The cosmic microwave background radiation and the
cosmological redshift-distance relation are together regarded as the best available evidence for the
Big Bang event. Measurements of the CMB have made the inflationary Big Bang model the
Standard Cosmological Model. The discovery of the CMB in the mid-1960s curtailed interest in
alternatives such as the
steady state theory. In the
Big Bang model for the formation of the
universe,
inflationary cosmology predicts that after about 10−37 seconds the nascent universe underwent
exponential growth that smoothed out nearly all irregularities. The remaining irregularities were caused by quantum fluctuations in the
inflaton field that caused the inflation event. Long before the formation of stars and planets, the early universe was more compact, much hotter and, starting 10−6 seconds after the Big Bang, filled with a uniform glow from its white-hot fog of interacting
plasma of
photons,
electrons, and
baryons. As the universe
expanded,
adiabatic cooling caused the energy density of the plasma to decrease until it became favorable for
electrons to combine with
protons, forming
hydrogen atoms. This
recombination event happened when the temperature was around 3000 K or when the universe was approximately 379,000 years old. As photons did not interact with these electrically neutral atoms, the former began to travel
freely through space, resulting in the
decoupling of matter and radiation. The
color temperature of the ensemble of decoupled photons has continued to diminish ever since; now down to , and at a point in time such that the photons from that distance have just reached observers. Most of the radiation energy in the universe is in the cosmic microwave background, making up a fraction of roughly of the total density of the universe. Two of the greatest successes of the Big Bang theory are its prediction of the almost perfect black body spectrum and its detailed prediction of the anisotropies in the cosmic microwave background. The CMB spectrum has become the most precisely measured black body spectrum in nature.
Predictions based on the Big Bang model In the late 1940s Alpher and Herman reasoned that if there was a Big Bang, the expansion of the universe would have stretched the high-energy radiation of the very early universe into the microwave region of the
electromagnetic spectrum, and down to a temperature of about 5 K. They were slightly off with their estimate, but they had the right idea. They predicted the CMB. It took another 15 years for Penzias and Wilson to discover that the microwave background was actually there. When this occurred some 380,000 years after the Big Bang, the temperature of the universe was about 3,000 K. This corresponds to an ambient energy of about , which is much less than the ionization energy of hydrogen. This epoch is generally known as the "time of last scattering" or the period of
recombination or
decoupling. Since decoupling, the color temperature of the background radiation has dropped by an average factor of 1,089 :
Tr = 2.725 K × (1 +
z) The high degree of uniformity throughout the
observable universe and its faint but measured anisotropy lend strong support for the Big Bang model in general and the
ΛCDM ("Lambda Cold Dark Matter") model in particular. Moreover, the fluctuations are
coherent on angular scales that are larger than the apparent
cosmological horizon at recombination. Either such coherence is acausally
fine-tuned, or
cosmic inflation occurred.
Primary anisotropy ). The data shown comes from the
WMAP (2006),
Acbar (2004)
Boomerang (2005),
CBI (2004), and
VSA (2004) instruments. Also shown is a theoretical model (solid line). The
anisotropy, or directional dependency, of the cosmic microwave background is divided into two types: primary anisotropy, due to effects that occur at the surface of last scattering and before; and secondary anisotropy, due to effects such as interactions of the background radiation with intervening hot gas or gravitational potentials, which occur between the last scattering surface and the observer. The structure of the cosmic microwave background anisotropies is principally determined by two effects: acoustic oscillations and
diffusion damping (also called collisionless damping or
Silk damping). The acoustic oscillations arise because of a conflict in the
photon–
baryon plasma in the early universe. The pressure of the photons tends to erase anisotropies, whereas the gravitational attraction of the baryons, moving at speeds much slower than light, makes them tend to collapse to form overdensities. These two effects compete to create acoustic oscillations, which give the microwave background its characteristic peak structure. The peaks correspond, roughly, to resonances in which the photons decouple when a particular mode is at its peak amplitude. The peaks contain interesting physical signatures. The angular scale of the first peak determines the
curvature of the universe (but not the
topology of the universe). The next peak—ratio of the odd peaks to the even peaks—determines the reduced baryon density. The third peak can be used to get information about the dark-matter density. The locations of the peaks give important information about the nature of the primordial density perturbations. There are two fundamental types of density perturbations called
adiabatic and
isocurvature. A general density perturbation is a mixture of both, and different theories that purport to explain the primordial density perturbation spectrum predict different mixtures. ; Adiabatic density perturbations:In an adiabatic density perturbation, the fractional additional number density of each type of particle (baryons,
photons, etc.) is the same. That is, if at one place there is a 1% higher number density of baryons than average, then at that place there is a 1% higher number density of photons (and a 1% higher number density in neutrinos) than average.
Cosmic inflation predicts that the primordial perturbations are adiabatic. ; Isocurvature density perturbations:In an isocurvature density perturbation, the sum (over different types of particle) of the fractional additional densities is zero. That is, a perturbation where at some spot there is 1% more energy in baryons than average, 1% more energy in photons than average, and 2% energy in neutrinos than average, would be a pure isocurvature perturbation. Hypothetical
cosmic strings would produce mostly isocurvature primordial perturbations. The CMB spectrum can distinguish between these two because these two types of perturbations produce different peak locations. Isocurvature density perturbations produce a series of peaks whose angular scales (
ℓ values of the peaks) are roughly in the ratio 1 : 3 : 5 : ..., while adiabatic density perturbations produce peaks whose locations are in the ratio 1 : 2 : 3 : ... Observations are consistent with the primordial density perturbations being entirely adiabatic, providing key support for inflation, and ruling out many models of structure formation involving, for example, cosmic strings. Collisionless damping is caused by two effects, when the treatment of the primordial plasma as
fluid begins to break down: • the increasing
mean free path of the photons as the primordial plasma becomes increasingly rarefied in an expanding universe, • the finite depth of the last scattering surface (LSS), which causes the mean free path to increase rapidly during decoupling, even while some Compton scattering is still occurring. These effects contribute about equally to the suppression of anisotropies at small scales and give rise to the characteristic exponential damping tail seen in the very small angular scale anisotropies. The depth of the LSS refers to the fact that the decoupling of the photons and baryons does not happen instantaneously, but instead requires an appreciable fraction of the age of the universe up to that era. One method of quantifying how long this process took uses the
photon visibility function (PVF). This function is defined so that, denoting the PVF by
P(
t), the probability that a CMB photon last scattered between time
t and is given by
P(
t)
dt. The maximum of the PVF (the time when it is most likely that a given CMB photon last scattered) is known quite precisely. The first-year
WMAP results put the time at which
P(
t) has a maximum as 372,000 years. This is often taken as the "time" at which the CMB formed. However, to figure out how it took the photons and baryons to decouple, we need a measure of the width of the PVF. The WMAP team finds that the PVF is greater than half of its maximal value (the "full width at half maximum", or FWHM) over an interval of 115,000 years. However, there are challenges to the standard Big Bang framework for explaining CMB data. In particular standard cosmology requires
fine-tuning of some free parameters, with different values supported by different experimental data. As an example of the fine-tuning issue, standard cosmology cannot predict the present temperature of the relic radiation, T_0. This value of T_0 is one of the best results of experimental cosmology and the
steady state model can predict it. However, alternative models have their own set of problems and they have only made post-facto explanations of existing observations. Nevertheless, these alternatives have played an important historic role in providing ideas for and challenges to the standard explanation. ==Polarization==