Cosmic microwave background
From Wikipedia, the free encyclopedia
The
cosmic microwave background (
CMB) is the
thermal radiation assumed to be left over from the "
Big Bang" of
cosmology.
In older literature, the CMB is also variously known as cosmic
microwave background radiation (CMBR) or "relic radiation." The CMB is a
cosmic background radiation that is fundamental to
observational cosmology because it is the oldest light in the universe, dating to the
epoch of recombination. With a traditional
optical telescope, the space between stars and galaxies (the
background) is completely dark. However, a sufficiently sensitive
radio telescope
shows a faint background glow, almost exactly the same in all
directions, that is not associated with any star, galaxy, or other
object. This glow is strongest in the
microwave region of the radio spectrum. The accidental discovery of CMB in 1964 by American radio astronomers
Arno Penzias and
Robert Wilson[1][2] was the culmination of work initiated in the 1940s, and earned the discoverers the 1978
Nobel Prize.
- The CMB is a snapshot of the oldest light in our Universe,
imprinted on the sky when the Universe was just 380,000 years old. It
shows tiny temperature fluctuations that correspond to regions of
slightly different densities, representing the seeds of all future
structure: the stars and galaxies of today.[3]
The CMB is well explained as radiation left over from an early stage
in the development of the universe, and its discovery is considered a
landmark test of the
Big Bang
model of the universe.
When the universe was young, before the
formation of stars and planets, it was denser, much hotter, and filled
with a uniform glow from a white-hot fog of hydrogen
plasma.
As the universe expanded, both the plasma and the radiation filling it
grew cooler. When the universe cooled enough, protons and electrons
combined to form neutral atoms. These atoms could no longer absorb the
thermal radiation,
and so the universe became transparent instead of being an opaque fog.
Cosmologists refer to the time period when neutral atoms first formed as
the
recombination epoch,
and the event shortly afterwards when photons started to travel freely
through space rather than constantly being scattered by electrons and
protons in plasma is referred to as
photon decoupling. The
photons that existed at the time of photon decoupling have been
propagating ever since, though growing fainter and less energetic, since
the
expansion of space causes their
wavelength to increase over time (and wavelength is inversely proportional to energy according to
Planck's relation). This is the source of the alternative term
relic radiation. The
surface of last scattering
refers to the set of points in space at the right distance from us so
that we are now receiving photons originally emitted from those points
at the time of photon decoupling.
Precise measurements of the CMB are critical to cosmology, since any
proposed model of the universe must explain this radiation. The CMB has a
thermal
black body spectrum at a temperature of
2.72548±0.00057 K.
[4] The
spectral radiance dE
ν/dν peaks at 160.2 GHz, in the
microwave range of frequencies. (Alternatively if spectral radiance is defined as dE
λ/dλ
then the peak wavelength is 1.063 mm.) The glow is very nearly uniform
in all directions, but the tiny residual variations show a
very specific pattern,
the same as that expected of a fairly uniformly distributed hot gas
that has expanded to the current size of the universe. In particular,
the spectral radiance at different angles of observation in the sky
contains small
anisotropies,
or irregularities, which vary with the size of the region examined.
They have been measured in detail, and match what would be expected if
small thermal variations, generated by quantum fluctuations of matter in
a very tiny space, had expanded to the size of the observable universe
we see today. This is a very active field of study, with scientists
seeking both better data (for example, the
Planck spacecraft)
and better interpretations of the initial conditions of expansion.
Although many different processes might produce the general form of a
black body spectrum, no model other than the Big Bang has yet explained
the fluctuations. As a result, most cosmologists consider the Big Bang
model of the universe to be the best explanation for the CMB.
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 model in particular. Moreover, the
WMAP[5] and
BICEP[6] experiments have observed
coherence of these fluctuations on angular scales that are larger than the apparent
cosmological horizon at recombination. Either such coherence is acausally
fine-tuned, or
cosmic inflation occurred.
[7][8]
On 17 March 2014, astronomers from the
California Institute of Technology, the
Harvard-Smithsonian Center for Astrophysics,
Stanford University, and the
University of Minnesota announced their detection of signature patterns of polarized light in the CMB, attributed to
gravitational waves in the early universe, which if confirmed would provide strong evidence of cosmic inflation and the Big Bang.
[9][10][11][12] However, on 19 June 2014, lowered confidence in confirming the cosmic inflation findings was reported.
[13][14][15]
Features
Graph of cosmic microwave background spectrum measured by the FIRAS instrument on the
COBE, the most precisely measured
black body spectrum in nature.
[16] The
error bars
are too small to be seen even in an enlarged image, and it is
impossible to distinguish the observed data from the theoretical curve
The cosmic microwave background radiation is an emission of uniform,
black body thermal energy coming from all parts of the sky. The radiation is
isotropic to roughly one part in 100,000: the
root mean square variations are only 18 µK,
[17] after subtracting out a
dipole anisotropy from the
Doppler shift of the background radiation. The latter is caused by the
peculiar velocity of the Earth relative to the
comoving cosmic rest frame as the planet moves at some 371 km/s towards the constellation
Leo. The CMB dipole as well as
aberration at higher multipoles have been measured, consistent with galactic motion.
[18]
In the
Big Bang model for the formation of the
universe,
Inflationary Cosmology predicts that after about 10
−37 seconds
[19] the nascent universe underwent
exponential growth that smoothed out nearly all inhomogeneities. The remaining inhomogeneities were caused by quantum fluctuations in the
inflaton field that caused the inflation event.
[20] After 10
−6 seconds, the early universe was made up of a hot, 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.
[21] At this point, the photons no longer interacted with the now electrically neutral atoms and began to travel
freely through space, resulting in the
decoupling of matter and radiation.
[22]
The
color temperature of the ensemble of decoupled photons has continued to diminish ever since; now down to
2.7260 ± 0.0013 K,
[4]
it will continue to drop as the universe expands. The intensity of the
radiation also corresponds to black-body radiation at 2.726 K because
red-shifted black-body radiation is just like black-body radiation at a
lower temperature. According to the Big Bang model, the radiation from
the sky we measure today comes from a spherical surface called
the surface of last scattering. This represents the set of locations in space at which the decoupling event is estimated to have occurred
[23]
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,
[24] making up a fraction of roughly
6×10−5 of the total density of the universe.
[25]
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.
[16]
History
The cosmic microwave background was first predicted in 1948 by
Ralph Alpher, and
Robert Herman.
[38][39][40]
Alpher and Herman were able to estimate the temperature of the cosmic
microwave background to be 5 K, though two years later they re-estimated
it at 28 K. This high estimate was due to a mis-estimate of the
Hubble constant
by Alfred Behr, which could not be replicated and was later abandoned
for the earlier estimate. Although there were several previous estimates
of the temperature of space, these suffered from two flaws. First, they
were measurements of the
effective temperature of space and did not suggest that space was filled with a thermal
Planck spectrum. Next, they depend on our being at a special spot at the edge of the
Milky Way galaxy
and they did not suggest the radiation is isotropic. The estimates
would yield very different predictions if Earth happened to be located
elsewhere in the Universe.
[41]
The 1948 results of Alpher and Herman were discussed in many physics
settings through about 1955, when both left the Applied Physics
Laboratory at
Johns Hopkins University.
The mainstream astronomical community, however, was not intrigued at
the time by cosmology. Alpher and Herman's prediction was rediscovered
by
Yakov Zel'dovich in the early 1960s, and independently predicted by
Robert Dicke at the same time. The first published recognition of the CMB radiation as a detectable phenomenon appeared in a brief paper by
Soviet astrophysicists
A. G. Doroshkevich and
Igor Novikov, in the spring of 1964.
[42] In 1964,
David Todd Wilkinson and Peter Roll, Dicke's colleagues at
Princeton University, began constructing a Dicke radiometer to measure the cosmic microwave background.
[43] In 1964,
Arno Penzias and
Robert Woodrow Wilson at the
Crawford Hill location of
Bell Telephone Laboratories in nearby
Holmdel Township, New Jersey
had built a Dicke radiometer that they intended to use for radio
astronomy and satellite communication experiments. On 20 May 1964 they
made their first measurement clearly showing the presence of the
microwave background,
[44] with their instrument having an excess 4.2K
antenna temperature
which they could not account for. After receiving a telephone call from
Crawford Hill, Dicke famously quipped: "Boys, we've been scooped."
[1][45][46]
A meeting between the Princeton and Crawford Hill groups determined
that the antenna temperature was indeed due to the microwave background.
Penzias and Wilson received the 1978
Nobel Prize in Physics for their discovery.
[47]
The interpretation of the cosmic microwave background was a controversial issue in the 1960s with some proponents of the
steady state theory arguing that the microwave background was the result of
scattered starlight from distant galaxies.
[48] Using this model, and based on the study of narrow absorption line features in the spectra of stars, the astronomer
Andrew McKellar wrote in 1941: "It can be calculated that the '
rotational temperature' of interstellar space is 2 K."
[26]
However, during the 1970s the consensus was established that the cosmic
microwave background is a remnant of the big bang. This was largely
because new measurements at a range of frequencies showed that the
spectrum was a thermal,
black body spectrum, a result that the steady state model was unable to reproduce.
[49]
Harrison, Peebles, Yu and Zel'dovich realized that the early universe would have to have inhomogeneities at the level of 10
−4 or 10
−5.
[50][51][52] Rashid Sunyaev later calculated the observable imprint that these inhomogeneities would have on the cosmic microwave background.
[53]
Increasingly stringent limits on the anisotropy of the cosmic microwave
background were set by ground based experiments during the 1980s.
RELIKT-1,
a Soviet cosmic microwave background anisotropy experiment on board the
Prognoz 9 satellite (launched 1 July 1983) gave upper limits on the
large-scale anisotropy. The
NASA COBE
mission clearly confirmed the primary anisotropy with the Differential
Microwave Radiometer instrument, publishing their findings in 1992.
[54][55] The team received the
Nobel Prize in physics for 2006 for this discovery.
Inspired by the COBE results, a series of ground and balloon-based
experiments measured cosmic microwave background anisotropies on smaller
angular scales over the next decade. The primary goal of these
experiments was to measure the scale of the first acoustic peak, which
COBE did not have sufficient resolution to resolve. This peak
corresponds to large scale density variations in the early universe that
are created by gravitational instabilities, resulting in acoustical
oscillations in the plasma.
[56] The first peak in the anisotropy was tentatively detected by the
Toco experiment and the result was confirmed by the
BOOMERanG and
MAXIMA experiments.
[57][58][59] These measurements demonstrated that the
geometry of the Universe is approximately flat, rather than
curved.
[60] They ruled out
cosmic strings as a major component of cosmic structure formation and suggested
cosmic inflation was the right theory of structure formation.
[61]
The second peak was tentatively detected by several experiments before being definitively detected by
WMAP, which has also tentatively detected the third peak.
[62]
As of 2010, several experiments to improve measurements of the
polarization and the microwave background on small angular scales are
ongoing. These include DASI, WMAP, BOOMERanG,
QUaD,
Planck spacecraft,
Atacama Cosmology Telescope,
South Pole Telescope and the
QUIET telescope.
Relationship to the Big Bang
The cosmic microwave background radiation and the
cosmological redshift-distance relation are together regarded as the best available evidence for the
Big Bang theory. Measurements of the CMB have made the inflationary Big Bang theory the Standard Model of Cosmology.
[63] The discovery of the CMB in the mid-1960s curtailed interest in
alternatives such as the
steady state theory.
[64]
The CMB essentially confirms the Big Bang theory. In the late 1940s
Alpher and Herman reasoned that if there was a big bang, the expansion
of the Universe would have stretched and cooled the high-energy
radiation of the very early Universe into the microwave region and down
to a temperature of about 5 K. They were slightly off with their
estimate, but they had exactly the right idea. They predicted the CMB.
It took another 15 years for Penzias and Wilson to stumble into
discovering that the microwave background was actually there.
[65]
The CMB gives a snapshot of the
universe when, according to standard cosmology, the temperature dropped enough to allow
electrons and
protons to form
hydrogen
atoms, thus making the universe transparent to radiation. When it
originated some 380,000 years after the Big Bang—this time is generally
known as the "time of last scattering" or the period of
recombination or
decoupling—the temperature of the universe was about 3000 K. This corresponds to an energy of about 0.25
eV, which is much less than the 13.6 eV ionization energy of hydrogen.
[66]
Since decoupling, the temperature of the background radiation has dropped by a factor of roughly 1,100
[67] due to the expansion of the universe. As the universe expands, the CMB photons are
redshifted, making the radiation's temperature
inversely proportional to a parameter called the universe's
scale length. The temperature
Tr
of the CMB as a function of redshift, z, can be shown to be
proportional to the temperature of the CMB as observed in the present
day (2.725 K or 0.235 meV):
[68]
- Tr = 2.725(1 + z)
Primary anisotropy
The power spectrum of the cosmic microwave background radiation temperature anisotropy in terms of the angular scale (or
multipole moment). The data shown come from the
WMAP (2006),
Acbar (2004)
Boomerang (2005),
CBI (2004), and
VSA (2004) instruments. Also shown is a theoretical model (solid line).
The
anisotropy
of the cosmic microwave background is divided into two types: primary
anisotropy, due to effects which occur at the last scattering surface
and before; and secondary anisotropy, due to effects such as
interactions of the background radiation with 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 dense haloes. 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.
[69] The third peak can be used to get information about the dark matter density.
[70]
The locations of the peaks also 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
- the fractional additional density of each type of particle (baryons, photons
...) is the same. That is, if at one place there is 1% more energy in
baryons than average, then at that place there is also 1% more energy in
photons (and 1% more energy in neutrinos) than average. Cosmic inflation predicts that the primordial perturbations are adiabatic.
- Isocurvature density perturbations
- in each place 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% less energy in neutrinos than average, would be a pure isocurvature perturbation. 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:...
[71]
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 t+dt 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) is maximum as 372,000 years.
[72] This is often taken as the "time" at which the CMB formed. However, to figure out how
long
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 maximum value (the "full width at half maximum", or FWHM) over an
interval of 115,000 years. By this measure, decoupling took place over
roughly 115,000 years, and when it was complete, the universe was
roughly 487,000 years old.
Late time anisotropy
Since the CMB came into existence, it has apparently been modified by
several subsequent physical processes, which are collectively referred
to as late-time anisotropy, or secondary anisotropy. When the CMB
photons became free to travel unimpeded, ordinary matter in the universe
was mostly in the form of neutral hydrogen and helium atoms. However,
observations of galaxies today seem to indicate that most of the volume
of the
intergalactic medium (IGM) consists of ionized material (since there are few absorption lines due to hydrogen atoms). This implies a period of
reionization during which some of the material of the universe was broken into hydrogen ions.
The CMB photons are scattered by free charges such as electrons that
are not bound in atoms. In an ionized universe, such charged particles
have been liberated from neutral atoms by ionizing (ultraviolet)
radiation. Today these free charges are at sufficiently low density in
most of the volume of the Universe that they do not measurably affect
the CMB. However, if the IGM was ionized at very early times when the
universe was still denser, then there are two main effects on the CMB:
- Small scale anisotropies are erased. (Just as when looking at an object through fog, details of the object appear fuzzy.)
- The physics of how photons are scattered by free electrons (Thomson scattering)
induces polarization anisotropies on large angular scales. This broad
angle polarization is correlated with the broad angle temperature
perturbation.
Both of these effects have been observed by the WMAP spacecraft,
providing evidence that the universe was ionized at very early times, at
a
redshift more than 17.
[clarification needed]
The detailed provenance of this early ionizing radiation is still a
matter of scientific debate. It may have included starlight from the
very first population of stars (
population III
stars), supernovae when these first stars reached the end of their
lives, or the ionizing radiation produced by the accretion disks of
massive black holes.
The time following the emission of the cosmic microwave
background—and before the observation of the first stars—is
semi-humorously referred to by cosmologists as the
dark age, and is a period which is under intense study by astronomers (See
21 centimeter radiation).
Two other effects which occurred between reionization and our
observations of the cosmic microwave background, and which appear to
cause anisotropies, are the
Sunyaev–Zel'dovich effect, where a cloud of high-energy electrons scatters the radiation, transferring some of its energy to the CMB photons, and the
Sachs–Wolfe effect,
which causes photons from the Cosmic Microwave Background to be
gravitationally redshifted or blueshifted due to changing gravitational
fields.
Polarization
The cosmic microwave background is
polarized at the level of a few microkelvin. There are two types of polarization, called
E-modes and
B-modes. This is in analogy to
electrostatics, in which the electric field (
E-field) has a vanishing
curl and the magnetic field (
B-field) has a vanishing
divergence. The
E-modes arise naturally from
Thomson scattering in a heterogeneous plasma. The
B-modes
are not sourced by standard scalar type perturbations. Instead they can
be sourced by two mechanisms: first one is by gravitational lensing of
E-modes, which has been measured by
South Pole Telescope in 2013.
[73] Second one is from
gravitational waves arising from
cosmic inflation.
Detecting the
B-modes is extremely difficult, particularly as the degree of foreground contamination is unknown, and the
weak gravitational lensing signal mixes the relatively strong
E-mode signal with the
B-mode signal.
[74]
Microwave background observations
Subsequent to the discovery of the CMB, hundreds of cosmic microwave
background experiments have been conducted to measure and characterize
the signatures of the radiation. The most famous experiment is probably
the
NASA Cosmic Background Explorer (
COBE)
satellite that orbited in 1989–1996 and which detected and quantified
the large scale anisotropies at the limit of its detection capabilities.
Inspired by the initial COBE results of an extremely isotropic and
homogeneous background, a series of ground- and balloon-based
experiments quantified CMB anisotropies on smaller angular scales over
the next decade. The primary goal of these experiments was to measure
the angular scale of the first acoustic peak, for which COBE did not
have sufficient resolution. These measurements were able to rule out
cosmic strings as the leading theory of cosmic structure formation, and suggested
cosmic inflation was the right theory. During the 1990s, the first peak was measured with increasing sensitivity and by 2000 the
BOOMERanG experiment
reported that the highest power fluctuations occur at scales of
approximately one degree. Together with other cosmological data, these
results implied that the geometry of the Universe is
flat. A number of ground-based
interferometers provided measurements of the fluctuations with higher accuracy over the next three years, including the
Very Small Array,
Degree Angular Scale Interferometer (DASI), and the
Cosmic Background Imager
(CBI). DASI made the first detection of the polarization of the CMB and
the CBI provided the first E-mode polarization spectrum with compelling
evidence that it is out of phase with the T-mode spectrum.
In June 2001,
NASA launched a second CMB space mission,
WMAP, to make much more precise measurements of the large scale anisotropies over the full sky.
WMAP used symmetric, rapid-multi-modulated scanning, rapid switching radiometers to minimize non-sky signal noise.
[67]
The first results from this mission, disclosed in 2003, were detailed
measurements of the angular power spectrum at a scale of less than one
degree, tightly constraining various cosmological parameters. The
results are broadly consistent with those expected from
cosmic inflation
as well as various other competing theories, and are available in
detail at NASA's data bank for Cosmic Microwave Background (CMB) (see
links below). Although WMAP provided very accurate measurements of the
large scale angular fluctuations in the CMB (structures about as broad
in the sky as the moon), it did not have the angular resolution to
measure the smaller scale fluctuations which had been observed by former
ground-based
interferometers.
All-sky map
All-sky map of the
CMB, created from 9 years of
WMAP data
A third space mission, the
ESA (European Space Agency)
Planck Surveyor, was launched in May 2009 and is currently performing an even more detailed investigation. Planck employs both
HEMT radiometers and
bolometer technology and will measure the CMB at a smaller scale than WMAP. Its detectors were trialled in the Antarctic
Viper telescope as ACBAR (
Arcminute Cosmology Bolometer Array Receiver) experiment—which has produced the most precise measurements at small angular scales to date—and in the
Archeops balloon telescope.
On 21 March 2013, the European-led research team behind the
Planck cosmology probe released the mission's all-sky map (
565x318 jpeg,
3600x1800 jpeg) of the cosmic microwave background.
[75][76]
The map suggests the universe is slightly older than researchers
thought. According to the map, subtle fluctuations in temperature were
imprinted on the deep sky when the cosmos was about 370,000 years old.
The imprint reflects ripples that arose as early, in the existence of
the universe, as the first nonillionth of a second. Apparently, these
ripples gave rise to the present vast
cosmic web of
galaxy clusters and
dark matter. According to the team, the universe is
13.798 ± 0.037 billion years old,
[77] and contains 4.9%
ordinary matter, 26.8%
dark matter and 68.3%
dark energy. Also, the
Hubble constant was measured to be
67.80 ± 0.77 (km/s)/Mpc.
[75][78][79][80]
Additional ground-based instruments such as the
South Pole Telescope in Antarctica and the proposed
Clover Project,
Atacama Cosmology Telescope and the
QUIET telescope in Chile will provide additional data not available from satellite observations, possibly including the B-mode polarization.
Data reduction and analysis
Raw CMBR data from the space vehicle (i.e. WMAP) contain foreground
effects that completely obscure the fine-scale structure of the cosmic
microwave background. The fine-scale structure is superimposed on the
raw CMBR data but is too small to be seen at the scale of the raw data.
The most prominent of the foreground effects is the dipole anisotropy
caused by the Sun's motion relative to the CMBR background. The dipole
anisotropy and others due to Earth's annual motion relative to the Sun
and numerous microwave sources in the galactic plane and elsewhere must
be subtracted out to reveal the extremely tiny variations characterizing
the fine-scale structure of the CMBR background.
The detailed analysis of CMBR data to produce maps, an angular power
spectrum, and ultimately cosmological parameters is a complicated,
computationally difficult problem. Although computing a power spectrum
from a map is in principle a simple
Fourier transform, decomposing the map of the sky into
spherical harmonics,
in practice it is hard to take the effects of noise and foreground
sources into account. In particular, these foregrounds are dominated by
galactic emissions such as
Bremsstrahlung,
synchrotron, and
dust
that emit in the microwave band; in practice, the galaxy has to be
removed, resulting in a CMB map that is not a full-sky map. In addition,
point sources like galaxies and clusters represent another source of
foreground which must be removed so as not to distort the short scale
structure of the CMB power spectrum.
Constraints on many cosmological parameters can be obtained from
their effects on the power spectrum, and results are often calculated
using
Markov Chain Monte Carlo sampling techniques.
CMBR dipole anisotropy
From the CMB data it is seen that our local group of galaxies (the
galactic cluster that includes the Solar System's Milky Way Galaxy)
appears to be moving at 369±0.9 km/s relative to the reference frame of
the CMB (also called the CMB rest frame, or the frame of reference in
which there is no motion through the CMB) in the direction of galactic
longitude
l = 263.99±0.14°,
b = 48.26±0.03°.
[81][82]
This motion results in an anisotropy of the data (CMB appearing
slightly warmer in the direction of movement than in the opposite
direction).
[83]
The standard interpretation of this temperature variation is a simple
velocity red shift and blue shift due to motion relative to the CMB, but
alternative cosmological models can explain some fraction of the
observed dipole temperature distribution in the CMB.
[84]
Low multipoles and other anomalies
With the increasingly precise data provided by WMAP, there have been a
number of claims that the CMB exhibits anomalies, such as very large
scale anisotropies, anomalous alignments, and non-Gaussian
distributions.
[85][86][87][88] The most longstanding of these is the low-
l multipole controversy. Even in the COBE map, it was observed that the
quadrupole (
l
=2, spherical harmonic) has a low amplitude compared to the predictions
of the Big Bang. In particular, the quadrupole and octupole (
l =3) modes appear to have an unexplained alignment with each other and with both the
ecliptic plane and
equinoxes,
[89][90][91] an alignment sometimes referred to as the
axis of evil.
[86]
A number of groups have suggested that this could be the signature of
new physics at the greatest observable scales; other groups suspect
systematic errors in the data.
[92][93][94] Ultimately, due to the foregrounds and the
cosmic variance
problem, the greatest modes will never be as well measured as the small
angular scale modes. The analyses were performed on two maps that have
had the foregrounds removed as far as possible: the "internal linear
combination" map of the WMAP collaboration and a similar map prepared by
Max Tegmark and others.
[62][67][95] Later analyses have pointed out that these are the modes most susceptible to foreground contamination from
synchrotron, dust, and
Bremsstrahlung emission, and from experimental uncertainty in the monopole and dipole. A full
Bayesian analysis of the WMAP power spectrum demonstrates that the quadrupole prediction of
Lambda-CDM cosmology is consistent with the data at the 10% level and that the observed octupole is not remarkable.
[96]
Carefully accounting for the procedure used to remove the foregrounds
from the full sky map further reduces the significance of the alignment
by ~5%.
[97][98][99][100]
Recent observations with the
Planck telescope,
which is very much more sensitive than WMAP and has a larger angular
resolution, confirm the observation of the axis of evil. Since two
different instruments recorded the same anomaly, instrumental error (but
not foreground contamination) appears to be ruled out.
[101] Coincidence is a possible explanation, chief scientist from
WMAP,
Charles L. Bennett suggested coincidence and human psychology were involved,
"I do think there is a bit of a psychological effect; people want to find unusual things." [102]
In popular culture
- In the Stargate Universe TV series, an Ancient spaceship, Destiny,
was built to study patterns in the CMBR which indicate that the
universe as we know it might have been created by some form of sentient
intelligence.[103]
- In Wheelers, a novel by Ian Stewart & Jack Cohen,
CMBR is explained as the encrypted transmissions of an ancient
civilization. This allows the Jovian "blimps" to have a society older
than the currently-observed age of the universe.