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