Template:Short description Template:Redirect2

File:WMAP 2012.png
Nine-year Wilkinson Microwave Anisotropy Probe heat map of temperature fluctuations in the cosmic microwave background

Template:Cosmology

The cosmic microwave background (CMB, CMBR), or relic radiation, is microwave radiation that fills all space in the observable universe. 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 electromagnetic spectrum. The accidental discovery of the CMB in 1965 by American radio astronomers Arno Allan Penzias and Robert Woodrow Wilson was the culmination of work initiated in the 1940s.

The 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. Known as the recombination epoch, this decoupling event released photons to travel freely through space. However, the photons have grown less energetic due to the cosmological redshift associated with the expansion of the universe. 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, WMAP and Planck have been used to measure these temperature inhomogeneities. 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.

FeaturesEdit

File:Cmbr.svg
CitationClass=web }}</ref><ref>Template:Cite journal</ref> While vastly exaggerated "error bars" were included here to show the measured data points, the true error bars are too small to be seen even in an enlarged image, and it is impossible to distinguish the observed data from the blackbody spectrum for 2.725 K.

The cosmic microwave background radiation is an emission of uniform black body thermal energy coming from all directions. Intensity of the CMB is expressed in kelvin (K), the SI unit of temperature. The CMB has a thermal black body spectrum at a temperature of Template:Val.<ref name="apj707_2_916">Template:Cite journal</ref> Variations in intensity are expressed as variations in temperature. The blackbody temperature uniquely characterizes the intensity of the radiation at all wavelengths; a measured brightness temperature at any wavelength can be converted to a blackbody temperature.<ref name="WrightUCLASite" />

The radiation is remarkably uniform across the sky, very unlike the almost point-like structure of stars or clumps of stars in galaxies.<ref name="HuDodelsonReview">Template:Cite journal</ref> The radiation is isotropic to roughly one part in 25,000: the root mean square variations are just over 100 μK,<ref name="PlanckV"> Template:Citation</ref> after subtracting 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 Crater near its boundary with the constellation Leo<ref name="PlanckI">Template:Citation</ref> The CMB dipole and aberration at higher multipoles have been measured, consistent with galactic motion.<ref name="PlanckXXVII">Template:Citation</ref> Despite the very small degree of anisotropy in the CMB, many aspects can be measured with high precision and such measurements are critical for cosmological theories.<ref name="HuDodelsonReview"/>

In addition to temperature anisotropy, the CMB should have an angular variation in polarization. The polarisation at each direction in the sky has an orientation described in terms of E-mode and B-mode polarization. The E-mode signal is a factor of 10 less strong than the temperature anisotropy; it supplements the temperature data as they are correlated. The B-mode signal is even weaker but may contain additional cosmological data.<ref name="HuDodelsonReview"/>

The anisotropy is related to physical origin of the polarisation. Excitation of an electron by linear polarised light generates polarized light at 90 degrees to the incident direction. If the incoming radiation is isotropic, different incoming directions create polarizations that cancel out. If the incoming radiation has quadrupole anisotropy, residual polarization will be seen.<ref>Hu, Wayne, and Martin White. "A CMB polarization primer." arXiv preprint astro-ph/9706147 (1997).</ref>

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.<ref name="Voyage2050">Template:Cite journal</ref>

The CMB contains the vast majority of photons in the universe by a factor of 400 to 1;<ref name=HistoryOfAlternatives>Template:Cite journal</ref>Template:Rp the number density of photons in the CMB is one billion times (109) the number density of matter in the universe. Without the expansion of the universe to cause the cooling of the CMB, the night sky would shine as brightly as the Sun.<ref>K.A. Olive and J.A. Peacock (September 2017) "21. Big-Bang Cosmology" in .S. Navas et al. (Particle Data Group), to be published in Phys. Rev. D 110, 030001 (2024)</ref> The energy density of the CMB is Template:Convert, about 411 photons/cm3.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

HistoryEdit

Early speculationsEdit

In 1931, Georges Lemaître speculated that remnants of the early universe may be observable as radiation, but his candidate was cosmic rays.<ref name=PeeblesPrinciples/>Template:Rp Richard C. Tolman showed in 1934 that expansion of the universe would cool blackbody radiation while maintaining a thermal spectrum. The cosmic microwave background was first predicted in 1948 by Ralph Alpher and Robert Herman, in a correction<ref> Template:Cite journal</ref> they prepared for a paper by Alpher's PhD advisor George Gamow.<ref> Template:Cite journal</ref> Alpher and Herman were able to estimate the temperature of the cosmic microwave background to be 5 K.<ref> Template:Cite journal</ref>

DiscoveryEdit

Template:See also

File:Horn Antenna-in Holmdel, New Jersey - restoration1.jpg
The Holmdel Horn Antenna on which Penzias and Wilson discovered the cosmic microwave background.<ref name="NYT-20230905" />

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.<ref name="Penzias-Nobel-1979">Template:Cite journal</ref> In 1964, David Todd Wilkinson and Peter Roll, Robert H. Dicke's colleagues at Princeton University, began constructing a Dicke radiometer to measure the cosmic microwave background.<ref> Template:Cite journal This basic design for a radiometer has been used in most subsequent cosmic microwave background experiments.</ref> 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. 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.<ref name="NYT-20230905">Template:Cite news</ref> On 20 May 1964 they made their first measurement clearly showing the presence of the microwave background,<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> 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."<ref name="Penzias&Wilson">Template:Cite journal</ref><ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref><ref> Template:Cite journal</ref><ref name=PeeblesPrinciples>Template:Cite book</ref>Template:Rp 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.<ref name="PenziasWilsonNobelSummary">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

Cosmic originEdit

The interpretation of the cosmic microwave background was a controversial issue in the late 1960s. Alternative explanations included energy from within the Solar System, from galaxies, from intergalactic plasma and from multiple extragalactic radio sources. Two requirements would show that the microwave radiation was truly "cosmic". First, the intensity vs frequency or spectrum needed to be shown to match a thermal or blackbody source. This was accomplished by 1968 in a series of measurements of the radiation temperature at higher and lower wavelengths. Second, the radiation needed be shown to be isotropic, the same from all directions. This was also accomplished by 1970, demonstrating that this radiation was truly cosmic in origin.<ref name=PartridgeReview>Template:Cite book</ref>

Progress on theoryEdit

In the 1970s numerous studies showed that tiny deviations from isotropy in the CMB could result from events in the early universe.<ref name=PartridgeReview/>Template:Rp Harrison,<ref> Template:Cite journal</ref> Peebles and Yu,<ref>Template:Cite journal</ref> and Zel'dovich<ref> Template:Cite journal</ref> realized that the early universe would require quantum inhomogeneities that would result in temperature anisotropy at the level of 10−4 or 10−5.<ref name=PartridgeReview/>Template:Rp Rashid Sunyaev, using the alternative name relic radiation, calculated the observable imprint that these inhomogeneities would have on the cosmic microwave background.<ref>Template:Cite journal</ref>

COBEEdit

After a lull in the 1970s caused in part by the many experimental difficulties in measuring CMB at high precision,<ref name=PartridgeReview/>Template:Rp 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 the first upper limits on the large-scale anisotropy.<ref name=PartridgeReview/>Template:Rp

The other key event in the 1980s was the proposal by Alan Guth for cosmic inflation. This theory of rapid spatial expansion gave an explanation for large-scale isotropy by allowing causal connection just before the epoch of last scattering.<ref name=PartridgeReview/>Template:Rp With this and similar theories, detailed prediction encouraged larger and more ambitious experiments.

The NASA Cosmic Background Explorer (COBE) satellite orbited Earth in 1989–1996 detected and quantified the large-scale anisotropies at the limit of its detection capabilities. The NASA COBE mission clearly confirmed the primary anisotropy with the Differential Microwave Radiometer instrument, publishing their findings in 1992.<ref> Template:Cite journal</ref><ref> Template:Cite journal</ref> The team received the Nobel Prize in physics for 2006 for this discovery.

Precision cosmologyEdit

Inspired by the COBE results, a series of ground and balloon-based experiments measured cosmic microwave background anisotropies on smaller angular scales over theTemplate:Which two decades. The sensitivity of the new experiments improved dramatically, with a reduction in internal noise by three orders of magnitude.<ref name="Komatsu2022Review">Template:Cite journal</ref> 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.<ref> Template:Cite book</ref> The first peak in the anisotropy was tentatively detected by the MAT/TOCO experiment<ref> Template:Cite journal</ref> and the result was confirmed by the BOOMERanG<ref> Template:Cite journal</ref> and MAXIMA experiments.<ref> Template:Cite journal</ref> These measurements demonstrated that the geometry of the universe is approximately flat, rather than curved.<ref> Template:Cite journal</ref> They ruled out cosmic strings as a major component of cosmic structure formation and suggested cosmic inflation was the right theory of structure formation.<ref> Template:Cite journal</ref>

Observations after COBEEdit

{{#invoke:Labelled list hatnote|labelledList|Main article|Main articles|Main page|Main pages}}

File:PIA16874-CobeWmapPlanckComparison-20130321.jpg
Comparison of CMB results from COBE, WMAP and Planck
(March 21, 2013)

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 angular 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.

Wilkinson Microwave Anisotropy ProbeEdit

{{#invoke:Labelled list hatnote|labelledList|Main article|Main articles|Main page|Main pages}} 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 at five frequencies to minimize non-sky signal noise.<ref name="FirstWMAP"/> The data from the mission was released in five installments, the last being the nine-year summary. The results are broadly consistent Lambda CDM models based on 6 free parameters and fitting in to Big Bang cosmology with cosmic inflation.<ref name=WMAP9Map>Template:Cite journal</ref>

Degree Angular Scale InterferometerEdit

Template:Excerpt

Atacama Cosmology TelescopeEdit

Template:Excerpt

Planck SurveyorEdit

{{#invoke:Labelled list hatnote|labelledList|Main article|Main articles|Main page|Main pages}} 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.<ref name="NASA-20130321">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref><ref name="NYT-20130321g">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> 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 Template:Val years old. The imprint reflects ripples that arose as early, in the existence of the universe, as the first nonillionth (10−30) 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 Template:Val billion years old and the Hubble constant was measured to be Template:Val.<ref name="Planck 2015">Template:Cite journal</ref>

South Pole TelescopeEdit

Template:Excerpt

Theoretical modelsEdit

Template:For 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.<ref>Template:Cite journal</ref> The discovery of the CMB in the mid-1960s curtailed interest in alternatives such as the steady state theory.<ref>Template:Cite book</ref>

In the Big Bang model for the formation of the universe, inflationary cosmology predicts that after about 10−37 seconds<ref>Template:Cite book</ref> the nascent universe underwent exponential growth that smoothed out nearly all irregularities. The remaining irregularities were caused by quantum fluctuations in the inflaton field that caused the inflation event.<ref>Template:Cite journal</ref> Long before the formation of stars and planets, the early universe was more compact, much hotter and, starting 10−6 seconds after the Big Bang, filled with a uniform glow from its white-hot fog of interacting plasma of photons, electrons, and baryons.

As the universe expanded, adiabatic cooling caused the energy density of the plasma to decrease until it became favorable for electrons to combine with protons, forming hydrogen atoms. This recombination event happened when the temperature was around 3000 K or when the universe was approximately 379,000 years old.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> 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.<ref>Template:Cite journal</ref>

The color temperature of the ensemble of decoupled photons has continued to diminish ever since; now down to Template:Val,<ref name=apj707_2_916/> 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<ref> {{#invoke:citation/CS1|citation |CitationClass=web }}</ref><ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> 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,<ref>Template:Cite book</ref> making up a fraction of roughly Template:Val of the total density of the universe.<ref>Template:Cite book</ref>

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.<ref name="dpf99"> Template:Cite conference</ref>

Predictions based on the Big Bang modelEdit

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.<ref name="Apeiron2_3_79"/>

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.<ref>Template:Cite episode</ref> 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 Template:Val, which is much less than the Template:Val ionization energy of hydrogen.<ref>Template:Cite arXiv</ref> This epoch is generally known as the "time of last scattering" or the period of recombination or decoupling.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

Since decoupling, the color temperature of the background radiation has dropped by an average factor of 1,089<ref name="FirstWMAP"/> 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):<ref>Template:Cite journal</ref>

Tr = 2.725 K × (1 + z)

The high degree of uniformity throughout the observable universe and its faint but measured anisotropy lend strong support for the Big Bang model in general and the ΛCDM ("Lambda Cold Dark Matter") model in particular. Moreover, the fluctuations are coherent on angular scales that are larger than the apparent cosmological horizon at recombination. Either such coherence is acausally fine-tuned, or cosmic inflation occurred.<ref name="hep-ph/0309057">Template:Cite journal</ref><ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

Primary anisotropyEdit

File:PowerSpectrumExt.svg
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 photonbaryon 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.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> The third peak can be used to get information about the dark-matter density.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

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% Template:Em 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 ( 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 : ...<ref name="hu_white_1996">Template:Cite journal</ref> 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 Template:Nowrap is given by P(t)Template:Thin spacedt.

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.<ref name="WMAP_1_cosmo_params">Template:Cite journal</ref> This is often taken as the "time" at which the CMB formed. However, to figure out how Template:Em 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.<ref name="WMAP_1_cosmo_params"/>Template:Rp By this measure, decoupling took place over roughly 115,000 years, and thus when it was complete, the universe was roughly 487,000 years old.

Late time anisotropyEdit

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 around 10.<ref name="WMAP9Cosmo"/> 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.

Alternative theoriesEdit

{{#invoke:Labelled list hatnote|labelledList|Main article|Main articles|Main page|Main pages}} The standard cosmology that includes the Big Bang "enjoys considerable popularity among the practicing cosmologists"<ref name=NarlikarPadmanabhan>Template:Cite journal</ref>Template:Rp However, there are challenges to the standard big bang framework for explaining CMB data. In particular standard cosmology requires fine-tuning of some free parameters, with different values supported by different experimental data.<ref name=NarlikarPadmanabhan/>Template:Rp As an example of the fine-tuning issue, standard cosmology cannot predict the present temperature of the relic radiation, <math>T_0</math>.<ref name=NarlikarPadmanabhan/>Template:Rp This value of <math>T_0</math> is one of the best results of experimental cosmology and the steady state model can predict it.<ref name="Apeiron2_3_79"/> However, alternative models have their own set of problems and they have only made post-facto explanations of existing observations.<ref name=NarlikarPadmanabhan/>Template:Rp Nevertheless, these alternatives have played an important historic role in providing ideas for and challenges to the standard explanation.<ref name=HistoryOfAlternatives/>

PolarizationEdit

File:CMB power spectra - TT, EE, BB.pdf
Temperature power spectrum and E-mode and B-mode polarization power spectra of the cosmic microwave background

The cosmic microwave background is polarized at the level of a few microkelvin. There are two types of polarization, called E-mode (or gradient-mode) and B-mode (or curl mode).<ref name=Trippe2014/> 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.

E-modesEdit

The E-modes arise from Thomson scattering in a heterogeneous plasma.<ref name=Trippe2014>Template:Cite journal</ref> E-modes were first seen in 2002 by the Degree Angular Scale Interferometer (DASI).<ref>Template:Cite journal</ref><ref>Template:Cite journal</ref>

B-modesEdit

B-modes are expected to be an order of magnitude weaker than the E-modes. The former are not produced by standard scalar type perturbations, but are generated by gravitational waves during cosmic inflation shortly after the big bang.<ref name=SeljakMeasuring>Template:Cite journal</ref><ref name=SeljakSignature>Template:Cite journal</ref><ref>Template:Cite journal</ref> However, gravitational lensing of the stronger E-modes can also produce B-mode polarization.<ref name=SeljakGraviational>Template:Cite journal</ref><ref>Template:Cite journal</ref> Detecting the original B-modes signal requires analysis of the contamination caused by lensing of the relatively strong E-mode signal.<ref>Template:Cite journal</ref>

Primordial gravitational wavesEdit

Models of "slow-roll" cosmic inflation in the early universe predicts primordial gravitational waves that would impact the polarisation of the cosmic microwave background, creating a specific pattern of B-mode polarization. Detection of this pattern would support the theory of inflation and their strength can confirm and exclude different models of inflation.<ref name=SeljakSignature/><ref name="KamionkowskiReview">Template:Cite journal</ref> Claims that this characteristic pattern of B-mode polarization had been measured by BICEP2 instrument<ref name="NYT-20140922"/> were later attributed to cosmic dust due to new results of the Planck experiment.<ref name="AXV-20140919">Template:Cite journal</ref><ref name="KamionkowskiReview"/>Template:Rp

Gravitational lensingEdit

File:Gravitational lens-full.jpg
Artist impression of the gravitational lensing effect of massive cosmic structures

The second type of B-modes was discovered in 2013 using the South Pole Telescope with help from the Herschel Space Observatory.<ref>Template:Cite journal</ref> In October 2014, a measurement of the B-mode polarization at 150 GHz was published by the POLARBEAR experiment.<ref name="pc1" /> 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.<ref name="cs" />

Multipole analysisEdit

File:WMAP 2008 TT spectra.png
Example Multipole Power Spectrum. WMAP Data are represented as points, curves correspond to the best-fit LCDM model<ref name="WMAP9Cosmo">Template:Cite journal</ref>

The CMB angular anisotropies are usually presented in terms of power per multipole.<ref name="cmbreview">Template:Cite journal Cosmic Microwave Background review by Scott and Smoot.</ref> The map of temperature across the sky, <math>T(\theta,\varphi),</math> is written as coefficients of spherical harmonics, <math display="block">T(\theta,\varphi) = \sum_{\ell m} a_{\ell m} Y_{\ell m}(\theta,\varphi)</math> where the <math>a_{\ell m}</math> term measures the strength of the angular oscillation in <math>Y_{\ell m}(\theta,\varphi)</math>, and is the multipole number while m is the azimuthal number. The azimuthal variation is not significant and is removed by applying the angular correlation function, giving power spectrum term <math>C_{\ell}\equiv \langle |a_{\ell m}|^2 \rangle.</math> Increasing values of correspond to higher multipole moments of CMB, meaning more rapid variation with angle.

CMBR monopole term ( = 0)Edit

The monopole term, Template:Nowrap, is the constant isotropic mean temperature of the CMB, Template:Nowrap<ref name="cmbreview"/> with one standard deviation confidence. This term must be measured with absolute temperature devices, such as the FIRAS instrument on the COBE satellite.<ref name="cmbreview"/>Template:Rp

CMBR dipole anisotropy ( = 1)Edit

CMB dipole represents the largest anisotropy, which is in the first spherical harmonic (Template:Nowrap), a cosine function. The amplitude of CMB dipole is around Template:Val.<ref name="cmbreview"/> The CMB dipole moment is interpreted as the peculiar motion of the Earth relative to 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,<ref name="cmbreview"/><ref name="cobe">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> which fits the observation done by COBE FIRAS.<ref name="cobe"/><ref>Template:Cite journal</ref> The dipole moment does not encode any primordial information.

From the CMB data, it is seen that the Sun appears to be moving at Template:Val 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 Template:Val in the direction of galactic longitude Template:Nowrap, Template:Nowrap.<ref name="cmbreview"/> The dipole is now used to calibrate mapping studies.

Multipole ( ≥ 2)Edit

The temperature variation in the CMB temperature maps at higher multipoles, or Template:Nowrap, is considered to be the result of perturbations of the density in the early Universe, before the recombination epoch at a redshift of around Template:Nowrap. 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.<ref name="cmbreview"/>

Data analysis challengesEdit

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.

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 foreground sources 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.

AnomaliesEdit

Template:See also

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.<ref name="arXiv:0905.2854v2">Template:Cite journal</ref><ref name="arXiv:astro-ph/0511666">Template:Cite journal</ref><ref name="arXiv:astro-ph/0503213">Template:Cite journal</ref> The most longstanding of these is the low- multipole controversy. Even in the COBE map, it was observed that the quadrupole (Template:Nowrap, spherical harmonic) has a low amplitude compared to the predictions of the Big Bang. In particular, the quadrupole and octupole (Template:Nowrap) modes appear to have an unexplained alignment with each other and with both the ecliptic plane and equinoxes.<ref>Template:Cite journal</ref><ref>Template:Cite journal</ref><ref>Template:Cite journal</ref> A number of groups have suggested that this could be the signature of quantum corrections or new physics at the greatest observable scales; other groups suspect systematic errors in the data.<ref>Template:Cite journal</ref><ref name="arXiv:0907.2731v3">Template:Cite arXiv</ref><ref name="arXiv:1006.1270v1">Template:Cite arXiv</ref><ref name="arXiv:1009.2701v1">Template:Cite journal</ref>

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.<ref name="hinshaw07">Template:Cite journal</ref><ref name="FirstWMAP"> Template:Cite journal This paper warns that "the statistics of this internal linear combination map are complex and inappropriate for most CMB analyses."</ref><ref> Template:Cite journal This paper states, "Not surprisingly, the two most contaminated multipoles are [the quadrupole and octupole], which most closely trace the galactic plane morphology."</ref> 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.<ref>Template:Cite journal</ref> Carefully accounting for the procedure used to remove the foregrounds from the full sky map further reduces the significance of the alignment by ~5%.<ref>Template:Cite journal</ref><ref>Template:Cite journal</ref><ref>Template:Cite journal</ref><ref>Template:Cite journal</ref> 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.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> 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."<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

Measurements of the density of quasars based on Wide-field Infrared Survey Explorer data finds a dipole significantly different from the one extracted from the CMB anisotropy.<ref name="SuburSarkar">Template:Cite journal</ref> This difference is conflict with the cosmological principle.<ref>Template:Cite journal</ref>

Future evolutionEdit

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,<ref name="endcosmology"> Template:Cite journal</ref> 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.<ref name="fate"> Template:Cite journal</ref>

Timeline of prediction, discovery and interpretationEdit

Template:See also

Thermal (non-microwave background) temperature predictionsEdit

  • 1896 – Charles Édouard Guillaume estimates the "radiation of the stars" to be 5–6 K.<ref name="Apeiron2_3_79"/><ref name="G 1896">Guillaume, C.-É., 1896, La Nature 24, series 2, p. 234</ref>
  • 1926 – Sir Arthur Eddington estimates the non-thermal radiation of starlight in the galaxy "... by the formula Template:Nowrap the effective temperature corresponding to this density is 3.18° absolute ... black body".<ref name="Apeiron2_3_79"/><ref>Template:Cite book</ref>
  • 1930s – Cosmologist Erich Regener calculates that the non-thermal spectrum of cosmic rays in the galaxy has an effective temperature of 2.8 K.<ref name="Apeiron2_3_79"/>
  • 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.
  • 1946 – Robert Dicke predicts "... radiation from cosmic matter" at < 20 K, but did not refer to background radiation.<ref name=Kragh>

Template:Cite book "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 Template:Cite journal</ref>

  • 1946 – George Gamow calculates a temperature of 50 K (assuming a 3-billion year old universe),<ref name="The Creation Of The Universe">George Gamow, The Creation Of The Universe p.50 (Dover reprint of revised 1961 edition) Template:ISBN</ref> commenting it "... is in reasonable agreement with the actual temperature of interstellar space", but does not mention background radiation.<ref>Template:Cite book</ref>
  • 1953 – Erwin Finlay-Freundlich in support of his tired light theory, derives a blackbody temperature for intergalactic space of 2.3 K and in the following year values of 1.9K and 6.0K.<ref>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.</ref>

Microwave background radiation predictions and measurementsEdit

  • 1941 – Andrew McKellar detected a "rotational" temperature of 2.3 K for the interstellar medium by comparing the population of CN doublet lines measured by W. S. Adams in a B star.<ref name="dao7">

Template:Cite journal</ref><ref>Template:Cite book</ref>

  • 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.<ref>Helge Kragh, Cosmology and Controversy: The Historical Development of Two Theories of the Universe (1999) Template:ISBN. "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."</ref>
  • 1953 – George Gamow estimates 7 K based on a model that does not rely on a free parameter<ref name=Kragh /><ref>Template:Cite journal</ref>Template:Rp
  • 1955 – Émile Le Roux of the Nançay Radio Observatory, in a sky survey at λ = 33 cm, initially reported a near-isotropic background radiation of 3 kelvins, plus or minus 2; he did not recognize the cosmological significance<ref name=Kragh /> Template:Rp<ref name=PartridgeReview/>Template:Rp and later revised the error bars to 20K.<ref>Delannoy, J., Denisse, J. F., Le Roux, E., & Morlet, B. (1957). Mesures absolues de faibles densités de flux de rayonnement à 900 MHz. Annales d'Astrophysique, Vol. 20, p. 222, 20, 222.</ref><ref name=WrightUCLASite>{{#invoke:citation/CS1|citation

|CitationClass=web }}</ref>

Template:Cite news</ref>

  • 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 MAT/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.<ref>Template:Cite journal</ref>
  • 2003 – E-mode polarization spectrum obtained by the CBI.<ref>Template:Cite journal</ref> 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 Template:Em high-resolution data, but improves on the intermediate resolution maps from BOOMERanG).
  • 2004 – E-mode polarization spectrum obtained by the CBI.<ref>A. Readhead et al., "Polarization observations with the Cosmic Background Imager", Science 306, 836–844 (2004).</ref>
  • 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.<ref name="BICEP2-2014"/><ref name="NASA-20140317">{{#invoke:citation/CS1|citation

|CitationClass=web }}</ref><ref name="NYT-20140317">Template:Cite news</ref><ref name="NYT-20140324">Template:Cite newsTemplate:Cbignore</ref><ref name="PRL-20140619"> Template:Cite journal</ref><ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> However, on 19 June 2014, lowered confidence in confirming the cosmic inflation findings was reported.<ref name="PRL-20140619" /><ref name="NYT-20140619">Template:Cite newsTemplate:Cbignore</ref><ref name="BBC-20140619">Template:Cite news</ref>

  • 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.<ref name="nature-20150130">Template:Cite journal</ref>
  • 2018 – The final data and maps from the Planck telescope is released, with improved measurements of the polarization on large scales.<ref>Template:Cite journal</ref>
  • 2019 – Planck telescope analyses of their final 2018 data continue to be released.<ref>Template:Cite journal</ref>

In popular cultureEdit

  • 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.<ref>Template:Cite AV media</ref>
  • 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.<ref>Template:Cite book</ref>
  • 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.<ref>{{#invoke:citation/CS1|citation

|CitationClass=web }}</ref>

  • 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.<ref>{{#invoke:citation/CS1|citation

|CitationClass=web }}</ref>

  • In the 2021 Marvel series WandaVision, a mysterious television broadcast is discovered within the Cosmic Microwave Background.<ref>{{#invoke:citation/CS1|citation

|CitationClass=web }}</ref>

See alsoEdit

Template:Div col

Template:Div col end

NotesEdit

Template:Notelist

ReferencesEdit

Template:Reflist

Further readingEdit

External linksEdit

Template:Sister project Template:Sister project

|CitationClass=web }}

Template:CMB Template:Radio-astronomy Template:Cosmology topics Template:Relativity Template:Portal bar Template:Authority control