Boushaki cosmological operator

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Boushaki cosmological operator
Expansion de l'univers.gif
Author Mustapha Ishak Boushaki
Working titleIndex Of Inconsistency (IOI)
CountryFlag of the United States.svg  United States
Language English
Subject Expansion of the universe, Accelerating expansion of the universe, Theory of relativity, General relativity, Cosmological constant, Gravity, Hubble constant.
Genre Cosmology, Astrophysics, Data sets, Statistics
Publication date
2006

The Boushaki cosmological operator or index of inconsistency (IOI) is a cosmological statistical technique developed by Mustapha Ishak Boushaki since 2006 to analyze the expansion of the universe. [1] [2] [3] [4] [5]

Contents

Primary research

Professor Mustapha Ishak Boushaki published his first paper on the inconsistencies of the universe expansion in 2006 after submitting his doctoral thesis entitled "Studies in non-homogeneous cosmological models" under the supervision of Professor Kayll William Lake in June 2003 within the Queen's University at Kingston. [6] [7] [8] [9] [10]

Boushaki tried to solve the mystery hidden in the accelerating universe expansion by studying the role of theoretical dark energy in the modification of gravitational wave effect. [11] [12] [13] [14] [15]

Inconsistency index

Large Synoptic Survey Telescope (LSST) Large Synoptic Survey Telescope 3 4 render 2013.png
Large Synoptic Survey Telescope (LSST)

Ishak-Boushaki and his student Weikang Lin developed in the University of Texas at Dallas a new measure, called the index of inconsistency (IOI), which can give a numerical value to how much more than two data sets disagree. [16] [17] [18] [19] [20]

In this tool, an inconsistency value of more than one may mean that the cosmology data sets are inconsistent, while a value greater than five put them in the class of strong inconsistency. [21] [22] [23] [24] [25]

This method and other ones used to evaluate the inconsistency phenomenon that do not match the results of Planck space observatory tools. [26] [27] [28] [29] [30]

Hubble constant

This statistical tool is used to compare several different techniques in order to evaluate the Hubble constant, which reveals the rate at which the universe is expanding. [31] [32] [33] [34] [35]

Since 2016, Boushaki used this constant measurements in his reports dealing with the results from investigating inhomogeneities on cosmological distances and large-scale structure growth. [36] [37] [38] [39] [40]

Indeed, these studies and reports have shown that this important cosmological constant can be shifted from its true value when the inhomogeneities are not accounted for. [41] [42] [43] [7] [44]

Boushaki used data produced by the advanced cameras of Hubble Space Telescope in order to survey and calculate with IOI tool the new form of energy engaged in the cosmic expansion throughout the universe with the evaluated cosmology constants. [45] [46] [47] [48] [49]

Large Synoptic Survey Telescope

Boushaki with his team of researchers at University of Texas at Dallas have made their IOI tool available for other scientists worldwide to be used in order to looking after inconsistencies among data sets. [33] [50] [51] [52] [53]

This free collaboration is part of the Large Synoptic Survey Telescope (LSST) project dealing with the measure of cosmological discordances and marginalization effects, and their application to geometry and growth of current data sets, by using also the Dark Energy Spectroscopic Instrument (DESI). [16] [54] [55] [56]

See also

Related Research Articles

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Physical cosmology Branch of cosmology which studies mathematical models of the universe

Physical cosmology is a branch of cosmology concerned with the study of cosmological models. A cosmological model, or simply cosmology, provides a description of the largest-scale structures and dynamics of the universe and allows study of fundamental questions about its origin, structure, evolution, and ultimate fate. Cosmology as a science originated with the Copernican principle, which implies that celestial bodies obey identical physical laws to those on Earth, and Newtonian mechanics, which first allowed those physical laws to be understood.

Gravity Fundamental force attracting uneven distribution of masses together

In physics, gravity (from Latin gravitas 'weight') is a fundamental interaction which causes mutual attraction between all things with mass or energy. Gravity is by far the weakest of the four fundamental interactions, approximately 1038 times weaker than the strong interaction, 1036 times weaker than the electromagnetic force and 1029 times weaker than the weak interaction. As a result, it has no significant influence at the level of subatomic particles. However, gravity is the most significant interaction between objects at the macroscopic scale, and it determines the motion of planets, stars, galaxies, and even light.

Cosmological constant Constant representing stress–energy density of the vacuum

In cosmology, the cosmological constant, alternatively called Einstein's cosmological constant, is the constant coefficient of a term Albert Einstein temporarily added to his field equations of general relativity. He later removed it. Much later it was revived and reinterpreted as the energy density of space, or vacuum energy, that arises in quantum mechanics. It is closely associated with the concept of dark energy.

Accelerating expansion of the universe Cosmological phenomenon

Observations show that the expansion of the universe is accelerating, such that the velocity at which a distant galaxy recedes from the observer is continuously increasing with time. The accelerated expansion of the universe was discovered during 1998 by two independent projects, the Supernova Cosmology Project and the High-Z Supernova Search Team, which both used distant type Ia supernovae to measure the acceleration. The idea was that as type Ia supernovae have almost the same intrinsic brightness, and since objects that are further away appear dimmer, we can use the observed brightness of these supernovae to measure the distance to them. The distance can then be compared to the supernovae's cosmological redshift, which measures how much the universe has expanded since the supernova occurred; the Hubble law established that the further an object is from us, the faster it is receding. The unexpected result was that objects in the universe are moving away from one another at an accelerated rate. Cosmologists at the time expected that recession velocity would always be decelerating, due to the gravitational attraction of the matter in the universe. Three members of these two groups have subsequently been awarded Nobel Prizes for their discovery. Confirmatory evidence has been found in baryon acoustic oscillations, and in analyses of the clustering of galaxies.

Hubbles law Observation in physical cosmology

Hubble's law, also known as the Hubble–Lemaître law or Lemaître's law, is the observation in physical cosmology that galaxies are moving away from Earth at speeds proportional to their distance. In other words, the farther they are, the faster they are moving away from Earth. The velocity of the galaxies has been determined by their redshift, a shift of the light they emit toward the red end of the visible spectrum.

Galaxy cluster Structure made up of a gravitationally-bound aggregation of hundreds of galaxies

A galaxy cluster, or cluster of galaxies, is a structure that consists of anywhere from hundreds to thousands of galaxies that are bound together by gravity with typical masses ranging from 1014–1015 solar masses. They are the second largest known gravitationally bound structures in the universe after galaxy filaments and were believed to be the largest known structures in the universe until the 1980s, when superclusters were discovered. One of the key features of clusters is the intracluster medium (ICM). The ICM consists of heated gas between the galaxies and has a peak temperature between 2–15 keV that is dependent on the total mass of the cluster. Galaxy clusters should not be confused with star clusters, such as galactic clusters—also known as open clusters—which are structures of stars within galaxies, or with globular clusters, which typically orbit galaxies. Small aggregates of galaxies are referred to as galaxy groups rather than clusters of galaxies. The galaxy groups and clusters can themselves cluster together to form superclusters.

Big Crunch Theoretical scenario for the ultimate fate of the universe

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Non-standard cosmology Models of the universe which deviate from then-current scientific consensus

A non-standard cosmology is any physical cosmological model of the universe that was, or still is, proposed as an alternative to the then-current standard model of cosmology. The term non-standard is applied to any theory that does not conform to the scientific consensus. Because the term depends on the prevailing consensus, the meaning of the term changes over time. For example, hot dark matter would not have been considered non-standard in 1990, but would be in 2010. Conversely, a non-zero cosmological constant resulting in an accelerating universe would have been considered non-standard in 1990, but is part of the standard cosmology in 2010.

Observable universe All matter that can be observed from the Earth at the present

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Lambda-CDM model Model of Big Bang cosmology

The ΛCDM or Lambda-CDM model is a parameterization of the Big Bang cosmological model in which the universe contains three major components: first, a cosmological constant denoted by Lambda associated with dark energy; second, the postulated cold dark matter ; and third, ordinary matter. It is frequently referred to as the standard model of Big Bang cosmology because it is the simplest model that provides a reasonably good account of the following properties of the cosmos:

Cosmology Scientific study of the origin, evolution, and eventual fate of the universe

Cosmology is a branch of metaphysics dealing with the nature of the universe. The term cosmology was first used in English in 1656 in Thomas Blount's Glossographia, and in 1731 taken up in Latin by German philosopher Christian Wolff, in Cosmologia Generalis. Religious or mythological cosmology is a body of beliefs based on mythological, religious, and esoteric literature and traditions of creation myths and eschatology. In the science of astronomy it is concerned with the study of the chronology of the universe.

Expansion of the universe Increase in distance between parts of the universe over time

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An inhomogeneous cosmology is a physical cosmological theory which, unlike the currently widely accepted cosmological concordance model, assumes that inhomogeneities in the distribution of matter across the universe affect local gravitational forces enough to skew our view of the Universe. When the universe began, matter was distributed homogeneously, but over billions of years, galaxies, clusters of galaxies, and superclusters have coalesced, and must, according to Einstein's theory of general relativity, warp the space-time around them. While the concordance model acknowledges this fact, it assumes that such inhomogeneities are not sufficient to affect large-scale averages of gravity in our observations. When two separate studies claimed in 1998-1999 that high redshift supernovae were further away than our calculations showed they should be, it was suggested that the expansion of the universe is accelerating, and dark energy, a repulsive energy inherent in space, was proposed to explain the acceleration. Dark energy has since become widely accepted, but it remains unexplained. Accordingly, some scientists continue to work on models that might not require dark energy. Inhomogeneous cosmology falls into this class.

Chronology of the universe History and future of the universe

The chronology of the universe describes the history and future of the universe according to Big Bang cosmology.

Dark energy Unknown property in cosmology that causes the expansion of the universe to accelerate

In physical cosmology and astronomy, dark energy is an unknown form of energy that affects the universe on the largest scales. The first observational evidence for its existence came from measurements of supernovas, which showed that the universe does not expand at a constant rate; rather, the universe's expansion is accelerating. Understanding the universe's evolution requires knowledge of its starting conditions and composition. Before these observations, scientists thought that all forms of matter and energy in the universe would only cause the expansion to slow down over time. Measurements of the cosmic microwave background (CMB) suggest the universe began in a hot Big Bang, from which general relativity explains its evolution and the subsequent large-scale motion. Without introducing a new form of energy, there was no way to explain how scientists could measure an accelerating universe. Since the 1990s, dark energy has been the most accepted premise to account for the accelerated expansion. As of 2021, there are active areas of cosmology research to understand the fundamental nature of dark energy. Assuming that the lambda-CDM model of cosmology is correct, the best current measurements indicate that dark energy contributes 68% of the total energy in the present-day observable universe. The mass–energy of dark matter and ordinary (baryonic) matter contributes 26% and 5%, respectively, and other components such as neutrinos and photons contribute a very small amount. Dark energy's density is very low, much less than the density of ordinary matter or dark matter within galaxies. However, it dominates the universe's mass-energy content because it is uniform across space.

Chris Hirata American cosmologist and astrophysicist

Christopher Michael Hirata is an American cosmologist and astrophysicist.

Lucas Lombriser is a Swiss National Science Foundation Professor at the Department of Theoretical Physics, University of Geneva. His research is in Theoretical Cosmology, Dark Energy, and Alternative Theories of Gravity. In 2020 and 2021 Lombriser proposed that the Hubble tension and other discrepancies between cosmological measurements imply significant evidence that we are living in a Hubble Bubble of 250 million light years in diameter which is 20% less dense than the cosmic average and lowers the locally measured cosmic microwave background temperature over its cosmic average. Previously, in 2019, he has proposed a solution to the cosmological constant problem from arguing that Newton's constant varies globally. In 2015 and 2016, Lombriser predicted the measurement of the gravitational wave speed with a neutron star merger and that this would rule out alternative theories of gravity as the cause of the late-time accelerated expansion of our Universe, a prediction that proved true with GW170817. Lombriser is a member of the Romansh-speaking minority in Switzerland.

Mustapha Ishak Boushaki Algerian theoretical physicist

Mustapha Ishak-Boushaki is a theoretical physicist, cosmologist and professor at the University of Texas at Dallas. He is known for his contributions to the studies of cosmic acceleration and dark energy, gravitational lensing, and testing alternatives to general relativity; as well as his authorship of Testing General Relativity in Cosmology, a review article published in Living Reviews in Relativity. He was elected in 2021 as Fellow of American Association for the Advancement of Science (AAAS) with the quote: “For distinguished contributions to the field of theoretical cosmology, particularly for testing modifications to general relativity at cosmological scales, and for sustained excellence in teaching and mentoring of students.”

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