Carl Brans
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Carl Henry Brans (; born December 13, 1935) is an American
mathematical physicist Mathematical physics is the development of mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the development of ...
best known for his research into the theoretical underpinnings of
gravitation In physics, gravity (), also known as gravitation or a gravitational interaction, is a fundamental interaction, a mutual attraction between all massive particles. On Earth, gravity takes a slightly different meaning: the observed force b ...
elucidated in his most widely publicized work, the
Brans–Dicke theory In physics, the Brans–Dicke theory of gravitation (sometimes called the Jordan–Brans–Dicke theory) is a competitor to Einstein's general theory of relativity. It is an example of a scalar–tensor theory, a gravitational theory in which the ...
.


Biography

A
Texan Texas ( , ; or ) is the most populous state in the South Central region of the United States. It borders Louisiana to the east, Arkansas to the northeast, Oklahoma to the north, New Mexico to the west, and has an international border wit ...
, born in
Dallas Dallas () is a city in the U.S. state of Texas and the most populous city in the Dallas–Fort Worth metroplex, the List of Texas metropolitan areas, most populous metropolitan area in Texas and the Metropolitan statistical area, fourth-most ...
, Carl Brans spent his academic career in neighboring
Louisiana Louisiana ( ; ; ) is a state in the Deep South and South Central regions of the United States. It borders Texas to the west, Arkansas to the north, and Mississippi to the east. Of the 50 U.S. states, it ranks 31st in area and 25 ...
, graduating in 1957 from
Loyola University New Orleans Loyola University New Orleans is a Private university, private Jesuit university in New Orleans, Louisiana, United States. Originally established as Loyola College in 1904, the institution was chartered as a university in 1912. It bears the nam ...
. Having obtained his Ph.D. from
Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
in 1961, he returned to Loyola in 1960 and later became the J.C. Carter Distinguished Professor of Theoretical Physics. Since then he has held visiting professorships at Princeton University, the
Institute for Advanced Study The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
, and the Institute for Theoretical Physics at the
University of Cologne The University of Cologne () is a university in Cologne, Germany. It was established in 1388. It closed in 1798 before being re-established in 1919. It is now one of the largest universities in Germany with around 45,187 students. The Universit ...
, Germany. Brans is well known among those engaged in the study of gravity and is noted for his development, with Robert H. Dicke of the Brans–Dicke theory of gravitation in which the
gravitational constant The gravitational constant is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's general relativity, theory of general relativity. It ...
varies with time, a leading competitor of
Albert Einstein Albert Einstein (14 March 187918 April 1955) was a German-born theoretical physicist who is best known for developing the theory of relativity. Einstein also made important contributions to quantum mechanics. His mass–energy equivalence f ...
's theory of
general relativity General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the differential geometry, geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of grav ...
. The work of Brans and Dicke actually was closely related to earlier work of
Pascual Jordan Ernst Pascual Jordan (; 18 October 1902 – 31 July 1980) was a German theoretical and mathematical physicist who made significant contributions to quantum mechanics and quantum field theory. He contributed much to the mathematical form of matri ...
, but was developed independently. This formulation is often referred to as the Jordan–Brans–Dicke (JBD) scalar–tensor theory of gravity. In this theory, based on speculations of Mach, Eddington,
Dirac Paul Adrien Maurice Dirac ( ; 8 August 1902 – 20 October 1984) was an English mathematician and theoretical physicist who is considered to be one of the founders of quantum mechanics. Dirac laid the foundations for both quantum electrodyna ...
and others, a universally coupled scalar field, in addition to the
metric Metric or metrical may refer to: Measuring * Metric system, an internationally adopted decimal system of measurement * An adjective indicating relation to measurement in general, or a noun describing a specific type of measurement Mathematics ...
, is introduced which ultimately results in a theory in which the
gravitational constant The gravitational constant is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's general relativity, theory of general relativity. It ...
depends on the distribution of matter in the universe. A number of very accurate measurements made in the late 1970s has indicated that JBD fares no better than the simpler standard Einstein General Relativity, in the
Solar System The Solar SystemCapitalization of the name varies. The International Astronomical Union, the authoritative body regarding astronomical nomenclature, specifies capitalizing the names of all individual astronomical objects but uses mixed "Sola ...
context. However, developments in string theory and in inflationary cosmology have renewed interest in scalar field modifications of standard
general relativity General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the differential geometry, geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of grav ...
, although not in the original JBD form. In the 1960s and 1970s Brans developed a complete and effective invariant classification of four dimensional Ricci flat geometries, a type of post-Petrov approach, developing very early computer programs for symbolic manipulations. He summarized this work in terms of the complexification of the two-form fiber over space-time. He also worked on certain questions related to the apparently circular argument in proofs of Bell's theorem in which the hidden variables are a priori assumed to not influence detector settings, denying hidden variable causality from the beginning. From the 1980s on, Brans has considered certain developments in
differential topology In mathematics, differential topology is the field dealing with the topological properties and smooth properties of smooth manifolds. In this sense differential topology is distinct from the closely related field of differential geometry, which ...
concerning the existence of exotic (non-standard) global differential structures and their possible applications to physics. This work includes looking at the exotic 7-sphere of
John Milnor John Willard Milnor (born February 20, 1931) is an American mathematician known for his work in differential topology, algebraic K-theory and low-dimensional holomorphic dynamical systems. Milnor is a distinguished professor at Stony Brook Uni ...
as an exotic Yang–Mills bundle, and most especially the infinity of exotic
differential structure In mathematics, an ''n''- dimensional differential structure (or differentiable structure) on a set ''M'' makes ''M'' into an ''n''-dimensional differential manifold, which is a topological manifold with some additional structure that allows for ...
on Euclidean four space ( exotic R4) as alternative models for space-time in general relativity. Much of this work has been done in collaboration with Torsten Asselmeyer-Maluga of Berlin. In particular, they proposed that exotic smoothness structures can resolve some of the problems in cosmology like dark matter or dark energy. Together they published a book, ''Exotic Smoothness and Physics'', in 2007.T. Asselmeyer-Maluga and C. Brans, ''Exotic Smoothness and Physics: Differential Topology and Spacetime Models'', World Scientific Press, Singapore (2007).


References


External links


Simplified overview of scalar-tensor alternatives to standard Einstein theory

More details of the Jordan-Brans-Dicke TheoryCarl H. Brans personal websiteOriginal PhD thesis leading to JBD
{{DEFAULTSORT:Brans, Carl H. 21st-century American physicists Princeton University alumni Loyola University New Orleans alumni 1935 births Living people Loyola University New Orleans faculty Fellows of the American Physical Society