17-02 Cosmic Microwave Background Radiation and the Big Bang


  • The discovery of CMB
     

    [The antenna at Bell Lab ]


    [The 2.725 +- 0.001 K CMB spectrum]

     
  • The Big Bang hypothesis
     

    [The idea of the big bang ]

    A rough estimate of the age of the universe ~ 1/H0 = 1010 h-1 yr
     
    But, the universe probably does not expand at a constant speed...
     
  • Density of radiation and matter
    • Density of radiation
      ρr = u/c2 = 4σ T4/c3
      where σ = 5.67 x 10-5 erg/sec/cm2/K4 is the Stefan-Boltzmann constant.
      for T = 2.725 K
      ρr = 4.6 x 10-34 g/cm3
       
    • Average density of matter
      Difficult to estimate, but one can measure halo gas temperature of galaxy clusters to count mass, which includes dark matter:
      ρm = 2.4 x 10-30 g/cm3
      (The density of luminous matter is about only 10% of that.)
       
    • At present, it is a matter-dominated universe (later you will see it is actually a 'dark-energy-dominated universe'), but in earlier days it was a radiation-dominated universe.
      The transition occurred at about redshift z = 5200, when the temperature was about 2.725K x 5200 = 14000 K. It is about 24,000 years after the Big Bang.
       
    So, in the earlier high-temperature universe, matters were ionized and interacted with photons strongly. We are not able to 'see through' that eon...
     
  • The last scattering surface - Era of recombination
    At t = 380,000 years, z = 1100 (T ~ 2.725 K x 1100 = 3000 K).


    [Era of recombination, after which the universe became transparent. ]
     
  • Anisotropy of CMB


    [The dipole moment in CMB, an excess of 0.00335 K in the direction of Leo. Our solar system is moving toward Leo at 370 km/sec. ]

     
    After removing the dipole moment and the galactic foreground, at the scale of one degree or so, there are fluctuations less than 300 μK, i.e. < 10-4


    [COBE map with resolution of about 7 degrees (1992)]


    [BOOMERANG at the Antarctica]


    [A patch of sky mapped by BOOMERANG (1998)]


    [WMAP CMB map with resolution of about 0.3 degrees (2003) and Planck CMB map of 10 arcmin or so (2013); Check the LAMBDA site at NASA and also the PLANCK mission of ESA.]


    [The power spectrum of CMB anisotropy (from WMAP)]

     
  • Polarization of CMB; gravitational waves beyond the last scattering surface