009

Copi, Craig J.; Huterer, Dragan; Schwarz, Dominik J.
Monthly Notices of the Royal Astronomical Society, Vol. 399, Issue 1
DOI: 10.1111/j.1365-2966.2009.15270.x

Works referencing / citing this record:

Symmetries of CMB Temperature Correlation at Large Angular Separations
journal, January 2020

Hagimoto, Ray; Hogan, Craig; Lewin, Collin
The Astrophysical Journal, Vol. 888, Issue 2
DOI: 10.3847/2041-8213/ab62a0

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Title: Nonlocal entanglement and directional correlations of primordial perturbations on the inflationary horizon

Abstract

Citation Formats

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Interferometers as probes of Planckian quantum geometry journal, March 2012

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Dark Energy Survey Year 1 Results: The Photometric Data Set for Cosmology journal, April 2018

Models of exotic interferometer cross-correlations in emergent space-time journal, September 2018

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Planck 2015 results : XVII. Constraints on primordial non-Gaussianity journal, September 2016

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Loop quantum gravity: the first 25 years journal, June 2011

Black Hole Unitarity and Antipodal Entanglement journal, May 2016

The Thermodynamics of Black Holes journal, July 2001

Aspects of holographic entanglement entropy journal, August 2006

Planck 2015 results : XVI. Isotropy and statistics of the CMB journal, September 2016

Virtual Black Holes and Space–Time Structure journal, January 2018

Experiment and the foundations of quantum physics journal, March 1999

Cosmic Bell Test: Measurement Settings from Milky Way Stars journal, February 2017

Quantum Gravity book, January 2004

CMB anomalies after Planck journal, August 2016

The world as a hologram journal, November 1995

Large-angle cosmic microwave background suppression and polarization predictions journal, August 2013

Black Holes and Entropy journal, April 1973

Microwave background polarization as a probe of large-angle correlations journal, June 2015

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal, May 2006

On the origin of gravity and the laws of Newton journal, April 2011

The holographic principle journal, August 2002

Non-gaussian features of primordial fluctuations in single field inflationary models journal, May 2003

Thermodynamics of Spacetime: The Einstein Equation of State journal, August 1995

Dark Energy Survey Year 1 Results: redshift distributions of the weak-lensing source galaxies journal, April 2018

Planck 2015 results : XX. Constraints on inflation journal, September 2016

A new type of isotropic cosmological models without singularity journal, March 1980

Particle creation by black holes journal, August 1975

No large-angle correlations on the non-Galactic microwave sky journal, October 2009

Symmetries of CMB Temperature Correlation at Large Angular Separations journal, January 2020

Effective Field Theory, Black Holes, and the Cosmological Constant
journal, June 1999

Entanglement Equilibrium and the Einstein Equation
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Gauge-invariant cosmological perturbations
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Statistical model of exotic rotational correlations in emergent space-time
journal, June 2017

First Measurements of High Frequency Cross-Spectra from a Pair of Large Michelson Interferometers
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Entanglement Entropy of Black Holes
journal, October 2011

Interferometric constraints on quantum geometrical shear noise correlations
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The Holometer: an instrument to probe Planckian quantum geometry
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Improved Constraints on Cosmology and Foregrounds from BICEP2 and Keck Array Cosmic Microwave Background Data with Inclusion of 95 GHz Band
journal, January 2016

Precision of inflaton potential reconstruction from CMB using the general slow-roll approximation
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General relativity from a thermodynamic perspective
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Interferometers as probes of Planckian quantum geometry
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One- and two-mode squeezed light in correlated interferometry
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Dark Energy Survey Year 1 Results: The Photometric Data Set for Cosmology
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Models of exotic interferometer cross-correlations in emergent space-time
journal, September 2018

Information loss
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Planck 2015 results : XVII. Constraints on primordial non-Gaussianity
journal, September 2016

Inflation
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Planck 2015 results : XIII. Cosmological parameters
journal, September 2016

The Quest for B Modes from Inflationary Gravitational Waves
journal, September 2016

Loop quantum gravity: the first 25 years
journal, June 2011

Black Hole Unitarity and Antipodal Entanglement
journal, May 2016

The Thermodynamics of Black Holes
journal, July 2001

Aspects of holographic entanglement entropy
journal, August 2006

Planck 2015 results : XVI. Isotropy and statistics of the CMB
journal, September 2016

Virtual Black Holes and Space–Time Structure
journal, January 2018

Experiment and the foundations of quantum physics
journal, March 1999

Cosmic Bell Test: Measurement Settings from Milky Way Stars
journal, February 2017

Quantum Gravity
book, January 2004

CMB anomalies after Planck
journal, August 2016

The world as a hologram
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journal, August 2013

Black Holes and Entropy
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Microwave background polarization as a probe of large-angle correlations
journal, June 2015

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journal, May 2006

On the origin of gravity and the laws of Newton
journal, April 2011

The holographic principle
journal, August 2002

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journal, May 2003

Thermodynamics of Spacetime: The Einstein Equation of State
journal, August 1995

Dark Energy Survey Year 1 Results: redshift distributions of the weak-lensing source galaxies
journal, April 2018

Planck 2015 results : XX. Constraints on inflation
journal, September 2016

A new type of isotropic cosmological models without singularity
journal, March 1980

Particle creation by black holes
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