Cosmic microwave background

Short description: Electromagnetic radiation as a remnant from an early stage of the universe in Big Bang cosmology

9-year Wilkinson Microwave Anisotropy Probe heat map of temperature fluctuations in the cosmic microwave background

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* Big Bang · Universe
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* Planck epoch
* Grand unification epoch
* Electroweak epoch
* Quark epoch
* Hadron epoch
* Lepton epoch
* Photon epoch
* Big Bang nucleosynthesis
* Inflation
* Dark Ages

Backgrounds

* Cosmic background radiation (CBR)
* Gravitational wave background (GWB)
* Cosmic microwave background (CMB) · Cosmic neutrino background (CNB)
* Cosmic infrared background (INB)

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* Hubble's law · Redshift
* Expansion of the universe
* Accelerating expansion of the universe
* Comoving and proper distances
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* Inhomogeneous cosmology
* Future of an expanding universe
* Ultimate fate of the universe
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* Big Rip
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Components · Structure

|  Components

* Lambda-CDM model
* Baryonic matter
* Energy
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* Dark energy
* Quintessence
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* Hot dark matter
* Dark radiation

Structure

* Shape of the universe
* Reionization · Structure formation
* Galaxy formation
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* Large quasar group
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* Galaxy cluster
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* Galaxy
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Experiments

* BOOMERanG
* Cosmic Background Explorer (COBE)
* Dark Energy Survey
* Euclid
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* Planck space observatory
* Sloan Digital Sky Survey (SDSS)
* 2dF Galaxy Redshift Survey ("2dF")
* UniverseMachine
* Wilkinson Microwave Anisotropy
Probe (WMAP)

* Scientists

* Aaronson
* Alfvén
* Alpher
* Bharadwaj
* Copernicus
* de Sitter
* Dicke
* Eddington
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* Einstein
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* Schmidt
* Schwarzschild
* Smoot
* Starobinsky
* Steinhardt
* Suntzeff
* Sunyaev
* Tolman
* Wilson
* Zeldovich

Subject history

* Discovery of cosmic microwave
background radiation

* History of the Big Bang theory
* Religious interpretations of
the Big Bang theory

* Timeline of cosmological theories

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The cosmic microwave background (CMB, CMBR) is microwave radiation that fills all space in the observable universe. It is a remnant that provides an important source of data on the primordial universe.[1] With a standard optical telescope, the background space between stars and galaxies is almost completely dark. However, a sufficiently sensitive radio telescope detects a faint background glow that is almost uniform and 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 the CMB in 1965 by American radio astronomers Arno Penzias and Robert Wilson was the culmination of work initiated in the 1940s.[2][3]

CMB is landmark evidence of the Big Bang theory for the origin of the universe. In the Big Bang cosmological models, during the earliest periods, the universe was filled with an opaque fog of dense, hot plasma of sub-atomic particles. As the universe expanded, this plasma cooled to the point where protons and electrons combined to form neutral atoms of mostly hydrogen. Unlike the plasma, these atoms could not scatter thermal radiation by Thomson scattering, and so the universe became transparent.[4] Known as the recombination epoch, this decoupling event released photons to travel freely through space – sometimes referred to as relic radiation.[1] However, the photons have grown less energetic, since the expansion of space causes their wavelength to increase. The surface of last scattering refers to a shell at the right distance in space so photons are now received that were originally emitted at the time of decoupling.

The CMB is not completely smooth and uniform, showing a faint anisotropy that can be mapped by sensitive detectors. Ground and space-based experiments such as COBE and WMAP have been used to measure these temperature inhomogeneties. The anisotropy structure is determined by various interactions of matter and photons up to the point of decoupling, which results in a characteristic lumpy pattern that varies with angular scale. The distribution of the anisotropy across the sky has frequency components that can be represented by a power spectrum displaying a sequence of peaks and valleys. The peak values of this spectrum hold important information about the physical properties of the early universe: the first peak determines the overall curvature of the universe, while the second and third peak detail the density of normal matter and so-called dark matter, respectively. Extracting fine details from the CMB data can be challenging, since the emission has undergone modification by foreground features such as galaxy clusters.

## Contents

* 1 Importance of precise measurement
* 2 Features
* 3 History
* 4 Relationship to the Big Bang
* 4.1 Primary anisotropy
* 4.2 Late time anisotropy
* 5 Polarization
* 5.1 E-modes
* 5.2 B-modes
* 5.2.1 Primordial gravitational waves
* 5.2.2 Gravitational lensing
* 6 Microwave background observations
* 7 Data reduction and analysis
* 7.1 CMBR monopole term (ℓ = 0)
* 7.2 CMBR dipole anisotropy (ℓ = 1)
* 7.3 Multipole (ℓ ≥ 2)
* 7.4 Other anomalies
* 8 Future evolution
* 9 Timeline of prediction, discovery and interpretation
* 9.1 Thermal (non-microwave background) temperature predictions
* 9.2 Microwave background radiation predictions and measurements
* 10 In popular culture
* 11 See also
* 12 References
* 13 Further reading
* 14 External links

## Importance of precise measurement

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.[5] The spectral radiance dEν/dν peaks at 160.23 GHz, in the microwave range of frequencies, corresponding to a photon energy of about 6.626×10−4 eV. Alternatively, if spectral radiance is defined as dEλ/dλ, then the peak wavelength is 1.063 mm (282 GHz, 1.168×10−3 eV photons). 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 ("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.[6][7]

Other than the temperature and polarization anisotropy, the CMB frequency spectrum is expected to feature tiny departures from the black-body law known as spectral distortions. These are also at the focus of an active research effort with the hope of a first measurement within the forthcoming decades, as they contain a wealth of information about the primordial universe and the formation of structures at late time.[8]

## Features

Graph of cosmic microwave background spectrum measured by the FIRAS instrument on the COBE, the most precisely measured black body spectrum in nature.[9] 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,[10] after subtracting out a dipole anisotropy from the Doppler shift of the background radiation. The latter is caused by the peculiar velocity of the Sun relative to the comoving cosmic rest frame as it moves at 369.82 ± 0.11 km/s towards the constellation Leo (galactic longitude 264.021 ± 0.011, galactic latitude 48.253 ± 0.005).[11] The CMB dipole and aberration at higher multipoles have been measured, consistent with galactic motion.[12]

In the Big Bang model for the formation of the universe, inflationary cosmology predicts that after about 10−37 seconds[13] the nascent universe underwent exponential growth that smoothed out nearly all irregularities. The remaining irregularities were caused by quantum fluctuations in the inflation field that caused the inflation event.[14] Long before the formation of stars and planets, the early universe was smaller, 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.[15] 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.[16]

The color temperature of the ensemble of decoupled photons has continued to diminish ever since; now down to 2.7260±0.0013 K,[5] it will continue to drop as the universe expands. The intensity of the radiation 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[17] 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,[18] making up a fraction of roughly 6×10−5 of the total density of the universe.[19]

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.[9]

The energy density of the CMB is 0.260 eV/cm3 (4.17×10−14 J/m3) which yields about 411 photons/cm3.[20]

## History

The cosmic microwave background was first predicted in 1948 by Ralph Alpher and Robert Herman, in close relation to work performed by Alpher's PhD advisor George Gamow.[21][22][23][24] 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 misestimate 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 estimates had 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.[25]

The Holmdel Horn Antenna on which Penzias and Wilson discovered the cosmic microwave background. The antenna was constructed in 1959 to support Project Echo—the National Aeronautics and Space Administration's passive communications satellites, which used large earth orbiting aluminized plastic balloons as reflectors to bounce radio signals from one point on the Earth to another.

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.[26] 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.[27] 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,[28] 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 said "Boys, we've been scooped."[2][29][30] 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.[31]

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.[32] 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."[33] 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.[34]

Harrison, Peebles, Yu and Zel'dovich realized that the early universe would require inhomogeneities at the level of 10−4 or 10−5.[35][36][37] Rashid Sunyaev later calculated the observable imprint that these inhomogeneities would have on the cosmic microwave background.[38] 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.[39][40] 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.[41] The first peak in the anisotropy was tentatively detected by the Toco experiment and the result was confirmed by the BOOMERanG and MAXIMA experiments.[42][43][44] These measurements demonstrated that the geometry of the universe is approximately flat, rather than curved.[45] They ruled out cosmic strings as a major component of cosmic structure formation and suggested cosmic inflation was the right theory of structure formation.[46]

The second peak was tentatively detected by several experiments before being definitively detected by WMAP, which has tentatively detected the third peak.[47] As of 2010, several experiments to improve measurements of the polarization and the microwave background on small angular scales are ongoing.[needs update] 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 event. Measurements of the CMB have made the inflationary Big Bang model the Standard Cosmological Model.[48] The discovery of the CMB in the mid-1960s curtailed interest in alternatives such as the steady state theory.[49]

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.[50]

According to standard cosmology, the CMB gives a snapshot of the hot early universe at the point in time when the temperature dropped enough to allow electrons and protons to form hydrogen atoms. This event made the universe nearly transparent to radiation because light was no longer being scattered off free electrons. 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 0.26 eV, which is much less than the 13.6 eV ionization energy of hydrogen.[51] This epoch is generally known as the "time of last scattering" or the period of recombination or decoupling.[52]

Since decoupling, the color temperature of the background radiation has dropped by an average factor of 1,089[53] due to the expansion of the universe. As the universe expands, the CMB photons are redshifted, causing them to decrease in energy. The color temperature of this radiation stays inversely proportional to a parameter that describes the relative expansion of the universe over time, known as the scale length. The color temperature Tr of the CMB as a function of redshift, z, can be shown to be proportional to the color temperature of the CMB as observed in the present day (2.725 K or 0.2348 meV):[54]

Tr = 2.725 K × (1 + z)

For details about the reasoning that the radiation is evidence for the Big Bang, see Cosmic background radiation of the Big Bang.

### 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 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.[55] The third peak can be used to get information about the dark-matter density.[56]

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% less 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 : ...[57] 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) has a maximum as 372,000 years.[58] 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 maximal 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.[citation needed]

### 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:

1. Small scale anisotropies are erased. (Just as when looking at an object through fog, details of the object appear fuzzy.)
2. 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–Zeldovich 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

This artist's impression shows how light from the early universe is deflected by the gravitational lensing effect of massive cosmic structures forming B-modes as it travels across the universe.

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 produced by standard scalar type perturbations. Instead they can be created by two mechanisms: the first one is by gravitational lensing of E-modes, which has been measured by the South Pole Telescope in 2013;[59] the 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.[60]

### E-modes

E-modes were first seen in 2002 by the Degree Angular Scale Interferometer (DASI).

### B-modes

Cosmologists predict two types of B-modes, the first generated during cosmic inflation shortly after the big bang,[61][62][63] and the second generated by gravitational lensing at later times.[64]

#### Primordial gravitational waves

Primordial gravitational waves are gravitational waves that could be observed in the polarisation of the cosmic microwave background and having their origin in the early universe. Models of cosmic inflation predict that such gravitational waves should appear; thus, their detection supports the theory of inflation, and their strength can confirm and exclude different models of inflation. It is the result of three things: inflationary expansion of space itself, reheating after inflation, and turbulent fluid mixing of matter and radiation. [65]

On 17 March 2014, it was announced that the BICEP2 instrument had detected the first type of B-modes, consistent with inflation and gravitational waves in the early universe at the level of r = 0.20+0.07
−0.05, which is the amount of power present in gravitational waves compared to the amount of power present in other scalar density perturbations in the very early universe. Had this been confirmed it would have provided strong evidence for cosmic inflation and the Big Bang[66][67][68][69][70][71][72] and against the ekpyrotic model of Paul Steinhardt and Neil Turok.[73] However, on 19 June 2014, considerably lowered confidence in confirming the findings was reported[71][74][75] and on 19 September 2014, new results of the Planck experiment reported that the results of BICEP2 can be fully attributed to cosmic dust.[76][77]

#### Gravitational lensing

The second type of B-modes was discovered in 2013 using the South Pole Telescope with help from the Herschel Space Observatory.[78] In October 2014, a measurement of the B-mode polarization at 150 GHz was published by the POLARBEAR experiment.[79] Compared to BICEP2, POLARBEAR focuses on a smaller patch of the sky and is less susceptible to dust effects. The team reported that POLARBEAR's measured B-mode polarization was of cosmological origin (and not just due to dust) at a 97.2% confidence level.[80]

## Microwave background observations

Main page: Astronomy:List of cosmic microwave background experiments

Comparison of CMB results from COBE, WMAP and Planck
(March 21, 2013)

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.[53] 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.

A third space mission, the ESA (European Space Agency) Planck Surveyor, was launched in May 2009 and performed an even more detailed investigation until it was shut down in October 2013. Planck employed both HEMT radiometers and bolometer technology and measured 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.[81][82] The map suggests the universe is slightly older than researchers expected. According to the map, subtle fluctuations in temperature were imprinted on the deep sky when the cosmos was about 370000 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. Based on the 2013 data, the universe contains 4.9% ordinary matter, 26.8% dark matter and 68.3% dark energy. On 5 February 2015, new data was released by the Planck mission, according to which the age of the universe is 13.799±0.021 billion years old and the Hubble constant was measured to be 67.74±0.46 (km/s)/Mpc.[83]

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, even from space vehicles such as WMAP or Planck, 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,[84] [math]\displaystyle{ T(\theta,\varphi) = \sum_{\ell m} a_{\ell m} Y_{\ell m}(\theta,\varphi) }[/math] where the [math]\displaystyle{ a_{\ell m} }[/math] term measures the mean temperature and [math]\displaystyle{ Y(\theta,\varphi) }[/math] term accounts for the fluctuation, where the [math]\displaystyle{ Y_{\ell m}(\theta,\varphi) }[/math] refers to a spherical harmonic, and ℓ is the multipole number while m is the azimuthal number.

By applying the angular correlation function, the sum can be reduced to an expression that only involves ℓ and power spectrum term [math]\displaystyle{ C\equiv \langle |a_{\ell m}|^2 \rangle. }[/math] The angled brackets indicate the average with respect to all observers in the universe; since the universe is homogeneous and isotropic, therefore there is an absence of preferred observing direction. Thus, C is independent of m. Different choices of ℓ correspond to multipole moments of CMB.

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 monopole term (ℓ = 0)

When ℓ = 0, the [math]\displaystyle{ Y(\theta,\varphi) }[/math] term reduced to 1, and what we have left here is just the mean temperature of the CMB. This "mean" is called CMB monopole, and it is observed to have an average temperature of about Tγ = 2.7255±0.0006 K[84] with one standard deviation confidence. The accuracy of this mean temperature may be impaired by the diverse measurements done by different mapping measurements. Such measurements demand absolute temperature devices, such as the FIRAS instrument on the COBE satellite. The measured kTγ is equivalent to 0.234 meV or 4.6×10−10 mec2. The photon number density of a blackbody having such temperature is [math]\displaystyle{ n_\gamma = \frac{2 \zeta(3) }{ \pi^2} T_\gamma^3 \approx \mathrm{411\,cm^{-3}} }[/math]. Its energy density is [math]\displaystyle{ \rho_\gamma = \frac{\pi^2}{15}T_\gamma^4 \approx \mathrm{4.64 \times 10^{-34}\,g{\cdot}cm^{-3}} \approx \mathrm{0.260\,eV{\cdot}cm^{-3}} }[/math], and the ratio to the critical density is Ωγ = 5.38 × 10−5.[84]

### CMBR dipole anisotropy (ℓ = 1)

CMB dipole represents the largest anisotropy, which is in the first spherical harmonic (ℓ = 1). When ℓ = 1, the [math]\displaystyle{ Y(\theta,\varphi) }[/math] term reduces to one cosine function and thus encodes amplitude fluctuation. The amplitude of CMB dipole is around 3.3621±0.0010 mK.[84] Since the universe is presumed to be homogeneous and isotropic, an observer should see the blackbody spectrum with temperature T at every point in the sky. The spectrum of the dipole has been confirmed to be the differential of a blackbody spectrum.

CMB dipole is frame-dependent. The CMB dipole moment could also be interpreted as the peculiar motion of the Earth toward the CMB. Its amplitude depends on the time due to the Earth's orbit about the barycenter of the solar system. This enables us to add a time-dependent term to the dipole expression. The modulation of this term is 1 year,[84][85] which fits the observation done by COBE FIRAS.[85][86] The dipole moment does not encode any primordial information.

From the CMB data, it is seen that the Sun appears to be moving at 368±2 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). The Local Group — the galaxy group that includes our own Milky Way galaxy — appears to be moving at 627±22 km/s in the direction of galactic longitude ℓ = 276°±3°, b = 30°±3°.[84][12] This motion results in an anisotropy of the data (CMB appearing slightly warmer in the direction of movement than in the opposite direction).[84] The standard interpretation of this temperature variation is a simple velocity redshift and blueshift due to motion relative to the CMB, but alternative cosmological models can explain some fraction of the observed dipole temperature distribution in the CMB.

A 2021 study of Wide-field Infrared Survey Explorer questions the kinematic interpretation of CMB anisotropy with high statistical confidence.[87]

### Multipole (ℓ ≥ 2)

The temperature variation in the CMB temperature maps at higher multipoles, or ℓ ≥ 2, is considered to be the result of perturbations of the density in the early Universe, before the recombination epoch. Before recombination, the Universe consisted of a hot, dense plasma of electrons and baryons. In such a hot dense environment, electrons and protons could not form any neutral atoms. The baryons in such early Universe remained highly ionized and so were tightly coupled with photons through the effect of Thompson scattering. These phenomena caused the pressure and gravitational effects to act against each other, and triggered fluctuations in the photon-baryon plasma. Quickly after the recombination epoch, the rapid expansion of the universe caused the plasma to cool down and these fluctuations are "frozen into" the CMB maps we observe today. The said procedure happened at a redshift of around z ⋍ 1100.[84]

### 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.[88][89][90] 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.[91][92][93] 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.[94][95][96]

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.[47][53][97] 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.[98] Carefully accounting for the procedure used to remove the foregrounds from the full sky map further reduces the significance of the alignment by ~5%.[99][100][101][102] Recent observations with the Planck telescope, which is very much more sensitive than WMAP and has a larger angular resolution, record the same anomaly, and so instrumental error (but not foreground contamination) appears to be ruled out.[103] 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."[104]

## Future evolution

Assuming the universe keeps expanding and it does not suffer a Big Crunch, a Big Rip, or another similar fate, the cosmic microwave background will continue redshifting until it will no longer be detectable,[105] and will be superseded first by the one produced by starlight, and perhaps, later by the background radiation fields of processes that may take place in the far future of the universe such as proton decay, evaporation of black holes, and positronium decay.[106]

## Timeline of prediction, discovery and interpretation

### Thermal (non-microwave background) temperature predictions

* 1896 – Charles Édouard Guillaume estimates the "radiation of the stars" to be 5–6 K.[107]
* 1926 – Sir Arthur Eddington estimates the non-thermal radiation of starlight in the galaxy "... by the formula E = σT4 the effective temperature corresponding to this density is 3.18° absolute ... black body".[108]
* 1930s – Cosmologist Erich Regener calculates that the non-thermal spectrum of cosmic rays in the galaxy has an effective temperature of 2.8 K.
* 1931 – Term microwave first used in print: "When trials with wavelengths as low as 18 cm. were made known, there was undisguised surprise+that the problem of the micro-wave had been solved so soon." Telegraph & Telephone Journal XVII. 179/1
* 1934 – Richard Tolman shows that black-body radiation in an expanding universe cools but remains thermal.
* 1938 – Nobel Prize winner (1920) Walther Nernst reestimates the cosmic ray temperature as 0.75 K.
* 1946 – Robert Dicke predicts "... radiation from cosmic matter" at < 20 K, but did not refer to background radiation.[109]
* 1946 – George Gamow calculates a temperature of 50 K (assuming a 3-billion year old universe),[110] commenting it "... is in reasonable agreement with the actual temperature of interstellar space", but does not mention background radiation.[111]
* 1953 – Erwin Finlay-Freundlich in support of his tired light theory, derives a blackbody temperature for intergalactic space of 2.3 K[112] with comment from Max Born suggesting radio astronomy as the arbitrator between expanding and infinite cosmologies.

### Microwave background radiation predictions and measurements

* 1941 – Andrew McKellar detected the cosmic microwave background as the coldest component of the interstellar medium by using the excitation of CN doublet lines measured by W. S. Adams in a B star, finding an "effective temperature of space" (the average bolometric temperature) of 2.3 K.[33][113]
* 1946 – George Gamow calculates a temperature of 50 K (assuming a 3-billion year old universe),[110] commenting it "... is in reasonable agreement with the actual temperature of interstellar space", but does not mention background radiation.
* 1948 – Ralph Alpher and Robert Herman estimate "the temperature in the universe" at 5 K. Although they do not specifically mention microwave background radiation, it may be inferred.[114]
* 1949 – Ralph Alpher and Robert Herman re-re-estimate the temperature at 28 K.
* 1953 – George Gamow estimates 7 K.[109]
* 1956 – George Gamow estimates 6 K.[109]
* 1955 – Émile Le Roux of the Nançay Radio Observatory, in a sky survey at λ = 33 cm, reported a near-isotropic background radiation of 3 kelvins, plus or minus 2.[109]
* 1957 – Tigran Shmaonov reports that "the absolute effective temperature of the radioemission background ... is 4±3 K".[115] It is noted that the "measurements showed that radiation intensity was independent of either time or direction of observation ... it is now clear that Shmaonov did observe the cosmic microwave background at a wavelength of 3.2 cm"[116][117]
* 1960s – Robert Dicke re-estimates a microwave background radiation temperature of 40 K[109][118]
* 1964 – A. G. Doroshkevich and Igor Dmitrievich Novikov publish a brief paper suggesting microwave searches for the black-body radiation predicted by Gamow, Alpher, and Herman, where they name the CMB radiation phenomenon as detectable.[119]
* 1964–65 – Arno Penzias and Robert Woodrow Wilson measure the temperature to be approximately 3 K. Robert Dicke, James Peebles, P. G. Roll, and D. T. Wilkinson interpret this radiation as a signature of the Big Bang.
* 1966 – Rainer K. Sachs and Arthur M. Wolfe theoretically predict microwave background fluctuation amplitudes created by gravitational potential variations between observers and the last scattering surface (see Sachs–Wolfe effect).
* 1968 – Martin Rees and Dennis Sciama theoretically predict microwave background fluctuation amplitudes created by photons traversing time-dependent wells of potential.
* 1969 – R. A. Sunyaev and Yakov Zel'dovich study the inverse Compton scattering of microwave background photons by hot electrons (see Sunyaev–Zel'dovich effect).
* 1983 – Researchers from the Cambridge Radio Astronomy Group and the Owens Valley Radio Observatory first detect the Sunyaev–Zel'dovich effect from clusters of galaxies.
* 1983 – RELIKT-1 Soviet CMB anisotropy experiment was launched.
* 1990 – FIRAS on the Cosmic Background Explorer (COBE) satellite measures the black body form of the CMB spectrum with exquisite precision, and shows that the microwave background has a nearly perfect black-body spectrum and thereby strongly constrains the density of the intergalactic medium.
* January 1992 – Scientists that analysed data from the RELIKT-1 report the discovery of anisotropy in the cosmic microwave background at the Moscow astrophysical seminar.[120]
* 1992 – Scientists that analysed data from COBE DMR report the discovery of anisotropy in the cosmic microwave background.[121]
* 1995 – The Cosmic Anisotropy Telescope performs the first high resolution observations of the cosmic microwave background.
* 1999 – First measurements of acoustic oscillations in the CMB anisotropy angular power spectrum from the TOCO, BOOMERANG, and Maxima Experiments. The BOOMERanG experiment makes higher quality maps at intermediate resolution, and confirms that the universe is "flat".
* 2002 – Polarization discovered by DASI.[122]
* 2003 – E-mode polarization spectrum obtained by the CBI.[123] The CBI and the Very Small Array produces yet higher quality maps at high resolution (covering small areas of the sky).
* 2003 – The Wilkinson Microwave Anisotropy Probe spacecraft produces an even higher quality map at low and intermediate resolution of the whole sky (WMAP provides no high-resolution data, but improves on the intermediate resolution maps from BOOMERanG).
* 2004 – E-mode polarization spectrum obtained by the CBI.[124]
* 2004 – The Arcminute Cosmology Bolometer Array Receiver produces a higher quality map of the high resolution structure not mapped by WMAP.
* 2005 – The Arcminute Microkelvin Imager and the Sunyaev–Zel'dovich Array begin the first surveys for very high redshift clusters of galaxies using the Sunyaev–Zel'dovich effect.
* 2005 – Ralph A. Alpher is awarded the National Medal of Science for his groundbreaking work in nucleosynthesis and prediction that the universe expansion leaves behind background radiation, thus providing a model for the Big Bang theory.
* 2006 – The long-awaited three-year WMAP results are released, confirming previous analysis, correcting several points, and including polarization data.
* 2006 – Two of COBE's principal investigators, George Smoot and John Mather, received the Nobel Prize in Physics in 2006 for their work on precision measurement of the CMBR.
* 2006–2011 – Improved measurements from WMAP, new supernova surveys ESSENCE and SNLS, and baryon acoustic oscillations from SDSS and WiggleZ, continue to be consistent with the standard Lambda-CDM model.
* 2010 – The first all-sky map from the Planck telescope is released.
* 2013 – An improved all-sky map from the Planck telescope is released, improving the measurements of WMAP and extending them to much smaller scales.
* 2014 – On March 17, 2014, astrophysicists of the BICEP2 collaboration announced the detection of inflationary gravitational waves in the B-mode power spectrum, which if confirmed, would provide clear experimental evidence for the theory of inflation.[66][67][68][69][71][125] However, on 19 June 2014, lowered confidence in confirming the cosmic inflation findings was reported.[71][74][75]
* 2015 – On January 30, 2015, the same team of astronomers from BICEP2 withdrew the claim made on the previous year. Based on the combined data of BICEP2 and Planck, the European Space Agency announced that the signal can be entirely attributed to dust in the Milky Way.[126]
* 2018 – The final data and maps from the Planck telescope is released, with improved measurements of the polarization on large scales.[127]
* 2019 – Planck telescope analyses of their final 2018 data continue to be released.[128]

## In popular culture

* In the Stargate Universe TV series (2009–2011), an ancient spaceship, Destiny, was built to study patterns in the CMBR which is a sentient message left over from the beginning of time.[129]
* In Wheelers, a novel (2000) 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.[citation needed]
* In The Three-Body Problem, a 2008 novel by Liu Cixin, a probe from an alien civilization compromises instruments monitoring the CMBR in order to deceive a character into believing the civilization has the power to manipulate the CMBR itself.[130]
* The 2017 issue of the Swiss 20 francs bill lists several astronomical objects with their distances – the CMB is mentioned with 430 · 1015 light-seconds.[131]
* In the 2021 Marvel series WandaVision, a mysterious television broadcast is discovered within the Cosmic Microwave Background.[132]

## See also

* List of cosmological computation software
* Cosmic neutrino background
* Cosmic microwave background spectral distortions
* Cosmological perturbation theory
* Axis of evil (cosmology)
* Gravitational wave background
* Heat death of the universe
* Horizons: Exploring the Universe
* Lambda-CDM model
* Observational cosmology
* Observation history of galaxies
* Physical cosmology
* Timeline of cosmological theories

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50. ↑ Assis, A. K. T.; Paulo, São; Neves, M. C. D. (July 1995). "History of the 2.7 K Temperature Prior to Penzias and Wilson". Apeiron 2 (3): 79–87. http://redshift.vif.com/JournalFiles/Pre2001/V02NO3PDF/V02N3ASS.PDF.
51. ↑ Fixsen, D. J. (1995). "Formation of Structure in the Universe". arXiv:astro-ph/9508159.
52. ↑ "Converted number: Conversion from K to eV". https://physics.nist.gov/cgi-bin/cuu/Convert?exp=3&num=3&From=k&To=ev&Action=Convert+value+and+show+factor.
53. ↑ 53.0 53.1 53.2 Bennett, C. L. et al. (2003). "First-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: preliminary maps and basic results". Astrophysical Journal Supplement Series 148 (1): 1–27. doi:10.1086/377253. Bibcode: 2003ApJS..148....1B. This paper warns that "the statistics of this internal linear combination map are complex and inappropriate for most CMB analyses."
54. ↑ Noterdaeme, P.; Petitjean, P.; Srianand, R.; Ledoux, C.; López, S. (February 2011). "The evolution of the cosmic microwave background temperature. Measurements of TCMB at high redshift from carbon monoxide excitation". Astronomy and Astrophysics 526: L7. doi:10.1051/0004-6361/201016140. Bibcode: 2011A&A...526L...7N.
55. ↑ Wayne Hu. "Baryons and Inertia". http://background.uchicago.edu/~whu/intermediate/baryons.html.
56. ↑ Wayne Hu. "Radiation Driving Force". http://background.uchicago.edu/~whu/intermediate/driving.html.
57. ↑ Hu, W.; White, M. (1996). "Acoustic Signatures in the Cosmic Microwave Background". Astrophysical Journal 471: 30–51. doi:10.1086/177951. Bibcode: 1996ApJ...471...30H.
58. ↑ WMAP Collaboration; Verde, L.; Peiris, H. V.; Komatsu, E.; Nolta, M. R.; Bennett, C. L.; Halpern, M.; Hinshaw, G. et al. (2003). "First-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters". Astrophysical Journal Supplement Series 148 (1): 175–194. doi:10.1086/377226. Bibcode: 2003ApJS..148..175S.
59. ↑ Hanson, D. (2013). "Detection of B-mode polarization in the Cosmic Microwave Background with data from the South Pole Telescope". Physical Review Letters 111 (14): 141301. doi:10.1103/PhysRevLett.111.141301. PMID 24138230. Bibcode: 2013PhRvL.111n1301H. http://www.nature.com/news/polarization-detected-in-big-bang-s-echo-1.13441.
60. ↑ Lewis, A.; Challinor, A. (2006). "Weak gravitational lensing of the CMB". Physics Reports 429 (1): 1–65. doi:10.1016/j.physrep.2006.03.002. Bibcode: 2006PhR...429....1L.
61. ↑ Seljak, U. (June 1997). "Measuring Polarization in the Cosmic Microwave Background". Astrophysical Journal 482 (1): 6–16. doi:10.1086/304123. Bibcode: 1997ApJ...482....6S.
62. ↑ Seljak, U.; Zaldarriaga M. (March 17, 1997). "Signature of Gravity Waves in the Polarization of the Microwave Background". Phys. Rev. Lett. 78 (11): 2054–2057. doi:10.1103/PhysRevLett.78.2054. Bibcode: 1997PhRvL..78.2054S.
63. ↑ Kamionkowski, M.; Kosowsky A.; Stebbins A. (1997). "A Probe of Primordial Gravity Waves and Vorticity". Phys. Rev. Lett. 78 (11): 2058–2061. doi:10.1103/PhysRevLett.78.2058. Bibcode: 1997PhRvL..78.2058K.
64. ↑ Zaldarriaga, M.; Seljak U. (July 15, 1998). "Gravitational lensing effect on cosmic microwave background polarization". Physical Review D. 2 58 (2): 023003. doi:10.1103/PhysRevD.58.023003. Bibcode: 1998PhRvD..58b3003Z.
65. ↑ "Scientists Report Evidence for Gravitational Waves in Early Universe". 2014-03-17. http://www.insidescience.org/content/scientists-report-evidence-gravitational-waves-early-universe/1589.
66. ↑ 66.0 66.1 Staff (17 March 2014). "BICEP2 2014 Results Release". http://bicepkeck.org.
67. ↑ 67.0 67.1 Clavin, Whitney (March 17, 2014). "NASA Technology Views Birth of the Universe". http://www.jpl.nasa.gov/news/news.php?release=2014-082.
68. ↑ 68.0 68.1 Overbye, Dennis (March 17, 2014). "Space Ripples Reveal Big Bang's Smoking Gun". The New York Times. https://www.nytimes.com/2014/03/18/science/space/detection-of-waves-in-space-buttresses-landmark-theory-of-big-bang.html.
69. ↑ 69.0 69.1 Overbye, Dennis (March 24, 2014). "Ripples From the Big Bang". The New York Times. https://www.nytimes.com/2014/03/25/science/space/ripples-from-the-big-bang.html.
70. ↑ "Gravitational waves: have US scientists heard echoes of the big bang?". The Guardian. 2014-03-14. https://www.theguardian.com/science/2014/mar/14/gravitational-waves-big-bang-universe-bicep.
71. ↑ 71.0 71.1 71.2 71.3 Ade, P.A.R. (BICEP2 Collaboration) (2014). "Detection of B-Mode Polarization at Degree Angular Scales by BICEP2". Physical Review Letters 112 (24): 241101. doi:10.1103/PhysRevLett.112.241101. PMID 24996078. Bibcode: 2014PhRvL.112x1101B.
72. ↑ Overbye, Dennis (March 17, 2014). "Space Ripples Reveal Big Bang's Smoking Gun". The New York Times. https://www.nytimes.com/2014/03/18/science/space/detection-of-waves-in-space-buttresses-landmark-theory-of-big-bang.html.
73. ↑ Steinhardt, Paul J. (2007). Endless universe : beyond the Big Bang. Weidenfeld & Nicolson. ISBN 978-0-297-84554-6. OCLC 271843490. http://worldcat.org/oclc/271843490.
74. ↑ 74.0 74.1 Overbye, Dennis (June 19, 2014). "Astronomers Hedge on Big Bang Detection Claim". The New York Times. https://www.nytimes.com/2014/06/20/science/space/scientists-debate-gravity-wave-detection-claim.html.
75. ↑ 75.0 75.1 Amos, Jonathan (June 19, 2014). "Cosmic inflation: Confidence lowered for Big Bang signal". BBC News. https://www.bbc.com/news/science-environment-27935479.
76. ↑ Planck Collaboration Team (9 February 2016). "Planck intermediate results. XXX. The angular power spectrum of polarized dust emission at intermediate and high Galactic latitudes". Astronomy & Astrophysics 586 (133): A133. doi:10.1051/0004-6361/201425034. Bibcode: 2016A&A...586A.133P.
77. ↑ Overbye, Dennis (22 September 2014). "Study Confirms Criticism of Big Bang Finding". The New York Times. https://www.nytimes.com/2014/09/23/science/space/study-confirms-criticism-of-big-bang-finding.html.
78. ↑ Samuel Reich, Eugenie (2013). "Polarization detected in Big Bang's echo". Nature. doi:10.1038/nature.2013.13441. http://www.nature.com/news/polarization-detected-in-big-bang-s-echo-1.13441.
79. ↑ The Polarbear Collaboration (2014). "A Measurement of the Cosmic Microwave Background B-Mode Polarization Power Spectrum at Sub-Degree Scales with POLARBEAR". The Astrophysical Journal 794 (2): 171. doi:10.1088/0004-637X/794/2/171. Bibcode: 2014ApJ...794..171P.
80. ↑ "POLARBEAR project offers clues about origin of universe's cosmic growth spurt". Christian Science Monitor. October 21, 2014. http://www.csmonitor.com/Science/2014/1021/POLARBEAR-project-offers-clues-about-origin-of-universe-s-cosmic-growth-spurt.
81. ↑ Clavin, Whitney; Harrington, J.D. (21 March 2013). "Planck Mission Brings Universe Into Sharp Focus". http://www.jpl.nasa.gov/news/news.php?release=2013-109&rn=news.xml&rst=3739.
82. ↑ Staff (21 March 2013). "Mapping the Early Universe". https://www.nytimes.com/interactive/2013/03/21/science/space/0321-universe.html.
83. ↑ Planck Collaboration (2016). "Planck 2015 results. XIII. Cosmological parameters (See Table 4 on page 31 of pfd)". Astronomy & Astrophysics 594 (13): A13. doi:10.1051/0004-6361/201525830. Bibcode: 2016A&A...594A..13P.
84. ↑ 84.0 84.1 84.2 84.3 84.4 84.5 84.6 84.7 P.A. Zyla et al. (Particle Data Group) (2020). "Review of Particle Physics". Progress of Theoretical and Experimental Physics 2020 (8): 083C01. doi:10.1093/ptep/ptaa104. https://pdg.lbl.gov/2020/reviews/rpp2020-rev-cosmic-microwave-background.pdf. Cosmic Microwave Background review by Scott and Smoot.
85. ↑ 85.0 85.1 Bennett, C.. "COBE Differential Microwave Radiometers: Calibration Techniques.". http://articles.adsabs.harvard.edu/pdf/1992ApJ...391..466B.
86. ↑ Shosh, S. (2016). "Dipole Modulation of Cosmic Microwave Background Temperature and Polarization.". Journal of Cosmology and Astroparticle Physics 2016 (1): 046. doi:10.1088/1475-7516/2016/01/046. Bibcode: 2016JCAP...01..046G.
87. ↑ Secrest, Nathan J.; Hausegger, Sebastian von; Rameez, Mohamed; Mohayaee, Roya; Sarkar, Subir; Colin, Jacques (2021). "A Test of the Cosmological Principle with Quasars". The Astrophysical Journal Letters 908 (2): L51. doi:10.3847/2041-8213/abdd40. Bibcode: 2021ApJ...908L..51S. https://doi.org/10.3847/2041-8213/abdd40.
88. ↑ Rossmanith, G.; Räth, C.; Banday, A. J.; Morfill, G. (2009). "Non-Gaussian Signatures in the five-year WMAP data as identified with isotropic scaling indices". Monthly Notices of the Royal Astronomical Society 399 (4): 1921–1933. doi:10.1111/j.1365-2966.2009.15421.x. Bibcode: 2009MNRAS.399.1921R.
89. ↑ Bernui, A.; Mota, B.; Rebouças, M. J.; Tavakol, R. (2007). "Mapping the large-scale anisotropy in the WMAP data". Astronomy and Astrophysics 464 (2): 479–485. doi:10.1051/0004-6361:20065585. Bibcode: 2007A&A...464..479B.
90. ↑ Jaffe, T.R.; Banday, A. J.; Eriksen, H. K.; Górski, K. M.; Hansen, F. K. (2005). "Evidence of vorticity and shear at large angular scales in the WMAP data: a violation of cosmological isotropy?". The Astrophysical Journal 629 (1): L1–L4. doi:10.1086/444454. Bibcode: 2005ApJ...629L...1J.
91. ↑ de Oliveira-Costa, A.; Tegmark, Max; Zaldarriaga, Matias; Hamilton, Andrew (2004). "The significance of the largest scale CMB fluctuations in WMAP". Physical Review D 69 (6): 063516. doi:10.1103/PhysRevD.69.063516. Bibcode: 2004PhRvD..69f3516D. http://cds.cern.ch/record/628847.
92. ↑ Schwarz, D. J.; Starkman, Glenn D. et al. (2004). "Is the low-ℓ microwave background cosmic?". Physical Review Letters 93 (22): 221301. doi:10.1103/PhysRevLett.93.221301. PMID 15601079. Bibcode: 2004PhRvL..93v1301S. http://cds.cern.ch/record/725179.
93. ↑ Bielewicz, P.; Gorski, K. M.; Banday, A. J. (2004). "Low-order multipole maps of CMB anisotropy derived from WMAP". Monthly Notices of the Royal Astronomical Society 355 (4): 1283–1302. doi:10.1111/j.1365-2966.2004.08405.x. Bibcode: 2004MNRAS.355.1283B.
94. ↑ Liu, Hao; Li, Ti-Pei (2009). "Improved CMB Map from WMAP Data". arXiv:0907.2731v3 [astro-ph].
95. ↑ Sawangwit, Utane; Shanks, Tom (2010). "Lambda-CDM and the WMAP Power Spectrum Beam Profile Sensitivity". arXiv:1006.1270v1 [astro-ph].
96. ↑ Liu, Hao (2010). "Diagnosing Timing Error in WMAP Data". Monthly Notices of the Royal Astronomical Society 413 (1): L96–L100. doi:10.1111/j.1745-3933.2011.01041.x. Bibcode: 2011MNRAS.413L..96L.
97. ↑ Tegmark, M.; de Oliveira-Costa, A.; Hamilton, A. (2003). "A high resolution foreground cleaned CMB map from WMAP". Physical Review D 68 (12): 123523. doi:10.1103/PhysRevD.68.123523. Bibcode: 2003PhRvD..68l3523T. This paper states, "Not surprisingly, the two most contaminated multipoles are [the quadrupole and octupole], which most closely trace the galactic plane morphology."
98. ↑ O'Dwyer, I.; Eriksen, H. K.; Wandelt, B. D.; Jewell, J. B.; Larson, D. L.; Górski, K. M.; Banday, A. J.; Levin, S. et al. (2004). "Bayesian Power Spectrum Analysis of the First-Year Wilkinson Microwave Anisotropy Probe Data". Astrophysical Journal Letters 617 (2): L99–L102. doi:10.1086/427386. Bibcode: 2004ApJ...617L..99O.
99. ↑ Slosar, A.; Seljak, U. (2004). "Assessing the effects of foregrounds and sky removal in WMAP". Physical Review D 70 (8): 083002. doi:10.1103/PhysRevD.70.083002. Bibcode: 2004PhRvD..70h3002S. http://cds.cern.ch/record/732816.
100. ↑ Bielewicz, P.; Eriksen, H. K.; Banday, A. J.; Górski, K. M.; Lilje, P. B. (2005). "Multipole vector anomalies in the first-year WMAP data: a cut-sky analysis". Astrophysical Journal 635 (2): 750–60. doi:10.1086/497263. Bibcode: 2005ApJ...635..750B.
101. ↑ Copi, C.J.; Huterer, Dragan; Schwarz, D. J.; Starkman, G. D. (2006). "On the large-angle anomalies of the microwave sky". Monthly Notices of the Royal Astronomical Society 367 (1): 79–102. doi:10.1111/j.1365-2966.2005.09980.x. Bibcode: 2006MNRAS.367...79C.
102. ↑ de Oliveira-Costa, A.; Tegmark, M. (2006). "CMB multipole measurements in the presence of foregrounds". Physical Review D 74 (2): 023005. doi:10.1103/PhysRevD.74.023005. Bibcode: 2006PhRvD..74b3005D. http://cds.cern.ch/record/934594.
103. ↑ "Planck shows almost perfect cosmos – plus axis of evil". https://www.newscientist.com/article/dn23301-planck-shows-almost-perfect-cosmos--plus-axis-of-evil.html.
104. ↑ "Found: Hawking's initials written into the universe". https://www.newscientist.com/article/dn18489-found-hawkings-initials-written-into-the-universe.html.
105. ↑ Krauss, Lawrence M.; Scherrer, Robert J. (2007). "The return of a static universe and the end of cosmology". General Relativity and Gravitation 39 (10): 1545–1550. doi:10.1007/s10714-007-0472-9. Bibcode: 2007GReGr..39.1545K.
106. ↑ Adams, Fred C.; Laughlin, Gregory (1997). "A dying universe: The long-term fate and evolution of astrophysical objects". Reviews of Modern Physics 69 (2): 337–372. doi:10.1103/RevModPhys.69.337. Bibcode: 1997RvMP...69..337A.
107. ↑ Guillaume, C.-É., 1896, La Nature 24, series 2, p. 234, cited in "History of the 2.7 K Temperature Prior to Penzias and Wilson" (PDF)
108. ↑ Eddington, A., The Internal Constitution of the Stars, cited in "History of the 2.7 K Temperature Prior to Penzias and Wilson" (PDF)
109. ↑ 109.0 109.1 109.2 109.3 109.4 Kragh, H. (1999). Cosmology and Controversy: The Historical Development of Two Theories of the Universe. Princeton University Press. p. 135. ISBN 978-0-691-00546-1. https://archive.org/details/cosmologycontrov00helg. "In 1946, Robert Dicke and coworkers at MIT tested equipment that could test a cosmic microwave background of intensity corresponding to about 20K in the microwave region. However, they did not refer to such a background, but only to 'radiation from cosmic matter'. Also, this work was unrelated to cosmology and is only mentioned because it suggests that by 1950, detection of the background radiation might have been technically possible, and also because of Dicke's later role in the discovery". See also Dicke, R. H. (1946). "Atmospheric Absorption Measurements with a Microwave Radiometer". Physical Review 70 (5–6): 340–348. doi:10.1103/PhysRev.70.340. Bibcode: 1946PhRv...70..340D.
110. ↑ 110.0 110.1 George Gamow, The Creation Of The Universe p.50 (Dover reprint of revised 1961 edition) ISBN:0-486-43868-6
111. ↑ Gamow, G. (2004). Cosmology and Controversy: The Historical Development of Two Theories of the Universe. Courier Dover Publications. p. 40. ISBN 978-0-486-43868-9. https://books.google.com/books?id=5awirwgmvAoC&pg=PA40.
112. ↑ Erwin Finlay-Freundlich, "Ueber die Rotverschiebung der Spektrallinien" (1953) Contributions from the Observatory, University of St. Andrews; no. 4, p. 96–102. Finlay-Freundlich gave two extreme values of 1.9K and 6.0K in Finlay-Freundlich, E.: 1954, "Red shifts in the spectra of celestial bodies", Phil. Mag., Vol. 45, pp. 303–319.
113. ↑ Weinberg, S. (1972). Oxford Astronomy Encyclopedia. John Wiley & Sons. pp. 514. ISBN 978-0-471-92567-5. https://archive.org/details/gravitationcosmo00stev_0/page/514.
114. ↑ Helge Kragh, Cosmology and Controversy: The Historical Development of Two Theories of the Universe (1999) ISBN:0-691-00546-X. "Alpher and Herman first calculated the present temperature of the decoupled primordial radiation in 1948, when they reported a value of 5 K. Although it was not mentioned either then or in later publications that the radiation is in the microwave region, this follows immediately from the temperature ... Alpher and Herman made it clear that what they had called "the temperature in the universe" the previous year referred to a blackbody distributed background radiation quite different from the starlight."
115. ↑ Shmaonov, T. A. (1957). "Commentary" (in ru). Pribory I Tekhnika Experimenta 1: 83. doi:10.1016/S0890-5096(06)60772-3.
116. ↑ It is noted that the "measurements showed that radiation intensity was independent of either time or direction of observation ... it is now clear that Shmaonov did observe the cosmic microwave background at a wavelength of 3.2 cm"
117. ↑ Naselsky, P. D.; Novikov, D.I.; Novikov, I. D. (2006). The Physics of the Cosmic Microwave Background. ISBN 978-0-521-85550-1. https://books.google.com/books?id=J2KCisZsWZ0C&pg=RA1-PA1.
118. ↑ Helge Kragh (1999). Cosmology and Controversy: The Historical Development of Two Theories of the Universe. Princeton University Press. ISBN 978-0-691-00546-1. https://archive.org/details/cosmologycontrov00helg.
119. ↑ Doroshkevich, A. G.; Novikov, I.D. (1964). "Mean Density of Radiation in the Metagalaxy and Certain Problems in Relativistic Cosmology". Soviet Physics Doklady 9 (23): 4292–4298. doi:10.1021/es990537g. Bibcode: 1999EnST...33.4292W.
120. ↑ Nobel Prize In Physics: Russia's Missed Opportunities, RIA Novosti, Nov 21, 2006
121. ↑ Sanders, R.; Kahn, J. (13 October 2006). "UC Berkeley, LBNL cosmologist George F. Smoot awarded 2006 Nobel Prize in Physics". UC Berkeley News. http://www.berkeley.edu/news/media/releases/2006/10/03_nobelph.shtml.
122. ↑ Kovac, J.M. (2002). "Detection of polarization in the cosmic microwave background using DASI". Nature 420 (6917): 772–787. doi:10.1038/nature01269. PMID 12490941. Bibcode: 2002Natur.420..772K. http://cds.cern.ch/record/582473.
123. ↑ Readhead, A. C. S. (2004). "Polarization Observations with the Cosmic Background Imager". Science 306 (5697): 836–844. doi:10.1126/science.1105598. PMID 15472038. Bibcode: 2004Sci...306..836R.
124. ↑ A. Readhead et al., "Polarization observations with the Cosmic Background Imager", Science 306, 836–844 (2004).
125. ↑ "BICEP2 News | Not Even Wrong". http://www.math.columbia.edu/~woit/wordpress/?p=6865.
126. ↑ Cowen, Ron (2015-01-30). "Gravitational waves discovery now officially dead". Nature. doi:10.1038/nature.2015.16830.
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## Further reading

* Balbi, Amedeo (2008). The music of the big bang : the cosmic microwave background and the new cosmology. Berlin: Springer. ISBN 978-3-540-78726-6.
* Durrer, Ruth (2008). The Cosmic Microwave Background. Cambridge University Press. ISBN 978-0-521-84704-9.
* Evans, Rhodri (2015) (in en). The Cosmic Microwave Background: How It Changed Our Understanding of the Universe. Springer. ISBN 978-3-319-09927-9.

## External links

* Student Friendly Intro to the CMB A pedagogic, step-by-step introduction to the cosmic microwave background power spectrum analysis suitable for those with an undergraduate physics background. More in depth than typical online sites. Less dense than cosmology texts.
* CMBR Theme on arxiv.org
* Audio: Fraser Cain and Dr. Pamela Gay – Astronomy Cast. The Big Bang and Cosmic Microwave Background – October 2006
* Visualization of the CMB data from the Planck mission
* Copeland, Ed. "CMBR: Cosmic Microwave Background Radiation". Brady Haran for the University of Nottingham. http://www.sixtysymbols.com/videos/CMBR.htm.

* v
* t
* e

Cosmic microwave background radiation (CMB)

* Discovery of CMB radiation
* Timeline of CMB astronomy

Effects|

* Cosmic variance
* Silk damping
* Recombination
* Sachs–Wolfe effect
* Sunyaev–Zel'dovich effect
* Thomson scattering

9-year WMAP image (2012) of the CMB.

Experiments|

| Space|

* COBE
* LiteBIRD
* Planck
* RELIKT-1
* WMAP

|

Balloon|

* Archeops
* ARCADE
* BOOMERanG
* LSPE/SWIPE
* EBEX
* MAXIMA
* QMAP
* Spider
* TopHat

Ground|

* ABS
* ACBAR
* ACT
* AMI
* AMiBA
* APEX
* ATCA
* BICEP (1,2,3,Array)
* BIMA
* CAPMAP
* CAT
* CBI
* CLASS
* COSMOSOMAS
* DASI
* Keck Array
* LSPE/STRIP
* MAT
* OVRO
* POLARBEAR
* QUaD
* QUBIC
* QUIET
* QUIJOTE
* Saskatoon
* SPT
* SZA
* Tenerife
* VSA

* v
* t
* e

Radio astronomy

Concepts|

* Units (watt and jansky)
* Radio telescope (Radio window)
* Astronomical interferometer (History)
* Very Long Baseline Interferometry (VLBI)
* Astronomical radio source

Radio telescopes
(List)|

| Individual
telescopes|

* 500 meter Aperture Spherical Telescope (FAST, China)
* Arecibo Observatory (Puerto Rico, US)
* Caltech Submillimeter Observatory (CSO, US)
* Effelsberg Telescope (Germany)
* Galenki RT-70 (Russia)
* Green Bank Telescope (West Virginia, US)
* Large Millimeter Telescope (Mexico)
* Lovell Telescope (UK)
* Ooty Telescope (India)
* Qitai Radio Telescope (China)
* RATAN-600 Radio Telescope (Russia)
* Sardinia Radio Telescope (Italy)
* Suffa RT-70 (Uzbekistan)
* Usuda Telescope (Japan)
* UTR-2 decameter radio telescope (Ukraine)
* Yevpatoria RT-70 (Russia)

Southern Hemisphere
HartRAO (South Africa)
Parkes Observatory (Australia)
Warkworth Radio Astronomical Observatory (NZ)

|

Interferometers|

* Allen Telescope Array (ATA, California, US)
* Atacama Large Millimeter Array (ALMA, Chile)
* Australia Telescope Compact Array (ATCA, Australia)
* Australian Square Kilometre Array Pathfinder (ASKAP, Australia)
* Canadian Hydrogen Intensity Mapping Experiment (CHIME, Canada)
* Combined Array for Research in Millimeter-wave Astronomy (CARMA, California, US)
* European VLBI Network (Europe)
* Event Horizon Telescope (EHT)
* Giant Metrewave Radio Telescope (GMRT, India)
* Green Bank Interferometer (GBI, West Virginia, US)
* Korean VLBI Network (KVN, South Korea)
* Large Latin American Millimeter Array (LLAMA, Argentina/Brazil)
* Long Wavelength Array (LWA, New Mexico, US)
* Low-Frequency Array (LOFAR, Netherlands)
* MeerKAT (South Africa)
* Molonglo Observatory Synthesis Telescope (MOST, Australia)
* Multi-Element Radio Linked Interferometer Network (MERLIN, UK)
* Murchison Widefield Array (MWA, Australia)
* Northern Cross Radio Telescope (Italy)
* Northern Extended Millimeter Array (France)
* One-Mile Telescope (UK)
* Primeval Structure Telescope (PaST, China)
* Square Kilometre Array (SKA, Australia, South Africa)
* Submillimeter Array (SMA, US)
* Very Large Array (VLA, New Mexico, US)
* Very Long Baseline Array (VLBA, US)
* Westerbork Synthesis Radio Telescope (WSRT, Netherlands)

Space-based|

* HALCA (Japan)
* Spektr-R (Russia)

Observatories|

* Algonquin Radio Observatory (Canada)
* Haystack Observatory (US)
* Jodrell Bank Observatory (UK)
* Mullard Radio Astronomy Observatory (UK)
* National Radio Astronomy Observatory (US)
* Nançay Radio Observatory (France)
* Onsala Space Observatory (Sweden)
* Pushchino Radio Astronomy Observatory (PRAO ASC LPI, Russia)
* Special Astrophysical Observatory of the Russian Academy of Science (SAORAS, Russia)
* Warkworth Radio Astronomical Observatory

Multi-use|

* DRAO (Canada)
* ESA New Norcia (Australia)
* PARL (Canada)

People|

* Elizabeth Alexander
* John G. Bolton
* Edward George Bowen
* Ronald Bracewell
* Jocelyn Bell Burnell
* Arthur Covington
* Nan Dieter-Conklin
* Frank Drake
* Antony Hewish
* Karl Guthe Jansky
* Kenneth Kellermann
* Frank J. Kerr
* John D. Kraus
* Bernard Lovell
* Jan Oort
* Joseph Lade Pawsey
* Ruby Payne-Scott
* Arno Penzias
* Grote Reber
* Martin Ryle
* Govind Swarup
* Gart Westerhout
* Paul Wild
* Robert Wilson

Related articles|

* Radio propagation
* Interferometry
* Aperture synthesis
* SETI (Wow! signal, Radio signal from HD 164595)
* Pulsar timing array
* Cosmic microwave background radiation

* Submillimetre astronomy
* Infrared astronomy
* Optical astronomy
* High-energy astronomy
* Gravitational-wave astronomy

* v
* t
* e

Cosmology

Background|

* Age of the universe
* Big Bang
* Chronology of the universe
* Universe
* Observable Universe

History of
cosmological theories|

* Discovery of cosmic microwave background
* History of the Big Bang theory
* Religious interpretations of the Big Bang
* Timeline of cosmological theories

Past universe|

* Cosmic microwave background
* Cosmic neutrino background
* Gravitational wave background
* Inflation
* Nucleosynthesis
* Habitable epoch

Present universe|

* FLRW metric
* Friedmann equations
* Hubble's law
* Metric expansion of space
* Accelerating expansion
* Redshift

Future universe|

* Future of an expanding universe
* Ultimate fate of the universe

Components|

* Dark energy
* Dark fluid
* Dark matter
* Lambda-CDM model

Structure formation|

* Galaxy filament
* Galaxy formation
* Large quasar group
* Large-scale structure
* Reionization
* Shape of the universe
* Structure formation

Experiments|

* 2dF
* 6dF
* BOOMERanG
* COBE
* Illustris project
* Observational cosmology
* Planck
* SDSS
* WMAP

* v
* t
* e

Relativity

Special
relativity|

| Background|

* Principle of relativity (Galilean relativity
* Galilean transformation)
* Special relativity
* Doubly special relativity

|

Fundamental
concepts|

* Frame of reference
* Speed of light
* Hyperbolic orthogonality
* Rapidity
* Maxwell's equations
* Proper length
* Proper time
* Relativistic mass

Formulation|

* Lorentz transformation

Phenomena|

* Time dilation
* Mass–energy equivalence
* Length contraction
* Relativity of simultaneity
* Relativistic Doppler effect
* Thomas precession
* Ladder paradox
* Twin paradox

Spacetime|

* Light cone
* World line
* Minkowski diagram
* Biquaternions
* Minkowski space

General
relativity|

| Background|

* Introduction
* Mathematical formulation

|

Fundamental
concepts|

* Equivalence principle
* Riemannian geometry
* Penrose diagram
* Geodesics
* Mach's principle

Formulation|

* ADM formalism
* BSSN formalism
* Einstein field equations
* Linearized gravity
* Post-Newtonian formalism
* Raychaudhuri equation
* Hamilton–Jacobi–Einstein equation
* Ernst equation

Phenomena|

* Black hole
* Event horizon
* Singularity
* Two-body problem

* Gravitational waves: astronomy
* detectors (LIGO and collaboration
* Virgo
* LISA Pathfinder
* GEO)
* Hulse–Taylor binary

* Other tests: precession of Mercury
* lensing
* redshift
* Shapiro delay
* frame-dragging / geodetic effect (Lense–Thirring precession)
* pulsar timing arrays

Advanced
theories|

* Brans–Dicke theory
* Kaluza–Klein
* Quantum gravity

Solutions|

* Cosmological: Friedmann–Lemaître–Robertson–Walker (Friedmann equations)
* Kasner
* BKL singularity
* Gödel
* Milne

* Spherical: Schwarzschild (interior
* Tolman–Oppenheimer–Volkoff equation)
* Reissner–Nordström
* Lemaître–Tolman

* Axisymmetric: Kerr (Kerr–Newman)
* Weyl−Lewis−Papapetrou
* Taub–NUT
* van Stockum dust
* discs

* Others: pp-wave
* Ozsváth–Schücking metric

Scientists|

* Poincaré
* Lorentz
* Einstein
* Hilbert
* Schwarzschild
* de Sitter
* Weyl
* Eddington
* Friedmann
* Lemaître
* Milne
* Robertson
* Chandrasekhar
* Zwicky
* Wheeler
* Choquet-Bruhat
* Kerr
* Zel'dovich
* Novikov
* Ehlers
* Geroch
* Penrose
* Hawking
* Taylor
* Hulse
* Bondi
* Misner
* Yau
* Thorne
* Weiss
* others

Categories|

Theory of relativity

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Original source: https://en.wikipedia.org/wiki/Cosmic microwave background. Read more

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