CMB polarization data plots, almost a vector field, then what?

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Discussion Overview

The discussion revolves around the mathematical representation of the polarization data of the Cosmic Microwave Background (CMB), specifically questioning its classification as a field and the interpretation of color coding in related plots. The scope includes theoretical considerations and conceptual clarifications regarding the nature of the data.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • Some participants inquire about the classification of CMB polarization data, noting it has both magnitude and orientation that varies between 0° and 180°, and questioning whether it constitutes a mathematical field that is not quite a vector field.
  • One participant references the Stokes parameters as a mathematical definition for polarization on the sky.
  • There are questions regarding the meaning of the red and blue colors in the CMB polarization plots, with one participant suggesting they may represent temperature fluctuations.

Areas of Agreement / Disagreement

The discussion includes multiple inquiries and interpretations, with no consensus reached on the classification of the polarization data or the meaning of the color coding in the plots.

Contextual Notes

Participants have not fully defined the assumptions underlying their questions, nor have they resolved the mathematical implications of the polarization data representation.

Spinnor
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The data points of the polarization of the CMB are a magnitude and an orientation that varies between 0° and 180°. What kind of mathematical field is that, not quite a vector field?

Thanks for any help!
 
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Spinnor said:
The data points of the polarization of the CMB are a magnitude and an orientation that varies between 0° and 180°. What kind of mathematical field is that, not quite a vector field?

Thanks for any help!
This is how polarization on the sky is often defined mathematically:
http://en.wikipedia.org/wiki/Stokes_parameters
 
And what are the red and blue colors in the plots?
 
bcrowell said:
And what are the red and blue colors in the plots?

Temperature fluctuations?
 

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