## This content will become publicly available on January 16, 2021

# Symmetries of CMB Temperature Correlation at Large Angular Separations

## Abstract

A new analysis is presented of the angular correlation function C(Θ) of cosmic microwave background temperature at large angular separation, based on published maps derived from Wilkinson Microwave Anisotropy Probe and Planck satellite data, using different models of astrophysical foregrounds. It is found that using a common analysis, the results from the two satellites are very similar. In particular, it is found that previously published differences between measured values of C(Θ) near Θ = 90° arise mainly from different choices of masks in regions of largest Galactic emissions, and that demonstrated measurement biases are reduced by eliminating masks altogether. Here, the maps from both satellites are shown to agree with C(90°) = 0 to within estimated statistical and systematic errors, consistent with an exact symmetry predicted in a new holographic quantum model of inflation.

- Authors:

- Univ. of Texas, San Antonio, TX (United States); Univ. of Chicago, IL (United States)
- Univ. of Chicago, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Univ. of Chicago, IL (United States); Univ. of Arizona, Tucson, AZ (United States)
- Univ. of Chicago, IL (United States)

- Publication Date:

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

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1581424

- Report Number(s):
- [arXiv:1910.13989; FERMILAB-PUB-19-578-A]

[Journal ID: ISSN 2041-8213; oai:inspirehep.net:1762245]

- Grant/Contract Number:
- [AC02-07CH11359]

- Resource Type:
- Accepted Manuscript

- Journal Name:
- The Astrophysical Journal. Letters

- Additional Journal Information:
- [ Journal Volume: 888; Journal Issue: 2]; Journal ID: ISSN 2041-8213

- Publisher:
- Institute of Physics (IOP)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Cosmic microwave background radiation; Cosmic inflation; Quantum gravity; Cosmic anisotropy

### Citation Formats

```
Hagimoto, Ray, Hogan, Craig, Lewin, Collin, and Meyer, Stephan S. Symmetries of CMB Temperature Correlation at Large Angular Separations. United States: N. p., 2020.
Web. doi:10.3847/2041-8213/ab62a0.
```

```
Hagimoto, Ray, Hogan, Craig, Lewin, Collin, & Meyer, Stephan S. Symmetries of CMB Temperature Correlation at Large Angular Separations. United States. doi:10.3847/2041-8213/ab62a0.
```

```
Hagimoto, Ray, Hogan, Craig, Lewin, Collin, and Meyer, Stephan S. Thu .
"Symmetries of CMB Temperature Correlation at Large Angular Separations". United States. doi:10.3847/2041-8213/ab62a0.
```

```
@article{osti_1581424,
```

title = {Symmetries of CMB Temperature Correlation at Large Angular Separations},

author = {Hagimoto, Ray and Hogan, Craig and Lewin, Collin and Meyer, Stephan S.},

abstractNote = {A new analysis is presented of the angular correlation function C(Θ) of cosmic microwave background temperature at large angular separation, based on published maps derived from Wilkinson Microwave Anisotropy Probe and Planck satellite data, using different models of astrophysical foregrounds. It is found that using a common analysis, the results from the two satellites are very similar. In particular, it is found that previously published differences between measured values of C(Θ) near Θ = 90° arise mainly from different choices of masks in regions of largest Galactic emissions, and that demonstrated measurement biases are reduced by eliminating masks altogether. Here, the maps from both satellites are shown to agree with C(90°) = 0 to within estimated statistical and systematic errors, consistent with an exact symmetry predicted in a new holographic quantum model of inflation.},

doi = {10.3847/2041-8213/ab62a0},

journal = {The Astrophysical Journal. Letters},

number = [2],

volume = [888],

place = {United States},

year = {2020},

month = {1}

}

Works referenced in this record:

##
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

##
Entanglement Equilibrium and the Einstein Equation

journal, May 2016

- Jacobson, Ted
- Physical Review Letters, Vol. 116, Issue 20

##
The holographic spacetime model of cosmology

journal, October 2018

- Banks, Tom; Fischler, W.
- International Journal of Modern Physics D, Vol. 27, Issue 14

##
Thermodynamics of Spacetime: The Einstein Equation of State

journal, August 1995

- Jacobson, Ted
- Physical Review Letters, Vol. 75, Issue 7

##
*Planck* 2015 results : IX. Diffuse component separation: CMB maps

journal, September 2016

- Adam, R.; Ade, P. A. R.; Aghanim, N.
- Astronomy & Astrophysics, Vol. 594

##
Exotic rotational correlations in quantum geometry

journal, May 2017

- Hogan, Craig
- Physical Review D, Vol. 95, Issue 10

##
*Planck* 2015 results : X. Diffuse component separation: Foreground maps

journal, September 2016

- Adam, R.; Ade, P. A. R.; Aghanim, N.
- Astronomy & Astrophysics, Vol. 594

##
First‐Year *Wilkinson Microwave Anisotropy Probe* ( *WMAP* ) Observations: Preliminary Maps and Basic Results

journal, September 2003

- Bennett, C. L.; Halpern, M.; Hinshaw, G.
- The Astrophysical Journal Supplement Series, Vol. 148, Issue 1

##
SEVEN-YEAR *WILKINSON MICROWAVE ANISOTROPY PROBE* ( *WMAP* ) OBSERVATIONS: ARE THERE COSMIC MICROWAVE BACKGROUND ANOMALIES?

journal, January 2011

- Bennett, C. L.; Hill, R. S.; Hinshaw, G.
- The Astrophysical Journal Supplement Series, Vol. 192, Issue 2

##
CMB anomalies after Planck

journal, August 2016

- Schwarz, Dominik J.; Copi, Craig J.; Huterer, Dragan
- Classical and Quantum Gravity, Vol. 33, Issue 18

##
Black Hole Unitarity and Antipodal Entanglement

journal, May 2016

- ’t Hooft, Gerard
- Foundations of Physics, Vol. 46, Issue 9

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

journal, March 2019

- Hogan, Craig
- Physical Review D, Vol. 99, Issue 6

##
Entanglement Entropy of Black Holes

journal, October 2011

- Solodukhin, Sergey N.
- Living Reviews in Relativity, Vol. 14, Issue 1

##
Aspects of holographic entanglement entropy

journal, August 2006

- Ryu, Shinsei; Takayanagi, Tadashi
- Journal of High Energy Physics, Vol. 2006, Issue 08

##
*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

##
HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere

journal, April 2005

- Gorski, K. M.; Hivon, E.; Banday, A. J.
- The Astrophysical Journal, Vol. 622, Issue 2

##
General relativity from a thermodynamic perspective

journal, February 2014

- Padmanabhan, T.
- General Relativity and Gravitation, Vol. 46, Issue 3

##
*Planck* 2013 results. XII. Diffuse component separation

journal, October 2014

- Ade, P. A. R.; Aghanim, N.; Armitage-Caplan, C.
- Astronomy & Astrophysics, Vol. 571

##
Virtual Black Holes and Space–Time Structure

journal, January 2018

- ’t Hooft, Gerard
- Foundations of Physics, Vol. 48, Issue 10

##
NINE-YEAR *WILKINSON MICROWAVE ANISOTROPY PROBE* ( *WMAP* ) OBSERVATIONS: FINAL MAPS AND RESULTS

journal, September 2013

- Bennett, C. L.; Larson, D.; Weiland, J. L.
- The Astrophysical Journal Supplement Series, Vol. 208, Issue 2