Question about first peak of CMB

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SUMMARY

The discussion centers on the interpretation of the first peak in the Cosmic Microwave Background (CMB) power spectrum as measured by the WMAP experiment. The first peak represents the fundamental frequency of sound waves in the early universe. The user explores the implications of an overdense region transitioning to underdensity during inflation, calculating distances and angles related to sound wave propagation. Key questions arise regarding the temperature differences measured between points influenced by these sound waves, specifically whether the differences are derived from the initial overdense region or from two positions reached by the sound waves at recombination.

PREREQUISITES
  • Understanding of Cosmic Microwave Background (CMB) physics
  • Familiarity with WMAP experiment data and analysis
  • Knowledge of sound wave propagation in cosmology
  • Basic concepts of inflationary theory and density fluctuations
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  • Research the implications of sound waves in the early universe and their impact on CMB anisotropies
  • Study the WMAP data analysis techniques for interpreting CMB power spectra
  • Explore the concept of overdensity and underdensity in cosmological models
  • Learn about the significance of angular scales in CMB observations
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Astronomers, cosmologists, and physics students interested in the early universe, CMB analysis, and the implications of density fluctuations on cosmic structure formation.

gluon
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Hello,i would like to ask something about the first peak in power spectrum of cmb giving by WMAP experiment.The y-axis is temprature difference between two points and the horizontal is the angle separation.the first peak giving as the fundamental frequency of sound wave right?
if we suppose that we have a overdense region at the time of inflation and until recombination it gets underdense and the wave have propagated at known distance which is given by d=c*t ,c is the speed of sound wave 0,6c and t is the time at recombination 375.000,which giving a distance d=225.000 ly and we know that the distance from cmb surface is 41billion ly away so we get a angle which is 0,5 degree .But if i take that the wave went spherical away from overdense point we get a diameter of 716.000 ly which is giving 1 degree angle.

i want to ask which difference in temprature we measure? 1) from the initial overdence ,which became underdense,until the region which sound wave reach?or 2) from two positions that sound wave have reached at the time of recombintaion which is separated by distance 716.000 ly ? if we take the 1) case i understand why the temprature difference is so big,but the angle is 0,5 degree not 1.In case 2) the degree is 1 but i can't see why we have temprature difference between this points.should it have zero temprature difference or not?

Sorry for my English!
 
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