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Hercules–Corona Borealis Great Wall

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The Hercules–Corona Borealis Great Wall (HCB) or simply the Great Wall is a galaxy filament that is the largest known structure in the observable universe , measuring approximately 10 billion light-years in length (the observable universe is about 93 billion light-years in diameter). This massive superstructure is a region of the sky seen in the data set mapping of gamma-ray bursts (GRBs) that has been found to have a concentration of similarly distanced GRBs that is unusually higher than the expected average distribution. It was discovered in early November 2013 by a team of American and Hungarian astronomers led by István Horváth, Jon Hakkila and Zsolt Bagoly while analyzing data from the Swift Gamma-Ray Burst Mission , together with other data from ground-based telescopes. It is the largest known formation in the universe, exceeding the size of the Huge-LQG by about a factor of two.

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77-526: The overdensity lies at the Second, Third and Fourth Galactic Quadrants (NGQ2, NGQ3 and NGQ4) of the sky. Thus, it lies in the Northern Hemisphere, centered on the border of the constellations Draco and Hercules . The entire clustering consists of around 19 GRBs with the redshift ranges between 1.6 and 2.1. Typically, the distribution of GRBs in the universe appears in the sets of less than

154-451: A dimensionless quantity called z . If λ represents wavelength and f represents frequency (note, λf = c where c is the speed of light ), then z is defined by the equations: After z is measured, the distinction between redshift and blueshift is simply a matter of whether z is positive or negative. For example, Doppler effect blueshifts ( z < 0 ) are associated with objects approaching (moving closer to)

231-426: A gamma ray perceived as an X-ray , or initially visible light perceived as radio waves . Subtler redshifts are seen in the spectroscopic observations of astronomical objects, and are used in terrestrial technologies such as Doppler radar and radar guns . Other physical processes exist that can lead to a shift in the frequency of electromagnetic radiation, including scattering and optical effects ; however,

308-610: A radio map of the Galaxy based on Star Trek ' s quadrants, joking that "the CGPS is primarily concerned with Cardassians , while the SGPS (Southern Galactic Plane Survey) focuses on Romulans ". "Galactic quadrants" within Star Wars canon astrography map depicts a top-down view of the galactic disk, with "Quadrant A" (i.e. "north") as the side of the galactic center that Coruscant

385-494: A ( t ) in the whole period from emission to absorption." If the universe were contracting instead of expanding, we would see distant galaxies blueshifted by an amount proportional to their distance instead of redshifted. In the theory of general relativity , there is time dilation within a gravitational well. This is known as the gravitational redshift or Einstein Shift . The theoretical derivation of this effect follows from

462-442: A clustering was p=0.0000055. It is later reported in the paper that the clustering may be associated with a previously unknown supermassive structure. The authors of the paper concluded that a structure was the possible explanation of the clustering, but they never associated any name with it. Hakkila stated that "During the process, we were more concerned with whether it was real or not." The term "Hercules–Corona Borealis Great Wall"

539-528: A lower frequency. A more complete treatment of the Doppler redshift requires considering relativistic effects associated with motion of sources close to the speed of light. A complete derivation of the effect can be found in the article on the relativistic Doppler effect . In brief, objects moving close to the speed of light will experience deviations from the above formula due to the time dilation of special relativity which can be corrected for by introducing

616-449: A qualitative characterization of a redshift. For example, if a Sun-like spectrum had a redshift of z = 1 , it would be brightest in the infrared (1000nm) rather than at the blue-green(500nm) color associated with the peak of its blackbody spectrum, and the light intensity will be reduced in the filter by a factor of four, (1 + z ) . Both the photon count rate and the photon energy are redshifted. (See K correction for more details on

693-428: A single emission or absorption line. By measuring the broadening and shifts of the 21-centimeter hydrogen line in different directions, astronomers have been able to measure the recessional velocities of interstellar gas , which in turn reveals the rotation curve of our Milky Way. Similar measurements have been performed on other galaxies, such as Andromeda . As a diagnostic tool, redshift measurements are one of

770-522: A wide scatter from the standard Hubble Law . The resulting situation can be illustrated by the Expanding Rubber Sheet Universe , a common cosmological analogy used to describe the expansion of the universe. If two objects are represented by ball bearings and spacetime by a stretching rubber sheet, the Doppler effect is caused by rolling the balls across the sheet to create peculiar motion. The cosmological redshift occurs when

847-442: Is p =0.0000055. The team also used a bootstrapping statistic to determine the number of GRBs within a preferred angular area of the sky. The test showed that the 15–25% of the sky identified for group 4 contains significantly more GRBs than similar circles at other GRB redshifts. When the area is chosen to be 0.1125 × 4 π , 14 GRBs out of the 31 lie inside the circle. When the area is chosen to be 0.2125 × 4 π , 19 GRBs out of

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924-454: Is p =0.057, or 5.7%, which is not statistically significant. Using nearest neighbor statistics, a similar test to the 2D K–S test; 21 consecutive probabilities in group 4 reach the 2 σ limit and 9 consecutive comparisons reach the 3 σ limit. One can calculate binomial probabilities. For example, 14 out of the 31 GRBs in this redshift band are concentrated in approximately one eighth of the sky. The binomial probability of finding this deviation

1001-443: Is commonly attributed to stretching of the wavelengths of photons propagating through the expanding space. This interpretation can be misleading, however; expanding space is only a choice of coordinates and thus cannot have physical consequences. The cosmological redshift is more naturally interpreted as a Doppler shift arising due to the recession of distant objects. The observational consequences of this effect can be derived using

1078-418: Is composed of two orthogonal angular coordinates, the team used this methodology. The above table shows the results of the 2D K–S test of the nine GRB subsamples. For example, the difference between group 1 and group 2 is 9 points. Values greater than 2 σ (significant values equal to or greater than 14) are italicized and colored in yellow background. Note the six significant values in group 4. The results of

1155-645: Is located on. As the capital planet of the Republic and later the Empire, Coruscant is used as the reference point for galactic astronomy, set at XYZ coordinates 0-0-0. Standardized galactic time measurements are also based on Coruscant's local solar day and year. The Imperium of Man's territory in the Milky Way Galaxy in Warhammer 40,000 is divided into five zones, known as "segmentae". Navigation in

1232-439: Is not moving away from the observer. Even when the source is moving towards the observer, if there is a transverse component to the motion then there is some speed at which the dilation just cancels the expected blueshift and at higher speed the approaching source will be redshifted. In the earlier part of the twentieth century, Slipher, Wirtz and others made the first measurements of the redshifts and blueshifts of galaxies beyond

1309-606: Is not required. The effect is very small but measurable on Earth using the Mössbauer effect and was first observed in the Pound–Rebka experiment . However, it is significant near a black hole , and as an object approaches the event horizon the red shift becomes infinite. It is also the dominant cause of large angular-scale temperature fluctuations in the cosmic microwave background radiation (see Sachs–Wolfe effect ). The redshift observed in astronomy can be measured because

1386-657: Is not unlike the system used by astronomers. However, rather than have the perpendicular axis run through the Sun, as is done in astronomy, the Star Trek version runs the axis through the galactic center. In that sense, the Star Trek quadrant system is less geocentric as a cartographical system than the standard. Also, rather than use ordinals, Star Trek designates them by the Greek letters Alpha , Beta , Gamma , and Delta . The Canadian Galactic Plane Survey (CGPS) created

1463-417: Is the present-day Hubble constant , and z is the redshift. There are several websites for calculating various times and distances from redshift, as the precise calculations require numerical integrals for most values of the parameters. For cosmological redshifts of z < 0.01 additional Doppler redshifts and blueshifts due to the peculiar motions of the galaxies relative to one another cause

1540-425: Is used instead. Redshifts cannot be calculated by looking at unidentified features whose rest-frame frequency is unknown, or with a spectrum that is featureless or white noise (random fluctuations in a spectrum). Redshift (and blueshift) may be characterized by the relative difference between the observed and emitted wavelengths (or frequency) of an object. In astronomy, it is customary to refer to this change using

1617-461: The Doppler effect . Consequently, this type of redshift is called the Doppler redshift . If the source moves away from the observer with velocity v , which is much less than the speed of light ( v ≪ c ), the redshift is given by where c is the speed of light . In the classical Doppler effect, the frequency of the source is not modified, but the recessional motion causes the illusion of

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1694-588: The Friedmann–Lemaître equations . They are now considered to be strong evidence for an expanding universe and the Big Bang theory. The spectrum of light that comes from a source (see idealized spectrum illustration top-right) can be measured. To determine the redshift, one searches for features in the spectrum such as absorption lines , emission lines , or other variations in light intensity. If found, these features can be compared with known features in

1771-595: The Lorentz factor γ into the classical Doppler formula as follows (for motion solely in the line of sight): This phenomenon was first observed in a 1938 experiment performed by Herbert E. Ives and G.R. Stilwell, called the Ives–Stilwell experiment . Since the Lorentz factor is dependent only on the magnitude of the velocity, this causes the redshift associated with the relativistic correction to be independent of

1848-681: The Milky Way . They initially interpreted these redshifts and blueshifts as being due to random motions, but later Lemaître (1927) and Hubble (1929), using previous data, discovered a roughly linear correlation between the increasing redshifts of, and distances to, galaxies. Lemaître realized that these observations could be explained by a mechanism of producing redshifts seen in Friedmann's solutions to Einstein's equations of general relativity . The correlation between redshifts and distances arises in all expanding models. This cosmological redshift

1925-465: The Schwarzschild geometry : In terms of escape velocity : for v e ≪ c {\displaystyle v_{\text{e}}\ll c} If a source of the light is moving away from an observer, then redshift ( z > 0 ) occurs; if the source moves towards the observer, then blueshift ( z < 0 ) occurs. This is true for all electromagnetic waves and is explained by

2002-463: The Schwarzschild solution of the Einstein equations which yields the following formula for redshift associated with a photon traveling in the gravitational field of an uncharged , nonrotating , spherically symmetric mass: where This gravitational redshift result can be derived from the assumptions of special relativity and the equivalence principle ; the full theory of general relativity

2079-722: The brightness of astronomical objects through certain filters . When photometric data is all that is available (for example, the Hubble Deep Field and the Hubble Ultra Deep Field ), astronomers rely on a technique for measuring photometric redshifts . Due to the broad wavelength ranges in photometric filters and the necessary assumptions about the nature of the spectrum at the light-source, errors for these sorts of measurements can range up to δ z = 0.5 , and are much less reliable than spectroscopic determinations. However, photometry does at least allow

2156-451: The emission and absorption spectra for atoms are distinctive and well known, calibrated from spectroscopic experiments in laboratories on Earth. When the redshift of various absorption and emission lines from a single astronomical object is measured, z is found to be remarkably constant. Although distant objects may be slightly blurred and lines broadened, it is by no more than can be explained by thermal or mechanical motion of

2233-406: The frequency and photon energy , of electromagnetic radiation (such as light ). The opposite change, a decrease in wavelength and increase in frequency and energy, is known as a blueshift , or negative redshift. The terms derive from the colours red and blue which form the extremes of the visible light spectrum . The main causes of electromagnetic redshift in astronomy and cosmology are

2310-584: The galactic coordinate system , which places the Sun as the pole of the mapping system . The Sun is used instead of the Galactic Center for practical reasons since all astronomical observations (by humans ) to date have been based on Earth or within the Solar System . Quadrants are described using ordinals —for example, "1st galactic quadrant", "second galactic quadrant", or "third quadrant of

2387-453: The southern hemisphere . Thus, it is usually more practical for amateur stargazers to use the celestial quadrants . Nonetheless, cooperating or international astronomical organizations are not so bound by the Earth's horizon . Based on a view from Earth, one may look towards major constellations for a rough sense of where the borders of the quadrants are: (Note: by drawing a line through

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2464-463: The 283 GRBs into nine groups in sets of 31 GRBs. At least three different methods have been used to reveal the significance of the clustering. The Kolmogorov–Smirnov test (K–S test) is a nonparametric test of the equality of continuous, one-dimensional probability distributions that can be used to compare a sample with a reference probability distribution (one-sample K–S test), or to compare two samples (two-sample K–S test), thus, it can be used to test

2541-498: The 2σ distribution, or with less than two GRBs in the average data of the point-radius system. One possible explanation of this concentration is the Hercules–Corona Borealis Great Wall. The wall has a mean size in excess of 2 billion to 3 billion parsecs (6 to 10 billion light-years). Such a supercluster can explain the significant distribution of GRBs because of its tie to star formation. Doubt has been placed on

2618-416: The 31 lie inside the circle. When the area is chosen to be 0.225 × 4 π , 20 GRBs out of the 31 lie inside the circle. In this last case only 7 out of the 4,000 bootstrap cases had 20 or more GRBs inside the circle. This result is, therefore, a statistically significant ( p =0.0018) deviation (the binomial probability for this being random is less than 10). The team built statistics for this test by repeating

2695-502: The Earth. In 1901, Aristarkh Belopolsky verified optical redshift in the laboratory using a system of rotating mirrors. Arthur Eddington used the term "red-shift" as early as 1923, although the word does not appear unhyphenated until about 1934, when Willem de Sitter used it. Beginning with observations in 1912, Vesto Slipher discovered that most spiral galaxies , then mostly thought to be spiral nebulae , had considerable redshifts. Slipher first reported on his measurement in

2772-425: The Galaxy". Viewing from the north galactic pole with 0 degrees (°) as the ray that runs starting from the Sun and through the galactic center, the quadrants are as follows (where l is galactic longitude ): Due to the orientation of the Earth to the rest of the galaxy, the 2nd galactic quadrant is primarily only visible from the northern hemisphere while the 4th galactic quadrant is mostly only visible from

2849-708: The Milky Way is also identified with cardinal directions, indicating distance from the Sol System: for example, Ultima Segmentum, the largest segmentum in the Imperium of Man, is located to the galactic east of the Sol System. The 0° "north" in Imperial maps does not correspond to the 0° in the real-world. Redshift In physics , a redshift is an increase in the wavelength , and corresponding decrease in

2926-406: The ball bearings are stuck to the sheet and the sheet is stretched. The redshifts of galaxies include both a component related to recessional velocity from expansion of the universe, and a component related to peculiar motion (Doppler shift). The redshift due to expansion of the universe depends upon the recessional velocity in a fashion determined by the cosmological model chosen to describe

3003-472: The comparisons of the distributions of the nine subsamples. However, the K–S test can only be used for one dimensional data—it cannot be used for sets of data involving two dimensions such as the clustering. However, a 1983 paper by J. A. Peacock suggests that one should use all four possible orderings between ordered pairs to calculate the difference between the two distributions. Since the sky distribution of any object

3080-407: The equations from general relativity that describe a homogeneous and isotropic universe . The cosmological redshift can thus be written as a function of a , the time-dependent cosmic scale factor : In an expanding universe such as the one we inhabit, the scale factor is monotonically increasing as time passes, thus, z is positive and distant galaxies appear redshifted. Using a model of

3157-456: The existence of the structure in other studies, positing that the structure was found through biases in certain statistical tests, without considering the full effects of extinction. A 2020 paper (by the original group of discoverers and others) says that their analysis of the most reliable current dataset supports the structure's existence, but that the THESEUS satellite will be needed to decide

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3234-435: The expansion of the universe, redshift can be related to the age of an observed object, the so-called cosmic time –redshift relation . Denote a density ratio as Ω 0 : with ρ crit the critical density demarcating a universe that eventually crunches from one that simply expands. This density is about three hydrogen atoms per cubic meter of space. At large redshifts, 1 + z > Ω 0 , one finds: where H 0

3311-403: The expansion of the universe, which is very different from how Doppler redshift depends upon local velocity. Describing the cosmological expansion origin of redshift, cosmologist Edward Robert Harrison said, "Light leaves a galaxy, which is stationary in its local region of space, and is eventually received by observers who are stationary in their own local region of space. Between the galaxy and

3388-454: The first known physical explanation for the phenomenon in 1842. In 1845, the hypothesis was tested and confirmed for sound waves by the Dutch scientist Christophorus Buys Ballot . Doppler correctly predicted that the phenomenon would apply to all waves and, in particular, suggested that the varying colors of stars could be attributed to their motion with respect to the Earth. Before this

3465-466: The following, one can also approximate the galactic equator .) A long tradition of dividing the visible skies into four precedes the modern definitions of four galactic quadrants. Ancient Mesopotamian formulae spoke of "the four corners of the universe" and of "the heaven's four corners", and the Biblical Book of Jeremiah echoes this phraseology: "And upon Elam will I bring the four winds from

3542-530: The four quarters of heaven" (Jeremiah, 49:36). Astrology too uses quadrant systems to divide up its stars of interest. The astronomy of the location of constellations sees each of the Northern and Southern celestial hemispheres divided into four quadrants. "Galactic quadrants" within Star Trek are based around a meridian that runs from the center of the Galaxy through Earth's Solar System , which

3619-403: The full form for the relativistic Doppler effect becomes: and for motion solely in the line of sight ( θ = 0° ), this equation reduces to: For the special case that the light is moving at right angle ( θ = 90° ) to the direction of relative motion in the observer's frame, the relativistic redshift is known as the transverse redshift , and a redshift: is measured, even though the object

3696-486: The inaugural volume of the Lowell Observatory Bulletin . Three years later, he wrote a review in the journal Popular Astronomy . In it he stated that "the early discovery that the great Andromeda spiral had the quite exceptional velocity of –300 km(/s) showed the means then available, capable of investigating not only the spectra of the spirals but their velocities as well." Slipher reported

3773-491: The most important spectroscopic measurements made in astronomy. The most distant objects exhibit larger redshifts corresponding to the Hubble flow of the universe . The largest-observed redshift, corresponding to the greatest distance and furthest back in time, is that of the cosmic microwave background radiation; the numerical value of its redshift is about z = 1089 ( z = 0 corresponds to present time), and it shows

3850-474: The most reliable current dataset supports the structure's existence, but that the THESEUS satellite will be needed to decide the question conclusively. Galactic quadrant A galactic quadrant , or quadrant of the Galaxy , is one of four circular sectors in the division of the Milky Way Galaxy. In actual astronomical practice, the delineation of the galactic quadrants is based upon

3927-500: The number 18 twenty-eight times and numbers larger than 18 ten times, so the probability of having numbers larger than 17 is 0.095%. The probability of having numbers larger than 16 is p =0.0029, of having numbers larger than 15 is p =0.0094, and of having numbers larger than 14 is p =0.0246. For a random distribution, this means that numbers larger than 14 correspond to 2 σ deviations and numbers larger than 16 correspond to 3 σ deviations. The probability of having numbers larger than 13

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4004-449: The observer with the light shifting to greater energies . Conversely, Doppler effect redshifts ( z > 0 ) are associated with objects receding (moving away) from the observer with the light shifting to lower energies. Likewise, gravitational blueshifts are associated with light emitted from a source residing within a weaker gravitational field as observed from within a stronger gravitational field, while gravitational redshifting implies

4081-410: The observer, light travels through vast regions of expanding space. As a result, all wavelengths of the light are stretched by the expansion of space. It is as simple as that..." Steven Weinberg clarified, "The increase of wavelength from emission to absorption of light does not depend on the rate of change of a ( t ) [the scale factor ] at the times of emission or absorption, but on the increase of

4158-439: The opposite conditions. In general relativity one can derive several important special-case formulae for redshift in certain special spacetime geometries, as summarized in the following table. In all cases the magnitude of the shift (the value of z ) is independent of the wavelength. For motion completely in the radial or line-of-sight direction: For motion completely in the transverse direction: Hubble's law : For

4235-400: The orientation of the source movement. In contrast, the classical part of the formula is dependent on the projection of the movement of the source into the line-of-sight which yields different results for different orientations. If θ is the angle between the direction of relative motion and the direction of emission in the observer's frame (zero angle is directly away from the observer),

4312-525: The photometric consequences of redshift.) In nearby objects (within our Milky Way galaxy) observed redshifts are almost always related to the line-of-sight velocities associated with the objects being observed. Observations of such redshifts and blueshifts have enabled astronomers to measure velocities and parametrize the masses of the orbiting stars in spectroscopic binaries , a method first employed in 1868 by British astronomer William Huggins . Similarly, small redshifts and blueshifts detected in

4389-507: The precise movements of the photosphere of the Sun . Redshifts have also been used to make the first measurements of the rotation rates of planets , velocities of interstellar clouds , the rotation of galaxies , and the dynamics of accretion onto neutron stars and black holes which exhibit both Doppler and gravitational redshifts. The temperatures of various emitting and absorbing objects can be obtained by measuring Doppler broadening —effectively redshifts and blueshifts over

4466-514: The process a large number of times (ten thousand). From the ten thousand Monte Carlo runs they selected the largest number of bursts found within the angular circle. Results show that only 7 out of the 4,000 bootstrap cases have 20 GRBs in a preferred angular circle. Some studies have cast doubt on the existence of the HCB. A study in 2016 found that the observed distribution of GRBs was consistent with what could be derived from Monte Carlo simulations, but

4543-473: The question conclusively. The overdensity was discovered using data from different space telescopes operating at gamma-ray and X-ray wavelengths, plus some data from ground-based telescopes. By the end of 2012 they successfully recorded 283 GRBs and measured their redshifts spectroscopically. They subdivided them to different group subsamples of different redshifts, initially with five groups, six groups, seven groups and eight groups, but each group division in

4620-411: The redshift, one has to know the wavelength of the emitted light in the rest frame of the source: in other words, the wavelength that would be measured by an observer located adjacent to and comoving with the source. Since in astronomical applications this measurement cannot be done directly, because that would require traveling to the distant star of interest, the method using spectral lines described here

4697-516: The region from Boötes to as far as the Zodiac constellation Gemini . In addition, the clustering is somewhat roundish in shape, which is more likely a supercluster , in contrast to an elongated shape of a galaxy wall. Another name, the Great GRB Wall, was proposed in a later paper. The paper states that "14 of the 31 GRBs are concentrated within 45 degrees of the sky", which translates to

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4774-438: The relative motions of radiation sources, which give rise to the relativistic Doppler effect , and gravitational potentials, which gravitationally redshift escaping radiation. All sufficiently distant light sources show cosmological redshift corresponding to recession speeds proportional to their distances from Earth, a fact known as Hubble's law that implies the universe is expanding . All redshifts can be understood under

4851-503: The resulting changes are distinguishable from (astronomical) redshift and are not generally referred to as such (see section on physical optics and radiative transfer ). The history of the subject began in the 19th century, with the development of classical wave mechanics and the exploration of phenomena which are associated with the Doppler effect . The effect is named after the Austrian mathematician, Christian Doppler , who offered

4928-419: The same pattern of intervals is seen in an observed spectrum from a distant source but occurring at shifted wavelengths, it can be identified as hydrogen too. If the same spectral line is identified in both spectra—but at different wavelengths—then the redshift can be calculated using the table below. Determining the redshift of an object in this way requires a frequency or wavelength range. In order to calculate

5005-564: The size of about 10 billion light-years (3 gigaparsecs ) in its longest dimension, which is approximately one ninth (10.7%) of the diameter of the observable universe. However, the clustering contains 19 to 22 GRBs, and spans a length three times longer than the remaining 14 GRBs. Indeed, the clustering crosses over 20 constellations and covers 125 degrees of the sky, or almost 15,000 square degrees in total area, which translates to about 18 to 23 billion light-years (5.5 to 7 gigaparsecs) in length. It lies at redshift 1.6 to 2.1. The team subdivides

5082-463: The sky. Under current stellar evolutionary models GRBs are only caused by neutron star collision and collapse of massive stars, and as such, stars causing these events are only found in regions with more matter in general. Using the two-point Kolmogorov–Smirnov test , a nearest-neighbor test, and a Bootstrap point-radius method, they found the statistical significance of this observation to be less than 0.05 %. The possible binomial probability to find

5159-416: The source. For these reasons and others, the consensus among astronomers is that the redshifts they observe are due to some combination of the three established forms of Doppler-like redshifts. Alternative hypotheses and explanations for redshift such as tired light are not generally considered plausible. Spectroscopy, as a measurement, is considerably more difficult than simple photometry , which measures

5236-422: The spectroscopic measurements of individual stars are one way astronomers have been able to diagnose and measure the presence and characteristics of planetary systems around other stars and have even made very detailed differential measurements of redshifts during planetary transits to determine precise orbital parameters. Finely detailed measurements of redshifts are used in helioseismology to determine

5313-416: The spectrum of various chemical compounds found in experiments where that compound is located on Earth. A very common atomic element in space is hydrogen . The spectrum of originally featureless light shone through hydrogen will show a signature spectrum specific to hydrogen that has features at regular intervals. If restricted to absorption lines it would look similar to the illustration (top right). If

5390-402: The test shows that out of the six largest numbers, five belong to group 4. Six of the eight numerical comparisons of group 4 belong to the eight largest numerical differences, that is, numbers greater than 14. To calculate the approximate probabilities for the different numbers, the team ran 40 thousand simulations where 31 random points are compared with 31 other random points. The result contains

5467-427: The tests suggest a weak anisotropy and concentration, but this is not the case when it is subdivided to nine groups, each containing 31 GRBs; they noticed a significant clustering of GRBs of the fourth subsample (z = 1.6 to 2.1) with 19 of the 31 GRBs of the subsample are concentrated within the vicinity of the Second, Third and Fourth Northern Galactic Quadrants (NGQ2, NGQ3 and NGQ4) spanning no less than 120 degrees of

5544-468: The umbrella of frame transformation laws . Gravitational waves , which also travel at the speed of light , are subject to the same redshift phenomena. The value of a redshift is often denoted by the letter z , corresponding to the fractional change in wavelength (positive for redshifts, negative for blueshifts), and by the wavelength ratio 1 + z (which is greater than 1 for redshifts and less than 1 for blueshifts). Examples of strong redshifting are

5621-551: The velocities for 15 spiral nebulae spread across the entire celestial sphere , all but three having observable "positive" (that is recessional) velocities. Subsequently, Edwin Hubble discovered an approximate relationship between the redshifts of such "nebulae", and the distances to them, with the formulation of his eponymous Hubble's law . Milton Humason worked on those observations with Hubble. These observations corroborated Alexander Friedmann 's 1922 work, in which he derived

5698-450: Was below the 95% probability threshold (p < .05) of significance typically used in p -value analyses. A study in 2020 found even higher probability levels when considering biases in statistical tests, and argued that given nine redshift ranges were used, the probability threshold should actually be lower than p < 0.05, instead around p < 0.005. A 2020 paper (by the original group of discoverers and others) says that their analysis of

5775-457: Was coined by Johndric Valdez, a Filipino teenager from Marikina on Misplaced Pages , after reading a Discovery News report three weeks after the structure's discovery in 2013. The nomenclature was used by Jacqueline Howard, on her "Talk Nerdy to Me" video series, and Hakkila would later use the name. The term is misleading, since the clustering occupies a region much larger than the constellations Hercules and Corona Borealis . In fact, it covers

5852-467: Was the first to determine the velocity of a star moving away from the Earth by the method. In 1871, optical redshift was confirmed when the phenomenon was observed in Fraunhofer lines , using solar rotation, about 0.1 Å in the red. In 1887, Vogel and Scheiner discovered the "annual Doppler effect", the yearly change in the Doppler shift of stars located near the ecliptic, due to the orbital velocity of

5929-460: Was verified, it was found that stellar colors were primarily due to a star's temperature , not motion. Only later was Doppler vindicated by verified redshift observations. The Doppler redshift was first described by French physicist Hippolyte Fizeau in 1848, who noted the shift in spectral lines seen in stars as being due to the Doppler effect. The effect is sometimes called the "Doppler–Fizeau effect". In 1868, British astronomer William Huggins

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