What does the TE CMB spectrum reveal?

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SUMMARY

The TE polarization spectrum measured by the Planck and WMAP satellites provides evidence for superhorizon fluctuations at low multipoles, supporting the theory of pre-big bang inflation. Will Kinney, a professor of Physics at SUNY Buffalo, discusses this in his book "An Infinity of Worlds: Cosmic Inflation and the Beginning of the Universe" (MIT Press, 2022), where he presents a figure illustrating the TE cross-correlation power spectrum. The negative peak near ##\ell=100## in the power spectrum is attributed to superhorizon modes, which are unique predictions of inflationary theory and cannot be explained by purely causal theories in an expanding universe.

PREREQUISITES
  • Understanding of TE polarization spectrum
  • Familiarity with Planck and WMAP satellite data
  • Knowledge of superhorizon fluctuations
  • Basic concepts of cosmic inflation
NEXT STEPS
  • Research the Planck collaboration's power spectrum papers
  • Study the implications of superhorizon perturbations in cosmology
  • Read "An Infinity of Worlds: Cosmic Inflation and the Beginning of the Universe" by Will Kinney
  • Explore the relationship between inflation and the structure of the universe
USEFUL FOR

Astronomers, cosmologists, and physics students interested in the implications of cosmic inflation and the analysis of the TE polarization spectrum from satellite data.

Rene Kail
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Does the polarization spectrum TE measured by the Planck and WMAP satellites show evidence for superhorizon fluctuations at low multipoles and are these evidence for pre-bigbang inflation?
 
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Rene Kail said:
Does the polarization spectrum TE measured by the Planck and WMAP satellites show evidence for superhorizon fluctuations at low multipoles and are these evidence for pre-bigbang inflation?
According to Will Kinney, yes. Kinney is a professor of Physics at SUNY Buffalo.

In chapter 6 of his recent book (see below) he presents a figure of the TE cross-correlation power spectrum showing an anti-correlation at low multipole moments assigned as superhorizon modes. Unfortunately, no reference to the literature is given.

The actual power spectrum is from the Planck collaboration. I checked that, although I fail to recall from which of their many papers.

Will Kinney, An Infinity of Worlds: Cosmic Inflation and the Beginning of the Universe, The MIT Press, 2022.
 
To elaborate the comments made in Post #2. The TE cross-correlation power spectrum (courtesy of NASA/LAMBDA Archive Team) from the Planck mission is illustrated below:
te_spectrum_2020aug_1024.png


It is the negative going peak in the power spectrum near ##\ell=100## that Kinney attributes to evidence consistent with superhorizon modes and thus with inflation.

Kinney said:
By far the most powerful general test of inflation is the presence of superhorizon perturbations. This is a prediction that is, at least in the case of an expanding universe, unique to inflation ... , and does not depend on any particular model for inflation. No purely causal theory in an expanding universe can produce superhorizon perturbations.
 

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