Hubbry Logo
Cosmic microwave backgroundCosmic microwave backgroundMain
Open search
Cosmic microwave background
Community hub
Cosmic microwave background
logo
8 pages, 0 posts
0 subscribers
Be the first to start a discussion here.
Be the first to start a discussion here.
Contribute something
Cosmic microwave background
Cosmic microwave background
from Wikipedia
Temperature map of the cosmic microwave background measured by the Planck spacecraft

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. Its total energy density exceeds that of all the photons emitted by all the stars in the history of the universe. 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 very smooth and uniform, but maps by sensitive detectors detect small but important temperature variations. Ground and space-based experiments such as COBE, WMAP and Planck have been used to measure these temperature inhomogeneities. The anisotropy structure is influenced by various interactions of matter and photons up to the point of decoupling, which results in a characteristic pattern of tiny ripples 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.

Features

[edit]
Graph of cosmic microwave background spectrum around its peak in the microwave frequency range,[1] as measured by the FIRAS instrument on the COBE.[2][3] 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 2.72548±0.00057 K.[4] 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.[5]

The radiation is remarkably uniform across the sky, very unlike the almost point-like structure of stars or clumps of stars in galaxies.[6] The radiation is isotropic to roughly one part in 25,000: the root mean square variations are just over 100 μK,[7] 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.[8] The CMB dipole and aberration at higher multipoles have been measured, consistent with galactic motion.[9] 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.[6]

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.[6]

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.[10]

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.[11]

The CMB contains the vast majority of photons in the universe by a factor of 400 to 1;[12]: 5  the number density of photons in the CMB is one billion times (109) the number density of matter in the universe. The total energy density of the CMB exceeds that of all the photons emitted by all the stars in the history of the universe.[13]: 69  Without the expansion of the universe to cause the cooling of the CMB, the night sky would shine as brightly as the Sun.[14] The energy density of the CMB is 0.260 eV/cm3 (4.17×10−14 J/m3), about 411 photons/cm3.[15]

History

[edit]

Early speculations

[edit]

In 1931, Georges Lemaître speculated that remnants of the early universe may be observable as radiation, but his candidate was cosmic rays.[16]: 140  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[17] they prepared for a paper by Alpher's PhD advisor George Gamow.[18] Alpher and Herman were able to estimate the temperature of the cosmic microwave background to be 5 K.[19]

Discovery

[edit]
The Holmdel Horn Antenna on which Penzias and Wilson discovered the cosmic microwave background.[20]

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.[21] 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.[22] 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.[20] On 20 May 1964 they made their first measurement clearly showing the presence of the microwave background,[23] 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."[24][25][26][16]: 140  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.[27]

Cosmic origin

[edit]

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.[28]

Progress on theory

[edit]

In the 1970s numerous studies showed that tiny deviations from isotropy in the CMB could result from events in the early universe.[28]: 8.5.1  Harrison,[29] Peebles and Yu,[30] and Zel'dovich[31] realized that the early universe would require quantum inhomogeneities that would result in temperature anisotropy at the level of 10−4 or 10−5.[28]: 8.5.3.2  Rashid Sunyaev, using the alternative name relic radiation, calculated the observable imprint that these inhomogeneities would have on the cosmic microwave background.[32]

COBE

[edit]

After a lull in the 1970s caused in part by the many experimental difficulties in measuring CMB at high precision,[28]: 8.5.1  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.[28]: 8.5.3.2 

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.[28]: 8.5.4  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.[33][34] The team received the Nobel Prize in physics for 2006 for this discovery.

Precision cosmology

[edit]

Inspired by the COBE results, a series of ground and balloon-based experiments measured cosmic microwave background anisotropies on smaller angular scales over the[which?] two decades. The sensitivity of the new experiments improved dramatically, with a reduction in internal noise by three orders of magnitude.[1] 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.[35] The first peak in the anisotropy was tentatively detected by the MAT/TOCO experiment[36] and the result was confirmed by the BOOMERanG[37] and MAXIMA experiments.[38] These measurements demonstrated that the geometry of the universe is approximately flat, rather than curved.[39] They ruled out cosmic strings as a major component of cosmic structure formation and suggested cosmic inflation was the right theory of structure formation.[40]

Observations after COBE

[edit]
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 Probe

[edit]

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.[41] 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.[42]

Degree Angular Scale Interferometer

[edit]

The Degree Angular Scale Interferometer (DASI) was a telescope installed at the U.S. National Science Foundation's Amundsen–Scott South Pole Station in Antarctica. It was a 13-element interferometer operating between 26 and 36 GHz (Ka band) in ten bands. The instrument is similar in design to the Cosmic Background Imager (CBI) and the Very Small Array (VSA).

In 2001 The DASI team announced the most detailed measurements of the temperature, or power spectrum of the cosmic microwave background (CMB). These results contained the first detection of the 2nd and 3rd acoustic peaks in the CMB, which were important evidence for inflation theory. This announcement was done in conjunction with the BOOMERanG and MAXIMA experiment.[43] In 2002 the team reported the first detection of polarization anisotropies in the CMB.[44]

Atacama Cosmology Telescope

[edit]
The Atacama Cosmology Telescope (ACT) was a cosmological millimeter-wave telescope located on Cerro Toco in the Atacama Desert in the north of Chile.[45] ACT made high-sensitivity, arcminute resolution, microwave-wavelength surveys of the sky in order to study the cosmic microwave background radiation (CMB), the relic radiation left by the Big Bang process. Located 40 km from San Pedro de Atacama, at an altitude of 5,190 metres (17,030 ft), it was one of the highest ground-based telescopes in the world.[a]

Planck Surveyor

[edit]

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.[47][48] 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 (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 13.799±0.021 billion years old and the Hubble constant was measured to be 67.74±0.46 (km/s)/Mpc.[49]

South Pole Telescope

[edit]
The South Pole Telescope (SPT) is a 10-metre (390 in) diameter telescope located at the Amundsen–Scott South Pole Station, Antarctica. The telescope is designed for observations in the microwave, millimeter-wave, and submillimeter-wave regions of the electromagnetic spectrum, with the particular design goal of measuring the faint, diffuse emission from the cosmic microwave background (CMB).[50] Key results include a wide and deep survey of discovering hundreds of clusters of galaxies using the Sunyaev–Zel'dovich effect, a sensitive 5 arcminute CMB power spectrum survey, and the first detection of B-mode polarized CMB.

Theoretical models

[edit]

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.[51] The discovery of the CMB in the mid-1960s curtailed interest in alternatives such as the steady state theory.[52]

In the Big Bang model for the formation of the universe, inflationary cosmology predicts that after about 10−37 seconds[53] 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.[54] 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.[55] 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.[56]

The color temperature of the ensemble of decoupled photons has continued to diminish ever since; now down to 2.7260±0.0013 K,[4] it will continue to drop as the universe expands. The intensity of the radiation 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[57][58] 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,[59] making up a fraction of roughly 6×10−5 of the total density of the universe.[60]

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.[61]

Predictions based on the Big Bang model

[edit]

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.[62]

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.[63] 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.[64] This epoch is generally known as the "time of last scattering" or the period of recombination or decoupling.[65]

Since decoupling, the color temperature of the background radiation has dropped by an average factor of 1,089[41] 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):[66]

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.[67][68]

Primary anisotropy

[edit]
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.[69] The third peak can be used to get information about the dark-matter density.[70]

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 ( values of the peaks) are roughly in the ratio 1 : 3 : 5 : ..., while adiabatic density perturbations produce peaks whose locations are in the ratio 1 : 2 : 3 : ...[71] Observations are consistent with the primordial density perturbations being entirely adiabatic, providing key support for inflation, and ruling out many models of structure formation involving, for example, cosmic strings.

Collisionless damping is caused by two effects, when the treatment of the primordial plasma as fluid begins to break down:

  • the increasing mean free path of the photons as the primordial plasma becomes increasingly rarefied in an expanding universe,
  • the finite depth of the last scattering surface (LSS), which causes the mean free path to increase rapidly during decoupling, even while some Compton scattering is still occurring.

These effects contribute about equally to the suppression of anisotropies at small scales and give rise to the characteristic exponential damping tail seen in the very small angular scale anisotropies.

The depth of the LSS refers to the fact that the decoupling of the photons and baryons does not happen instantaneously, but instead requires an appreciable fraction of the age of the universe up to that era. One method of quantifying how long this process took uses the photon visibility function (PVF). This function is defined so that, denoting the PVF by P(t), the probability that a CMB photon last scattered between time t and t + dt is given by P(t)dt.

The maximum of the PVF (the time when it is most likely that a given CMB photon last scattered) is known quite precisely. The first-year WMAP results put the time at which P(t) has a maximum as 372,000 years.[72] This is often taken as the "time" at which the CMB formed. However, to figure out how long it took the photons and baryons to decouple, we need a measure of the width of the PVF. The WMAP team finds that the PVF is greater than half of its maximal value (the "full width at half maximum", or FWHM) over an interval of 115,000 years.[72]: 179  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 anisotropy

[edit]

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.[73] The detailed provenance of this early ionizing radiation is still a matter of scientific debate. It may have included starlight from the very first population of stars (population III stars), supernovae when these first stars reached the end of their lives, or the ionizing radiation produced by the accretion disks of massive black holes.

The time following the emission of the cosmic microwave background—and before the observation of the first stars—is semi-humorously referred to by cosmologists as the Dark Age, and is a period which is under intense study by astronomers (see 21 centimeter radiation).

Two other effects which occurred between reionization and our observations of the cosmic microwave background, and which appear to cause anisotropies, are the Sunyaev–Zel'dovich effect, where a cloud of high-energy electrons scatters the radiation, transferring some of its energy to the CMB photons, and the Sachs–Wolfe effect, which causes photons from the Cosmic Microwave Background to be gravitationally redshifted or blueshifted due to changing gravitational fields.

Alternative theories

[edit]

The standard cosmology that includes the Big Bang "enjoys considerable popularity among the practicing cosmologists"[74]: 211  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.[74]: 245  As an example of the fine-tuning issue, standard cosmology cannot predict the present temperature of the relic radiation, .[74]: 229  This value of is one of the best results of experimental cosmology and the steady state model can predict it.[62] However, alternative models have their own set of problems and they have only made post-facto explanations of existing observations.[74]: 239  Nevertheless, these alternatives have played an important historic role in providing ideas for and challenges to the standard explanation.[12]

Polarization

[edit]
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).[75] 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-modes

[edit]

The E-modes arise from Thomson scattering in a heterogeneous plasma.[75] E-modes were first seen in 2002 by the Degree Angular Scale Interferometer (DASI).[76][77]

B-modes

[edit]

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.[78][79][80] However, gravitational lensing of the stronger E-modes can also produce B-mode polarization.[81][82] Detecting the original B-modes signal requires analysis of the contamination caused by lensing of the relatively strong E-mode signal.[83]

Primordial gravitational waves

[edit]

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.[79][84] While claims that this characteristic pattern of B-mode polarization had been measured by BICEP2 instrument[85] were later attributed to cosmic dust due to new results of the Planck experiment,[86][84]: 253  subsequent reanalysis with compensation for foreground dust show limits in agreement with results from Lambda-CDM models.[87]

Gravitational lensing

[edit]
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.[88] In October 2014, a measurement of the B-mode polarization at 150 GHz was published by the POLARBEAR experiment.[89] 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.[90]

Multipole analysis

[edit]
Example Multipole Power Spectrum. WMAP Data are represented as points, curves correspond to the best-fit LCDM model[73]

The CMB angular anisotropies are usually presented in terms of power per multipole.[91] The map of temperature across the sky, is written as coefficients of spherical harmonics, where the term measures the strength of the angular oscillation in , 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  Increasing values of correspond to higher multipole moments of CMB, meaning more rapid variation with angle.

CMBR monopole term ( = 0)

[edit]

The monopole term, = 0, is the constant isotropic mean temperature of the CMB, Tγ = 2.7255±0.0006 K[91] with one standard deviation confidence. This term must be measured with absolute temperature devices, such as the FIRAS instrument on the COBE satellite.[91]: 499 

CMBR dipole anisotropy ( = 1)

[edit]

CMB dipole represents the largest anisotropy, which is in the first spherical harmonic ( = 1), a cosine function. The amplitude of CMB dipole is around 3.3621±0.0010 mK.[91] 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,[91][92] which fits the observation done by COBE FIRAS.[92][93] The dipole moment does not encode any primordial information.

From the CMB data, it is seen that the Sun appears to be moving at 369.82±0.11 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 620±15 km/s in the direction of galactic longitude = 271.9°±, b = 30°±.[91] The dipole is now used to calibrate mapping studies.

Multipole ( ≥ 2)

[edit]

The temperature variation in the CMB temperature maps at higher multipoles, or ≥ 2, is considered to be the result of perturbations of the density in the early Universe, before the recombination epoch at a redshift of around z ⋍ 1100. 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.[91]

Anomalies

[edit]

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.[94][95][96] The most longstanding of these is the low- multipole controversy. Even in the COBE map, it was observed that the quadrupole ( = 2, spherical harmonic) has a low amplitude compared to the predictions of the Big Bang. In particular, the quadrupole and octupole ( = 3) modes appear to have an unexplained alignment with each other and with both the ecliptic plane and equinoxes.[97][98][99] 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.[100][101][102][103]

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.[104][41][105] 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.[106] Carefully accounting for the procedure used to remove the foregrounds from the full sky map further reduces the significance of the alignment by ~5%.[107][108][109][110] 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.[111] 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."[112]

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.[113] This difference is conflict with the cosmological principle.[114]

Future evolution

[edit]

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,[115] 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.[116]

Timeline of prediction, discovery and interpretation

[edit]

Thermal (non-microwave background) temperature predictions

[edit]
  • 1896 – Charles Édouard Guillaume estimates the "radiation of the stars" to be 5–6 K.[62][117]
  • 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".[62][118]
  • 1930s – Cosmologist Erich Regener calculates that the non-thermal spectrum of cosmic rays in the galaxy has an effective temperature of 2.8 K.[62]
  • 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.[119]
  • 1946 – George Gamow calculates a temperature of 50 K (assuming a 3-billion year old universe),[120] commenting it "... is in reasonable agreement with the actual temperature of interstellar space", but does not mention background radiation.[121]
  • 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.[122]

Microwave background radiation predictions and measurements

[edit]
[edit]
  • 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.[147]
  • 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.[148]
  • 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.[149]
  • 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.[150]
  • In the 2021 Marvel series WandaVision, a mysterious television broadcast is discovered within the Cosmic Microwave Background.[151]

See also

[edit]

Notes

[edit]

References

[edit]

Further reading

[edit]
[edit]
Revisions and contributorsEdit on WikipediaRead on Wikipedia
from Grokipedia
The cosmic microwave background (CMB) is the thermal remnant radiation from the , filling the nearly uniformly as microwave photons that originated approximately 380,000 years after the universe's inception, when electrons combined with protons to form neutral atoms and light decoupled from matter. This radiation provides a snapshot of the early universe's conditions, with its blackbody spectrum peaking at a of 2.725 K and exhibiting tiny temperature fluctuations on the order of 1 part in 100,000, which represent the seeds of large-scale . Discovered serendipitously in 1965 by Arno Penzias and Robert Wilson using a radio antenna at Bell Laboratories, the CMB was measured as an excess of about 3.5 K at 4.08 GHz, later confirmed to be isotropic cosmic radiation rather than local interference. Their finding, interpreted through the lens of Big Bang theory predicted earlier by and colleagues, provided pivotal evidence for an expanding universe from a hot, dense state. Subsequent measurements by NASA's Cosmic Background Explorer (COBE) in the refined the CMB's spectrum to a near-perfect blackbody form and detected its primary anisotropies, earning the 2006 for John Mather and . The CMB's uniformity across the sky underscores the universe's overall homogeneity on large scales; the dominant observed anisotropy is the dipole, arising from the Doppler effect due to the motion of the observer relative to the CMB rest frame, with the Local Group (including the Milky Way) moving at 600–627 km/s towards the constellations Leo and Centaurus, influenced by the Great Attractor and Shapley Supercluster. After accounting for this dipole, the remaining deviations are only ±30 μK, while its polarization patterns and power spectrum—mapped in exquisite detail by missions like NASA's (WMAP) and ESA's Planck, as well as ground-based experiments such as the —constrain cosmological parameters such as the Hubble constant, matter density, and content. Planck's 2013 and 2018 data releases and the 's 2025 analyses, for instance, affirmed a flat universe with total energy density Ω ≈ 1 and revealed subtle deviations hinting at extensions to the standard ΛCDM model. These observations not only validate inflationary cosmology but also probe fundamental physics, including neutrino masses and potential from the universe's earliest moments.

Fundamental Properties

Blackbody Spectrum and Temperature

The cosmic microwave background (CMB) consists of filling the , characterized by a nearly perfect blackbody that peaks in the frequency range between approximately 100 and 200 GHz. This arises from photons that were in with matter in the early and have since free-streamed after the epoch of recombination. Precise measurements of the CMB spectrum yield a blackbody temperature of T=2.72548±0.00057T = 2.72548 \pm 0.00057 , derived from a refined of data collected by the Absolute Spectrophotometer (FIRAS) instrument aboard the Cosmic Background Explorer (COBE) satellite. This value improves upon the initial FIRAS determination of 2.726±0.0102.726 \pm 0.010 , achieved through enhanced and foreground subtraction techniques applied to the full dataset. The CMB's spectral radiance adheres closely to for , expressed as B(ν,T)=2hν3c21exp(hν/kT)1,B(\nu, T) = \frac{2 h \nu^3}{c^2} \frac{1}{\exp(h \nu / k T) - 1}, where ν\nu is the , hh is Planck's constant, cc is the , kk is Boltzmann's constant, and TT is the temperature. FIRAS observations demonstrate that the measured intensity matches this functional form to better than 0.03% of the peak value over frequencies from 2 to 20 cm⁻¹, confirming the thermal nature of the radiation with extraordinary precision. Any deviations from an ideal blackbody, termed spectral distortions, are tightly constrained by the data. These include y-type distortions from in the later and μ-type distortions from energy injections during the early thermalization , with upper limits of y<1.5×105|y| < 1.5 \times 10^{-5} and μ<9×105|\mu| < 9 \times 10^{-5}, respectively—equivalent to fractional intensity changes ΔI/I<50\Delta I / I < 50 parts per million. Such stringent bounds indicate minimal energy transfer or dissipation processes perturbed the photon distribution after initial thermalization. The observed CMB temperature reflects the cooling of the early universe's photon plasma due to cosmic expansion since recombination, when the universe's temperature was approximately 3000 K at redshift z1090z \approx 1090. At that epoch, the plasma of electrons, protons, and photons reached thermal equilibrium sufficient for hydrogen recombination, decoupling the photons and imprinting the blackbody spectrum preserved to the present day.

Isotropy and Small-Scale Anisotropies

The cosmic microwave background (CMB) displays remarkable isotropy, with temperature uniform to within 1 part in 100,000 over the entire sky after accounting for the dipole anisotropy induced by our motion relative to the CMB rest frame. The root-mean-square (rms) temperature fluctuation is ΔT/T ≈ 10^{-5}, representing the tiny deviations from uniformity that encode information about the early universe. These fluctuations arise primarily from intrinsic density perturbations at the epoch of recombination, known as primary anisotropies, which originated on the surface of last scattering approximately 380,000 years after the . In contrast, secondary anisotropies develop later through post-recombination processes, such as gravitational lensing by intervening matter and the integrated Sachs-Wolfe effect, modifying the primary signal as photons travel to us. Anisotropies manifest on a range of angular scales, distinguishing large-scale patterns spanning degrees from small-scale features on arcminute resolutions. Large-scale anisotropies, corresponding to low multipoles (ℓ ≲ 100) and angular sizes of several degrees, primarily reflect super-horizon primordial fluctuations and the overall geometry of the universe. Small-scale anisotropies, at higher multipoles (ℓ ≳ 500) and sub-degree to arcminute scales, arise from acoustic oscillations in the early plasma and Silk damping, with secondary contributions becoming more prominent at the smallest scales. These variations are quantified through the angular power spectrum C_ℓ, which captures the amplitude of fluctuations as a function of angular scale. The CMB's statistical homogeneity underpins its isotropy, assuming the universe is uniform on large scales with rotationally invariant statistics. This is assessed via the two-point correlation function, ξ(θ) = ⟨ΔT(ŷ₁)ΔT(ŷ₂)⟩, which measures the average temperature covariance between directions separated by angle θ and decomposes into contributions from the power spectrum as ξ(θ) = ∑_ℓ (2ℓ + 1)/(4π) C_ℓ P_ℓ(cos θ), where P_ℓ are Legendre polynomials. For a statistically isotropic field, this function depends only on θ, enabling robust tests of homogeneity. The observed anisotropies serve as a map of the initial conditions for cosmic structure formation, with primary fluctuations acting as seeds for gravitational collapse that evolved into galaxies and large-scale structures under the influence of and .

Historical Development

Pre-Discovery Theoretical Predictions

The concept of a pervasive cosmic radiation field cooling with the expansion of the universe traces back to early 20th-century explorations of relativistic cosmology. In 1926, estimated the effective temperature of interstellar space due to the integrated starlight across the galaxy at approximately 3.18 K, noting that this radiation would dilute and cool in an expanding universe, providing an early qualitative hint toward a uniform background temperature. Although Eddington's calculation focused on stellar contributions rather than primordial relic radiation, it underscored the idea of a thermal equilibrium temperature pervading space in evolving cosmological models. Additionally, in 1941, Andrew McKellar analyzed absorption lines in interstellar CN molecules and inferred an excitation temperature of about 2.3 K, providing an early empirical indication of a pervasive low-temperature radiation field, though not interpreted cosmologically at the time. The modern theoretical prediction of the cosmic microwave background (CMB) emerged within the framework of the hot model in the late 1940s. George Gamow, building on calculations, anticipated a relic radiation field remaining from the early universe's hot, dense phase, estimating its current temperature at around 5 K based on the decoupling of photons during the epoch when the universe became transparent. This prediction arose from the need to explain the synthesis of light elements like helium, where the early universe's thermal conditions would leave behind a blackbody photon gas that expands and cools adiabatically with the universe's scale factor. Ralph Alpher and Robert Herman refined Gamow's ideas in their 1948 and 1949 publications, explicitly calculating the relic radiation's temperature as lying between 5 K and 10 K, depending on the assumed expansion history and matter-radiation coupling. They further specified that the radiation would peak in intensity at wavelengths of about 1 to 2 mm in the modern epoch, emphasizing its blackbody nature preserved by the universe's expansion. These estimates were derived within the Friedmann-Lemaître-Robertson-Walker (FLRW) metric, which describes a homogeneous, isotropic expanding universe and implies that a photon gas in initial thermal equilibrium maintains its blackbody spectrum while its temperature scales inversely with the scale factor, ensuring a uniform relic radiation field. Despite these detailed predictions, they were largely overlooked by the astronomical community for nearly two decades. The focus of Gamow, Alpher, and Herman's work was primarily on big bang nucleosynthesis and element abundances, with the relic radiation treated as a secondary byproduct rather than a directly testable feature. Moreover, radio astronomy in the 1940s and 1950s emphasized discrete sources at meter wavelengths, lacking the technology to detect a diffuse millimeter-wave background, and the Big Bang model itself faced competition from steady-state cosmology, diminishing interest in such predictions.

Discovery and Early Confirmations

In 1965, Arno Penzias and Robert Wilson, engineers at Bell Laboratories, were testing the 20-foot horn-reflector antenna at the Crawford Hill facility in Holmdel, New Jersey, designed for satellite communications, when they encountered an unexplained excess noise temperature of 3.5 ± 1.0 K at a frequency of 4080 MHz (wavelength 7.35 cm). This uniform signal persisted across all directions in the sky and did not vary with the Earth's rotation, suggesting a non-local origin. To investigate potential local interference, Penzias and Wilson meticulously ruled out terrestrial sources: they removed a pair of pigeons nesting in the antenna and cleaned the resulting droppings, which caused only a negligible drop in temperature; they verified that man-made signals from nearby and discrete radio sources produced no such isotropic effect; and they confirmed the antenna's low sensitivity to ground radiation through controlled transmitter tests. Additionally, comparisons with existing surveys at longer wavelengths, such as 74 cm where the minimum galactic temperature was about 16 K, indicated that the excess noise did not match the spectrum of known galactic or atmospheric emissions, further supporting its extragalactic nature. Independently, a team at led by Robert H. Dicke, including James Peebles, Peter G. Roll, and David T. Wilkinson, had theoretically predicted the existence of relic blackbody radiation from the early universe, with an expected temperature between 3 K and 20 K, based on . After Penzias consulted radio astronomer Bernard Burke, who alerted the Princeton group, Dicke and colleagues interpreted the Holmdel observation as this predicted cosmic radiation, leading to coordinated publications in the same issue of The Astrophysical Journal. Prompted by this development, Roll and Wilkinson conducted an expedited ground-based measurement in late 1965 using a Dicke radiometer at 3.2 cm wavelength (9360 MHz), yielding a temperature of 3.0 ± 0.5 K, which corroborated the initial finding and strengthened evidence for a cosmic blackbody spectrum. These early verifications, including multi-frequency consistency checks that excluded frequency-dependent local noise, solidified the signal's identification as uniform background radiation of extragalactic origin, sparking debates on its implications for cosmology versus alternative explanations like interstellar processes. For their serendipitous detection, Penzias and Wilson received the Nobel Prize in Physics in 1978, recognizing the discovery's pivotal role in confirming Big Bang theory; the key publications from 1965, including the joint Astrophysical Journal letters, remain foundational references amid initial interpretive discussions.

Key Observational Missions

The Cosmic Background Explorer (COBE), launched by NASA in 1989 and operational until 1993, marked the first major space-based effort to systematically measure the cosmic microwave background (CMB). Its Far Infrared Absolute Spectrophotometer (FIRAS) instrument precisely measured the CMB spectrum across a wide frequency range, confirming its near-perfect blackbody form with a thermodynamic temperature of T=2.7255±0.0006T = 2.7255 \pm 0.0006 K. The Differential Microwave Radiometer (DMR) on COBE produced the first all-sky maps of CMB temperature anisotropies, detecting fluctuations at the level of ΔT/T105\Delta T / T \sim 10^{-5} on angular scales of about 7 degrees, providing initial evidence for the seeds of large-scale structure in the universe. Building on COBE's foundation, the Wilkinson Microwave Anisotropy Probe (WMAP), launched in 2001 and concluding observations in 2010, delivered higher-resolution all-sky CMB maps at multiple frequencies from 23 to 94 GHz, enabling effective foreground subtraction and improved calibration. WMAP confirmed the CMB monopole temperature of 2.7255 K with a relative uncertainty of approximately 0.02% through cross-verification with ground-based measurements and refined its anisotropy maps to reveal finer details of the CMB's intrinsic variations. The Planck satellite, operated by the European Space Agency from 2009 to 2013, achieved the highest angular resolution and sensitivity to date for CMB observations, producing all-sky maps with approximately 50 million pixels (Nside=2048) for intensity and about 12.5 million for polarization (Nside=1024) at frequencies up to 857 GHz and including initial polarization measurements. Planck's data refined the blackbody spectrum confirmation and anisotropy detections from prior missions, with temperature fluctuation amplitudes consistent with ΔT/T105\Delta T / T \sim 10^{-5} but mapped at sub-degree scales. As of 2025, ongoing reanalyses of Planck's High Frequency Instrument data have incorporated advanced noise modeling and foreground mitigation techniques, yielding marginal improvements in map precision without altering core cosmological parameters. Complementing space-based efforts, ground-based telescopes in the 1990s and 2000s pioneered high-resolution CMB mapping from sites with low atmospheric interference, such as the Atacama Desert and the South Pole. The Cosmic Background Imager (CBI), deployed in Chile during the late 1990s, provided early interferometric measurements of CMB anisotropies on arcminute scales, confirming the rise in power at small angular scales predicted by inflationary models. The Degree Angular Scale Interferometer (DASI), operational in Antarctica from 2000, achieved the first clear detection of CMB polarization on degree scales, validating scalar perturbation origins for the observed signals. In the 2010s, the and extended these capabilities to arcminute resolutions, producing deep surveys that resolved thousands of CMB features and clusters via the thermal Sunyaev-Zel'dovich effect, enhancing constraints on cosmological parameters. In the 2020s, integrations of CMB data with large-scale galaxy surveys have improved calibration and reduced systematics through cross-correlations, such as those between Planck or SPT maps and the Dark Energy Spectroscopic Instrument (DESI) luminous red galaxy samples, yielding tighter bounds on the matter power spectrum amplitude by factors of up to 2-3. These efforts leverage mutual validation to mitigate foreground contaminations, with combined analyses from ACT, SPT, and DESI demonstrating enhanced precision in low-redshift cosmology probes as of 2025.

Theoretical Framework in Big Bang Cosmology

Origin as Relic Radiation

The cosmic microwave background (CMB) represents the thermal relic radiation from the hot, dense early universe following the . Approximately 380,000 years after the , when the universe reached a redshift of z1100z \approx 1100, its temperature had cooled to about 3000 K. At this epoch, the abundance of free electrons decreased as protons and electrons combined to form neutral hydrogen atoms in a process known as recombination. This transition marked the point at which the universe became neutral and transparent to photons, allowing them to decouple from the baryonic matter. Prior to recombination, photons were tightly coupled to the ionized plasma through frequent Thomson scattering, maintaining thermal equilibrium. As recombination proceeded, the Thomson scattering optical depth τ\tau dropped rapidly below unity (τ<1\tau < 1), transitioning the plasma from optically thick to optically thin conditions over a brief period. With scattering rates becoming negligible, the photons entered a free-streaming phase, propagating unimpeded through the expanding universe. In the free-streaming regime, the blackbody spectrum is preserved because the photon occupation number is conserved in phase space, with the temperature scaling as T ∝ 1/a due to cosmic expansion. The epoch of recombination thus defines the last scattering surface, a spherical shell at redshift z1100z \approx 1100 from which the observed CMB photons originate. These relic photons have free-streamed for nearly 13.8 billion years, the current age of the universe, during which cosmic expansion has redshifted their energies by a factor of roughly 1100. Originally in thermal equilibrium at 3000 K, the radiation has cooled accordingly, manifesting today as microwaves with a blackbody spectrum at 2.725 K. The extraordinary uniformity of the CMB, with relative temperature fluctuations of order 10510^{-5}, serves as compelling evidence for the high degree of homogeneity in the early plasma prior to recombination, consistent with the assumptions of Big Bang cosmology. This isotropy underscores the relic nature of the CMB as a snapshot of the thermal conditions at decoupling.

Generation of Temperature Fluctuations

The temperature fluctuations in the cosmic microwave background (CMB) originate from primordial scalar perturbations generated during cosmic inflation. In the inflationary paradigm, quantum vacuum fluctuations in the inflaton field are amplified by the rapid exponential expansion, producing scalar perturbations with an amplitude δφ ≈ H / (2π), where H is the Hubble parameter during inflation. These perturbations, initially quantum in nature, are stretched beyond the Hubble horizon, becoming classical and seeding the gravitational potential wells and overdensities that evolve into CMB anisotropies. The seminal calculations demonstrate that this mechanism yields a nearly scale-invariant spectrum of perturbations, consistent with the observed uniformity of the universe on large scales. On large angular scales (low multipoles, ℓ ≲ 10), the dominant contribution to CMB temperature fluctuations arises from the Sachs-Wolfe effect, where photons climbing out of potential wells at the epoch of recombination experience a gravitational redshift, resulting in ΔT / T ≈ (1/3) Φ, with Φ denoting the primordial gravitational potential. This ordinary Sachs-Wolfe effect assumes frozen potentials on super-horizon scales and captures the intrinsic temperature variations imprinted at recombination. In contrast, the integrated Sachs-Wolfe effect, which accounts for the line-of-sight evolution of potentials during photon propagation, becomes relevant on similar large scales but is distinguished by its sensitivity to late-time potential decay in accelerating universes; the two contributions are separated by scale, with the ordinary term dominating the primordial signal while the integrated term probes subsequent cosmological evolution. On smaller scales (higher multipoles, ℓ ≳ 10), the scalar perturbations drive acoustic oscillations in the tightly coupled photon-baryon fluid prior to recombination, manifesting as baryon acoustic oscillations (BAO) that compress and rarefy the plasma, producing characteristic peaks in the CMB power spectrum. These oscillations are damped on scales below ≈1 Mpc due to photon diffusion in the plasma, a process known as Silk damping, which exponentially suppresses power at small angular scales (ℓ ≳ 1000) by random-walking photons out of initial overdensities. The primordial power spectrum of these scalar perturbations, derived from inflation, takes the form P(k) ∝ k^{n_s - 4}, where k is the comoving wavenumber and n_s is the scalar spectral index; inflationary models predict a nearly Harrison-Zel'dovich spectrum with n_s ≈ 1, but Planck 2018 measurements yield n_s ≈ 0.965. However, as of 2025, measurements from ground-based experiments like ACT DR6 and SPT show n_s ≈ 0.97–0.975, creating a tension with Planck results that may indicate new physics or systematic effects. This indicates a slight red tilt consistent with slow-roll dynamics.

Integrated Sachs-Wolfe Effect

The Integrated Sachs-Wolfe (ISW) effect contributes secondary anisotropies to the cosmic microwave background (CMB) temperature through the time evolution of gravitational potentials along the photon path after recombination. Unlike the ordinary Sachs-Wolfe effect, which arises at the last scattering surface, the ISW effect accumulates as CMB photons traverse changing potentials due to the expansion of the universe. This results in a net blueshift or redshift of the photons, imprinting temperature fluctuations that are particularly prominent on large angular scales. The mathematical description of the ISW effect is given by the line-of-sight integral: ΔTT=2Φ˙dχ\frac{\Delta T}{T} = -2 \int \dot{\Phi} \, d\chi where ΔT/T\Delta T / T is the fractional temperature perturbation, Φ˙\dot{\Phi} is the time derivative of the gravitational potential Φ\Phi, and the integral is performed along the comoving distance χ\chi from recombination to the observer (in units where c=1c = 1). This formula captures the cumulative effect of potential decay, with the factor of -2 arising from the combined gravitational redshift and blueshift contributions in general relativity. The effect is negligible during the matter-dominated era when potentials are constant but becomes significant during transitions in the universe's expansion history. The ISW effect manifests in two distinct epochs: the early ISW, arising from the transition from radiation to matter domination at redshift z_eq ≈ 3400 (with contributions around recombination at z ≈ 1100), and the late ISW, dominant in the dark energy era at z < 1. The early ISW contributes to the overall CMB power spectrum at low multipoles by modulating potentials during horizon entry of perturbations. In contrast, the late ISW arises from the decay of potentials due to accelerated expansion, producing observable signals on degree scales. These components can be separated through their timing and impact on the CMB angular power spectrum. Distinguishing the ISW from the non-integrated (ordinary) Sachs-Wolfe effect relies on their characteristic angular scales and observational signatures. The ordinary Sachs-Wolfe effect dominates on scales corresponding to multipoles 10\ell \lesssim 10 (angular sizes 10\gtrsim 10^\circ), reflecting primordial potentials at recombination. The ISW, however, extends to slightly larger scales (10\gtrsim 10^\circ) and is isolated via cross-correlations with large-scale structure tracers, as it traces evolving potentials rather than static ones at last scattering. This separation is crucial for isolating secondary effects in CMB data. The late ISW effect correlates strongly with the distribution of galaxies and other large-scale structure, providing a direct probe of potential evolution. Cross-power spectra between CMB temperature maps and galaxy surveys, such as CTgC_\ell^{Tg}, reveal this correlation through the kernel involving the potential decay rate and galaxy bias. For instance, analyses using infrared galaxies trace voids and clusters where potentials decay, yielding detections at the 3.2σ level consistent with Λ\LambdaCDM expectations (amplitude AISW=0.96±0.30A_{\rm ISW} = 0.96 \pm 0.30). These correlations highlight the ISW's role in mapping dark energy-induced structure growth suppression. Observations from the Planck satellite have leveraged ISW-galaxy cross-correlations to constrain dark energy parameters. Combining Planck CMB data with surveys like NVSS and SDSS yields a detection significance of approximately 4σ, confirming the late ISW at the level predicted by Λ\LambdaCDM. These measurements provide bounds on the dark energy density to Ω_Λ ≈ 0.67 (68% CL: 0.49–0.78) and equation-of-state parameter to w ≈ -1.01 (with broad 68% CL: roughly -4.5 to -1.1 from ISW alone). Note that tighter constraints come from combined probes. Such constraints underscore the ISW's sensitivity to deviations from a cosmological constant, with no significant evidence for dynamical dark energy in standard models.

Alternative Models and Interpretations

Challenges from Steady State Theory

The steady-state theory of cosmology, independently formulated by and , and by in 1948, proposed an eternal universe that expands indefinitely while maintaining a constant average density through the continuous creation of matter. This model adhered to the perfect cosmological principle, asserting uniformity in space and time on large scales, and explicitly rejected any relic radiation from a hot, dense early phase, as the universe had no beginning or thermal origin. Instead, proponents anticipated a diffuse radio background arising from the integrated emissions of stars and galaxies across cosmic history, which would produce a smooth but non-thermal spectrum, far weaker than observed microwave levels and lacking the characteristic blackbody form. The serendipitous detection of the cosmic microwave background (CMB) in 1965 by Arno Penzias and Robert Wilson, using a sensitive horn antenna at Bell Laboratories, revealed an isotropic radiation field with a temperature of approximately 3.5 K and a near-perfect blackbody spectrum. This discovery posed a profound challenge to the steady-state model, as it required an ad hoc explanation for such uniform, thermal relic radiation—unpredictable within a framework of continuous matter creation and eternal equilibrium—while naturally aligning with Big Bang predictions of cooled photons from a primordial hot phase. Steady-state advocates, including Hoyle, initially dismissed the signal as local interference or instrumental artifact, but subsequent measurements confirmed its cosmic origin and thermal nature, rendering the model's core assumptions untenable without contrived adjustments like widespread interstellar absorption or exotic scattering mechanisms. In response, Fred Hoyle pursued alternative interpretations in the late 1960s and 1970s through plasma cosmology and later quasi-steady-state models, proposing that the CMB could result from local thermalization processes in interstellar plasma or scattering of starlight in an evolving but non-singular universe. These efforts aimed to preserve steady-state elements by attributing the radiation to ongoing galactic processes rather than a global relic, yet they struggled against the CMB's observed isotropy, dipole anisotropy due to our motion, and precise blackbody spectrum, which demanded fine-tuning incompatible with the model's simplicity. By the mid-1970s, accumulating evidence—including the CMB's uniformity and the evolutionary signatures in quasar and radio source counts—solidified the Big Bang paradigm's dominance, positioning the CMB as the definitive "smoking gun" against steady-state cosmology and in favor of an expanding, cooling universe.

Modern Non-Standard Cosmologies

Tired light theories propose that the redshift of distant light sources arises from progressive energy loss of photons en route, rather than from the expansion of space. In such models, the cosmic microwave background (CMB) would result from scattered or degraded starlight accumulating over cosmic distances, but this process inherently distorts the spectrum, failing to produce a perfect blackbody form. Observations, however, confirm the CMB's spectrum as an ideal blackbody at 2.725 K with extraordinary precision, directly contradicting tired light predictions and rendering the theory untenable. Cyclic and bouncing cosmologies offer alternatives where the universe avoids a singularity through repeated contractions and expansions, with the CMB emerging from quantum fluctuations or collisions in a prior phase. The ekpyrotic scenario, a string theory-inspired cyclic model, posits that the hot big bang follows a brane collision during an ekpyrotic contraction phase, generating primordial density perturbations with a nearly scale-invariant scalar power spectrum but a steeper blue-tilted tensor spectrum compared to standard inflation. This modified power spectrum aims to explain CMB anisotropies without invoking rapid early expansion, yet it predicts large local-type primordial non-Gaussianities (f_NL ≳ 5) and suppressed tensor modes with r ≪ 10^{-3}. Planck CMB data constrain ekpyrotic parameters severely through the observed near-Gaussian perturbations (f_NL = 0.8 ± 5.0 at 68% CL), requiring significant fine-tuning to match the acoustic peaks and ruling out much of the parameter space, while the general upper limit on the tensor-to-scalar ratio r < 0.036 (95% CL) from combined BICEP/Keck and Planck analyses is consistent with the model's predictions but does not provide additional severe restriction. Revisions to plasma cosmology interpret the CMB as arising from thermal bremsstrahlung in a pervasive intergalactic plasma or as Faraday rotation effects in cosmic magnetic fields, eschewing a big bang origin. These models emphasize electromagnetic processes over gravitational ones, suggesting the CMB's uniformity stems from plasma dynamics in a steady-state universe. However, they fail to account for the CMB's exceptional isotropy, as plasma interactions would imprint directional anisotropies from local magnetic fields and produce spectral distortions incompatible with the observed blackbody profile. High-resolution maps from missions like Planck reveal no such irregularities, undermining plasma cosmology's explanatory power. CMB observations impose rigorous constraints on non-standard cosmologies, demanding precise replication of the temperature and polarization power spectra, including the positions and amplitudes of acoustic peaks. Alternatives must fit within deviations of less than 5% from Planck's baseline measurements to remain viable, particularly in the scalar perturbation sector. Planck's full dataset, combined with ground-based experiments like ACT and SPT through 2024, further tightens bounds on non-Gaussianities (e.g., f_NL < 10 at 95% CL in trispectrum channels) and small-scale anisotropies, ruling out many parameter spaces for models like ekpyrotic or plasma revisions by highlighting mismatches in low-level non-Gaussianities and potential CMB anomalies such as the l=3-4 power excess, though these remain inconclusive for favoring alternatives. As of 2025, no modern non-standard cosmology fully reproduces the comprehensive Planck CMB dataset without invoking ad hoc adjustments that compromise theoretical consistency, leaving the ΛCDM framework as the dominant paradigm despite ongoing tensions in other observables.

Polarization Characteristics

E-Mode Polarization from Scalar Perturbations

The E-mode polarization in the cosmic microwave background (CMB) arises primarily from Thomson scattering of photons by free electrons during the epoch of recombination, when the universe transitioned from a plasma to neutral gas around redshift z ≈ 1100. This process generates linear polarization from the quadrupolar anisotropy in the photon temperature distribution at the last scattering surface, where the scattering optical depth drops below unity, allowing photons to free-stream toward us. The quadrupolar moment, induced by scalar density perturbations in the early universe, imprints a polarization pattern that is sensitive to the plasma's velocity gradients and the tight-coupling dynamics between photons and baryons before recombination. E-modes represent the curl-free component of this polarization, directly sourced by scalar gravitational potentials from primordial density fluctuations, in contrast to the curl (B-mode) patterns from tensor modes. In the standard ΛCDM model, the E-mode power spectrum CEEC_\ell^{EE} exhibits acoustic peaks due to baryon-photon oscillations, with the first prominent peak occurring at multipole moment 200\ell \approx 200, corresponding to angular scales of about 1 degree on the sky. This peak structure reflects the sound horizon at recombination and provides a clean probe of cosmological parameters like the baryon density and Hubble constant, with less contamination from late-time effects compared to temperature anisotropies. The temperature-E-mode cross-correlation power spectrum CTEC_\ell^{TE} further links these scalar-induced signals, showing anti-correlation at low \ell from the Sachs-Wolfe effect and oscillatory peaks that confirm the damping of by photon diffusion (Silk damping) on small scales. Observations of CTEC_\ell^{TE} enhance constraints on the sound speed and early-universe expansion history, as the cross-spectrum suppresses certain foregrounds and cosmic variance noise present in auto-spectra. The first detection of E-mode polarization came from the Degree Angular Scale Interferometer (DASI) in 2002, which measured the signal at 5σ significance on degree scales, consistent with predictions from scalar perturbations. Subsequent high-precision mapping by the Planck satellite in 2018 provided full-sky E-mode power spectra, enabling tight limits on the tensor-to-scalar ratio r<0.06r < 0.06 (95% confidence) when combined with temperature and TE data, ruling out significant primordial gravitational wave contributions at low scales. Overall, CMB polarization encodes approximately 10% of the total anisotropy information relative to temperature fluctuations but offers a cleaner window into primordial scalar signals, as it is less affected by integrated line-of-sight effects and diffusion , making it invaluable for precision cosmology.

B-Mode Polarization and Its Sources

B-mode polarization in the cosmic microwave background (CMB) refers to the curl-like, divergence-free component of the polarization field, distinct from the gradient-like E-mode. This pattern arises primarily from two sources: primordial tensor perturbations generated by quantum fluctuations during cosmic inflation, which produce gravitational waves, and secondary effects from gravitational lensing of the primary E-mode polarization by large-scale structure along the line of sight. Primordial B-modes offer a direct probe of the inflationary epoch, while lensing-induced B-modes serve as a contaminant that must be mitigated to detect the primordial signal. The amplitude of primordial B-modes is parameterized by the tensor-to-scalar ratio rr, which quantifies the relative power of tensor perturbations to scalar perturbations at the pivot scale k=0.05k = 0.05 Mpc1^{-1}. At low multipoles (100\ell \lesssim 100), the B-mode angular power spectrum from these tensor modes scales approximately as CBBrC_\ell^{BB} \propto r, rising toward large angular scales before falling due to Silk damping at higher \ell. A landmark claim of primordial B-mode detection came from the BICEP2 experiment in 2014, reporting r=0.160.05+0.06r = 0.16^{+0.06}_{-0.05} at 95% confidence from observations at degree scales. However, subsequent joint analysis with Planck data revealed that the signal was dominated by polarized thermal dust emission from the Galaxy, leading to a retraction of the primordial interpretation and an upper limit of r<0.05r < 0.05 at the time. Lensing-induced B-modes result from the deflection of CMB photon paths by gravitational potentials, which remaps E-mode patterns and generates a smaller-scale B-mode component through mode mixing. The power spectrum of these lensing B-modes is derived from the lensing convergence power spectrum CκκC_\ell^{\kappa\kappa}, which traces the integrated matter distribution, with the lensing potential ϕ\phi related to convergence κ122ϕ\kappa \approx -\frac{1}{2} \nabla^2 \phi. This secondary signal peaks at intermediate scales (1000\ell \sim 1000) and can be up to an order of magnitude larger than primordial B-modes for low rr, complicating searches. Current observational constraints on rr from B-mode measurements combine data from space- and ground-based experiments. A 2022 joint analysis of Planck PR4, BICEP/Keck 2018 data yielded a 95% confidence upper limit of r<0.032r < 0.032. Ground-based arrays like BICEP/Keck continue to refine these limits as of 2025, incorporating improved foreground cleaning and higher sensitivity, though no detection of primordial B-modes has been confirmed. To distinguish sources, techniques exploit parity properties: primordial tensor B-modes produce no E-B cross-correlation (CEB=0C_\ell^{EB} = 0) due to parity invariance, whereas lensing introduces a small but non-zero EB signal. For delensing, quadratic estimators reconstruct the lensing potential from observed CMB fields, enabling subtraction of the lensing B-mode contribution and tightening constraints on rr by up to 20-30%.

Multipole Expansion and Power Spectrum

Monopole and Dipole Contributions

The monopole term in the (CMB) angular power spectrum corresponds to the zeroth multipole moment (=0\ell=0), representing the spatially averaged temperature with no angular variation. This isotropic component sets the baseline CMB temperature at T=2.7255±0.0006T = 2.7255 \pm 0.0006 K, as determined from high-precision measurements. The monopole value directly constrains the photon number density and energy density of the radiation field, ργ=π215(kBT)4(c)3\rho_\gamma = \frac{\pi^2}{15} \frac{(k_B T)^4}{(\hbar c)^3}, where it contributes a fractional energy density Ωγh22.47×105\Omega_\gamma h^2 \approx 2.47 \times 10^{-5} to the present-day universe, reflecting the relic radiation from the early hot phase. The dipole anisotropy (=1\ell=1) dominates the large-angular-scale CMB temperature variations and originates from the Doppler boosting effect due to the observer's peculiar velocity relative to the CMB rest frame. The Solar System moves at v=369.82±0.11v = 369.82 \pm 0.11 km/s toward galactic coordinates (l,b)=(263.99,48.26)(l, b) = (263.99^\circ, 48.26^\circ), corresponding to the direction of the constellation Leo. This velocity reflects the motion of the Local Group (including the Milky Way) relative to the CMB rest frame, considered the best approximation to the rest frame of the Universe, with the Local Group moving at 600–627 km/s toward the constellations Leo and Centaurus, influenced by gravitational attractions from the Great Attractor and the Shapley Supercluster. This velocity induces a fractional temperature perturbation ΔT/T1.23×103\Delta T / T \approx 1.23 \times 10^{-3}, with the temperature higher in the direction of motion and cooler opposite to it. The dipole pattern is described by the formula ΔT(θ)T=vccosθ,\frac{\Delta T(\theta)}{T} = \frac{v}{c} \cos \theta, where θ\theta is the angle between the line of sight and the velocity vector, and cc is the speed of light; this kinematic effect is extracted from sky maps via hemispherical averaging or spherical harmonic decomposition to isolate the =1\ell=1 mode. The Cosmic Background Explorer (COBE) satellite's Differential Microwave Radiometer (DMR) provided the first definitive detection of the CMB dipole in 1992, measuring an amplitude of ΔT=3.353±0.001\Delta T = 3.353 \pm 0.001 mK consistent with the expected Doppler shift from our motion. This result aligns with the Solar System's velocity inferred from the local Hubble flow, confirming the kinematic origin without evidence for a primordial dipole component. However, recent observations from the Planck satellite suggest a potential cosmic dipole anomaly, where the dipole amplitude and direction exhibit discrepancies exceeding the standard kinematic expectations, possibly indicating an intrinsic large-scale asymmetry. For further details on this anomaly and its implications for cosmology, see Observed Anomalies and Tensions. To study finer-scale anisotropies, the measured dipole is subtracted from full-sky CMB maps, revealing the underlying statistical properties; in standard cosmology, the monopole exhibits no intrinsic fluctuations, as large-scale homogeneity precludes =0\ell=0 variations beyond the global average.

Higher-Order Multipoles and Acoustic Peaks

The temperature fluctuations in the cosmic microwave background (CMB) are quantified through the angular power spectrum CTTC_\ell^{TT}, defined as the average of the squared magnitudes of the spherical harmonic coefficients ama_{\ell m}, where the temperature map is expanded as ΔT(n^)/T=mamYm(n^)\Delta T(\hat{n}) / T = \sum_{\ell m} a_{\ell m} Y_{\ell m}(\hat{n}). Higher-order multipoles, corresponding to 2\ell \geq 2, probe small-scale anisotropies that encode the physics of the early universe plasma before recombination. These multipoles reveal a series of acoustic peaks in the power spectrum, arising from baryon-photon oscillations that imprint characteristic scales on the . The acoustic peaks exhibit an alternating pattern of odd and even parity, with odd peaks (corresponding to compression phases) enhanced relative to even peaks (rarefaction phases) due to baryon loading, which increases the plasma's inertia and amplifies compression modes while suppressing rarefactions. The position of the first acoustic peak, located at 220\ell \approx 220, directly measures the angular sound horizon θs=rs/dA0.01\theta_s = r_s / d_A \approx 0.01 radians, where rsr_s is the comoving sound horizon at recombination and dAd_A is the angular diameter distance to the last scattering surface; this scale reflects the distance sound waves traveled in the primordial plasma. Subsequent peaks provide further constraints on the baryon density and the overall geometry of the universe. At multipoles >1000\ell > 1000, the power spectrum transitions into a damping tail due to Silk damping, a diffusive process where random scattering of photons over a diffusion scale of approximately 0.1° suppresses power on smaller angular scales. In the Λ\LambdaCDM model, the positions and amplitudes of these acoustic peaks tightly constrain key cosmological parameters, such as the reduced Hubble constant h0.67h \approx 0.67 and the baryon density Ωbh20.022\Omega_b h^2 \approx 0.022, derived from fitting the observed spectrum. Observations from the (WMAP) first precisely mapped these features, enabling early determinations of parameters like Ωbh20.023\Omega_b h^2 \approx 0.023 and h0.70h \approx 0.70, while subsequent Planck measurements refined them to higher precision, confirming the standard model's success in describing the CMB anisotropies.

Observed Anomalies and Tensions

Observations of the (CMB) power spectrum reveal several statistical deviations from the expectations of the standard ΛCDM model, particularly at large angular scales corresponding to low multipoles (ℓ). One prominent anomaly is the low-ℓ power deficit, where the angular power spectrum CC_\ell is suppressed by approximately 10% for multipoles ℓ < 30 compared to ΛCDM predictions. This deficit, first noted in and confirmed by Planck, persists at about 3σ significance in the Planck 2018 temperature power spectrum analysis, suggesting potential new physics or foreground contamination, though no definitive explanation has emerged. Another notable feature is the hemispherical power asymmetry, characterized by a dipole modulation that leads to a power imbalance between the northern and southern galactic hemispheres. In Planck data, this asymmetry manifests as a ~3% difference in power on large scales (ℓ ≲ 60), with the effect linked to a modulation amplitude of order 0.07 in the dipole direction, aligning roughly with the CMB kinematic dipole. Recent reassessments using Planck PR4 maps confirm the asymmetry at ~2.5-3σ levels, primarily in temperature data, while polarization shows milder effects, prompting investigations into cosmic variance or instrumental systematics. A related large-scale anomaly is the cosmic dipole anomaly, characterized by a discrepancy in the observed CMB dipole's amplitude and direction compared to expectations from the standard kinematic Doppler effect due to our peculiar velocity of approximately 370 km/s. Planck analyses indicate an excess dipole amplitude suggesting an intrinsic component contributing up to 10% of the total, at around 3σ significance, with potential misalignment between the CMB dipole and the large-scale structure dipole. This anomaly challenges the cosmological principle of homogeneity and isotropy, potentially implying violations of the Copernican principle, a "lopsided" universe, or the need for extensions to the ΛCDM model such as primordial non-Gaussianities, modified gravity, or influences from local foregrounds like nearby galaxies. No consensus resolution has been reached, and it remains an active area of research with implications for our understanding of the current state of the universe. The alignment of the quadrupole (ℓ=2) and octupole (ℓ=3) moments with the ecliptic plane represents a further large-scale anomaly. In cleaned Planck maps, the preferred directions of these low multipoles exhibit an unusual coherence, with the quadrupole-octupole alignment occurring at better than 99% confidence relative to isotropic expectations, and their planes orthogonal to the ecliptic at levels inconsistent with Gaussian randomness. This "axis of evil" feature, quantified via multipole vector decompositions, holds at ~2-3σ in recent analyses, though kinetic dipole subtraction and mask choices can modulate its significance without fully resolving it. Beyond these directional anomalies, tensions arise between CMB-inferred parameters and local measurements, notably in the matter fluctuation amplitude σ₈ and the Hubble constant H₀. Planck CMB data yield σ₈ ≈ 0.81, implying stronger structure growth than the σ₈ ≈ 0.75 from weak lensing and galaxy clustering surveys like DESI, constituting a 2-3σ discrepancy that may signal modifications to gravity or dark energy. Similarly, the H₀ tension pits Planck's value of ~67 km/s/Mpc against local Cepheid-supernova measurements of ~73 km/s/Mpc, at >5σ, with CMB lensing and acoustic cross-correlations exacerbating the mismatch and hinting at early-universe physics beyond ΛCDM. As of 2025, these anomalies remain unresolved, with no consensus on their origins despite extensive null-hypothesis testing and simulations. Ongoing lensing reconstruction efforts, leveraging quadratic estimators on Planck and ACT data, probe non-Gaussianity in the convergence field to assess if anomalies stem from late-time effects like void lensing or primordial signals, yielding parameters consistent with Gaussianity at <2σ but highlighting biases from extragalactic foregrounds. Future missions like LiteBIRD aim to refine these tests through E-mode polarization, potentially distinguishing statistical flukes from fundamental deviations.

Future Evolution and Prospects

Cosmological Redshift of the CMB

In an expanding , the temperature of the cosmic microwave background (CMB) decreases inversely with the scale factor aa, following the relation T1/aT \propto 1/a. This cosmological arises because photons from the CMB lose as the universe expands, stretching their wavelengths proportionally to aa. As aa \to \infty in the asymptotic future dominated by dark energy, the CMB temperature TT approaches zero, rendering the radiation increasingly dilute and cold. The blackbody spectrum of the CMB is preserved under this , maintaining its Planck form despite the dilution. The peak wavelength shifts to values as λpeaka\lambda_{\rm peak} \propto a, moving from microwaves today into the radio regime and beyond in the distant . The of the CMB photons scales as ργ(1/a)4\rho_\gamma \propto (1/a)^4, reflecting both the redshift and volume expansion. This evolution ensures the CMB remains a thermal , though imperceptibly faint over cosmic timescales. Over long timescales, the CMB temperature will drop dramatically. In approximately 101210^{12} years, when the scale factor has grown by a factor of about 103010^{30}, the temperature will fall below 10410^{-4} , entering the sub-radio frequency range and becoming indistinguishable from the thermal noise of the de Sitter background. Further into the future, around 101410^{14} years, the redshifted 21 cm hyperfine transition line from neutral will dominate the low-frequency field, as the CMB continuum fades into negligible levels. These projections assume a flat Λ\LambdaCDM cosmology with eternal expansion driven by a . The associated with the CMB photons remains conserved, scaling as sγT3a3=s_\gamma \propto T^3 a^3 = constant, but its relative contribution to the total of the increases as and other components dilute. Currently, the CMB accounts for about 101510^{-15} of the total in the , a dominated by supermassive holes; however, as expansion proceeds, the CMB's share grows relative to non-relativistic , which has negligible per particle. Direct observation of the CMB will become impossible in the far future due to its extreme dilution and overlap with the de horizon's intrinsic , approximately 10[30](/page/30)10^{-[30](/page/-30-)} K. Nonetheless, the CMB's evolution carries implications for the fate of ; in models with a positive , the eternal expansion ensures the CMB asymptotically vanishes, while phantom dark energy scenarios could lead to a , accelerating the beyond these projections. No current or near-term experiments can probe these epochs, but theoretical models highlight the CMB as a tracer of late-time cosmology.

Planned Experiments and Technological Advances

Several upcoming space-based missions are poised to advance CMB polarization measurements, particularly targeting primordial B-mode signals indicative of cosmic . The LiteBIRD , led by with international collaboration, is scheduled for launch in the early and will survey over 70% of the sky at 15 frequency bands between 34 and 448 GHz, aiming for a tensor-to-scalar ratio sensitivity of r < 0.001—nearly two orders of magnitude improvement over current limits from Planck. This mission employs advanced half-wave plates and superconducting detectors to mitigate systematics and foregrounds. Conceptual studies for next-generation missions, evolving from the CMBPol framework, such as the NASA Probe of and Cosmic Origins (PICO), propose even broader frequency coverage (20-800 GHz) and higher to probe models and physics, though these remain in early development phases as of 2025. Ground-based observatories are also advancing rapidly, with the Simons Observatory (SO) entering full operations in 2025 after achieving first light on its Large Aperture Telescope in February 2025. Located in Chile's , SO features three telescopes with over 60,000 bolometers across six frequencies (27-270 GHz), enabling delensing of gravitational lensing effects and studies of the Sunyaev-Zel'dovich effect in galaxy clusters to depths 10 times beyond Planck. The CMB Stage 4 (CMB-S4) project, intended for late-2020s deployment at the and Atacama sites with 500,000 detectors for r < 0.001 sensitivity, faced cancellation of U.S. funding by NSF and DOE in July 2025 due to infrastructure challenges, though international partnerships may sustain scaled efforts. The QUBIC experiment, a ground-based bolometric interferometer in , is progressing toward observations in 2026-2027, using synthetic imaging to directly measure B-modes from primordial with reduced foreground contamination. Balloon-borne platforms continue to bridge gaps in suborbital testing of polarization technologies. The E and B Experiment (EBEX) and Sub-degree Probe for Inflation, Dust, and E-modes () have informed designs through prior flights, with 's 2022 data analysis yielding new constraints on dust foregrounds as of 2025; future re-flights are under consideration to refine large-scale polarization maps. These missions leverage long-duration flights at 40 km altitude for low , paving the way for space missions. Technological innovations underpin these efforts, including large-format bolometer arrays with superconducting transition-edge sensors achieving noise equivalent powers below 10^{-17} W/√Hz for multi-frequency detection. Foreground cleaning has advanced via multi-frequency component separation techniques like the Needlet Internal (NILC) method, which suppresses galactic dust and emissions by up to 90% while preserving CMB signals. approaches, such as convolutional neural networks (CNNs) for map-making and GANs for beam and foreground subtraction, are emerging to handle complex time-ordered data, improving reconstruction accuracy by 20-50% in simulations compared to traditional methods. These initiatives aim to resolve key cosmological tensions, such as the Hubble constant (H0) discrepancy by cross-correlating with large-scale structure surveys, detect the sum of masses below 0.06 eV, and constrain inflationary models through B-mode detection. As of November 2025, funding remains robust for LiteBIRD ( Phase A complete) and SO (operational, conducting initial observations), while CMB-S4's cancellation has shifted focus to international collaborations.

References

Add your contribution
Related Hubs
Contribute something
User Avatar
No comments yet.