T. Kaluza
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Theodor Franz Eduard Kaluza (; 9 November 1885 – 19 January 1954) was a German
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
and
physicist A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe. Physicists generally are interested in the root or ultimate cau ...
known for the
Kaluza–Klein theory In physics, Kaluza–Klein theory (KK theory) is a classical unified field theory of gravitation and electromagnetism built around the idea of a fifth dimension beyond the common 4D of space and time and considered an important precursor to ...
, involving
field equations A classical field theory is a physical theory that predicts how one or more fields in physics interact with matter through field equations, without considering effects of quantization; theories that incorporate quantum mechanics are called qua ...
in five-dimensional space-time. His idea that fundamental forces can be unified by introducing additional dimensions was reused much later for
string theory In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and intera ...
.


Life

Kaluza was born to a
Roman Catholic The Catholic Church (), also known as the Roman Catholic Church, is the largest Christian church, with 1.27 to 1.41 billion baptized Catholics worldwide as of 2025. It is among the world's oldest and largest international institut ...
family from the town of Ratibor (present-day Racibórz in Poland) in the
German Empire The German Empire (),; ; World Book, Inc. ''The World Book dictionary, Volume 1''. World Book, Inc., 2003. p. 572. States that Deutsches Reich translates as "German Realm" and was a former official name of Germany. also referred to as Imperia ...
's
Prussian Prussia (; ; Old Prussian: ''Prūsija'') was a German state centred on the North European Plain that originated from the 1525 secularization of the Prussian part of the State of the Teutonic Order. For centuries, the House of Hohenzoll ...
Province of Silesia The Province of Silesia (; ; ) was a province of Prussia from 1815 to 1919. The Silesia region was part of the Prussian realm since 1742 and established as an official province in 1815, then became part of the German Empire in 1871. In 1919, as ...
. Kaluza himself was born in Wilhelmsthal (a village that was incorporated into Oppeln (presently
Opole Opole (; ; ; ) is a city located in southern Poland on the Oder River and the historical capital of Upper Silesia. With a population of approximately 127,387 as of the 2021 census, it is the capital of Opole Voivodeship (province) and the seat of ...
) in 1899). He spent his youth in
Königsberg Königsberg (; ; ; ; ; ; , ) is the historic Germany, German and Prussian name of the city now called Kaliningrad, Russia. The city was founded in 1255 on the site of the small Old Prussians, Old Prussian settlement ''Twangste'' by the Teuton ...
, where his father, Maximilian "Max" Kaluza, was a professor of the English language. He entered the
University of Königsberg The University of Königsberg () was the university of Königsberg in Duchy of Prussia, which was a fief of Poland. It was founded in 1544 as the world's second Protestant Reformation, Protestant academy (after the University of Marburg) by Duke A ...
to study mathematics and gained his doctorate with a thesis on
Tschirnhaus transformation In mathematics, a Tschirnhaus transformation, also known as Tschirnhausen transformation, is a type of mapping on polynomials developed by Ehrenfried Walther von Tschirnhaus in 1683. Simply, it is a method for transforming a polynomial equation ...
s. Kaluza was primarily a mathematician but began studying relativity. In April 1919 Kaluza noticed that when he solved
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 equations for
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 ...
using five dimensions, then Maxwellian equations for
electromagnetism In physics, electromagnetism is an interaction that occurs between particles with electric charge via electromagnetic fields. The electromagnetic force is one of the four fundamental forces of nature. It is the dominant force in the interacti ...
resulted spontaneously.''Sitzungsberichte der Preussischen Akademie der Wissenschaften'' (1918)
(''Proceedings of the Prussian Academy of Sciences'' (1918)). archive.org. pp. 966–974.
''Proceedings of the Prussian Academy of Sciences'' (1918). p. 969. (cf., da num (für alle drei arten feldgleichungen) .. Ricci tensor">.. Ricci tensor... so für den die maxwellschen gleichen gem fur die komponenten des verstorms [...">Ricci tensor...">Ricci tensor">.. Ricci tensor... so für den die maxwellschen gleichen gem fur die komponenten des verstorms [...der raumzeitliche energietensor is also im wesentlichen mir stromdichte zu randern (Tr., Since then (for all three types of field equations) [... Ricci-flat manifold...], So for the same according to Maxwell's for the components of the verstorms [...] the spatio-temporal energy tensor thus essentially current density are random)). Kaluza wrote to Einstein who, in turn, encouraged him to publish. Kaluza's theory was published in 1921 in a paper "Zum Unitätsproblem der Physik" with Einstein's support in ''Sitzungsberichte Preußische Akademie der Wissenschaften'' 966–972 (1921). Kaluza's insight is remembered as the
Kaluza–Klein theory In physics, Kaluza–Klein theory (KK theory) is a classical unified field theory of gravitation and electromagnetism built around the idea of a fifth dimension beyond the common 4D of space and time and considered an important precursor to ...
(named also after physicist
Oskar Klein Oskar Benjamin Klein (; 15 September 1894 – 5 February 1977) was a Swedish theoretical physics, theoretical physicist. Oskar Klein is known for his work on Kaluza–Klein theory, which is partially named after him. Biography Klein was born ...
). However, the work was neglected for many years, as attention was directed towards
quantum mechanics Quantum mechanics is the fundamental physical Scientific theory, theory that describes the behavior of matter and of light; its unusual characteristics typically occur at and below the scale of atoms. Reprinted, Addison-Wesley, 1989, It is ...
. His idea that fundamental forces can be explained by additional dimensions was not reused until
string theory In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and intera ...
was developed. It is, however, also notable that many of the aspects of this body of work were already published in 1914 by
Gunnar Nordström Gunnar Nordström (12 March 1881 – 24 December 1923) was a Finland, Finnish theoretical physicist best remembered for Nordström's theory of gravitation, his theory of gravitation, which was an early competitor of general relativity. Nordströ ...
, but his work also went unnoticed and was not recognized when the ideas were reused. For the rest of his career Kaluza continued to produce ideas about relativity and about models of the
atomic nucleus The atomic nucleus is the small, dense region consisting of protons and neutrons at the center of an atom, discovered in 1911 by Ernest Rutherford at the Department_of_Physics_and_Astronomy,_University_of_Manchester , University of Manchester ...
. Despite Einstein's encouragement, Kaluza remained only a (
Privatdozent ''Privatdozent'' (for men) or ''Privatdozentin'' (for women), abbreviated PD, P.D. or Priv.-Doz., is an academic title conferred at some European universities, especially in German-speaking countries, to someone who holds certain formal qualifi ...
) at
Königsberg Königsberg (; ; ; ; ; ; , ) is the historic Germany, German and Prussian name of the city now called Kaliningrad, Russia. The city was founded in 1255 on the site of the small Old Prussians, Old Prussian settlement ''Twangste'' by the Teuton ...
until 1929, when he was appointed as professor at the
University of Kiel Kiel University, officially the Christian Albrecht University of Kiel, (, abbreviated CAU, known informally as Christiana Albertina) is a public research university in the city of Kiel, Germany. It was founded in 1665 as the ''Academia Holsator ...
. In 1935, he became a full professor at the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen (, commonly referred to as Georgia Augusta), is a Public university, public research university in the city of Göttingen, Lower Saxony, Germany. Founded in 1734 ...
, where he remained until his death in 1954. Perhaps his finest mathematical work is the textbook ''Höhere Mathematik für den Praktiker'', which was written jointly with
Georg Joos Georg Jakob Christof Joos (25 May 1894 in Bad Urach, German Empire – 20 May 1959 in Munich, West Germany) was a German experimental physicist. He wrote ''Lehrbuch der theoretischen Physik'', first published in 1932 and one of the most influ ...
.


Personal life

Kaluza was extraordinarily versatile. He spoke or wrote 17 languages. He also had an unusually modest personality. He refused the
Nazi ideology Nazism (), formally named National Socialism (NS; , ), is the far-right totalitarian socio-political ideology and practices associated with Adolf Hitler and the Nazi Party (NSDAP) in Germany. During Hitler's rise to power, it was freque ...
, and his appointment to the Göttingen professorship was possible only with difficulties and by assistance of his colleague
Helmut Hasse Helmut Hasse (; 25 August 1898 – 26 December 1979) was a German mathematician working in algebraic number theory, known for fundamental contributions to class field theory, the application of ''p''-adic numbers to local class field theory and ...
. Strange stories were told of his private life, for example, that he taught himself to swim during his thirties by reading a book about it and succeeded at his first attempt in the water. Kaluza had a son, also named (1910-1994), who was a notable
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
.


See also

*
Yang–Mills theory Yang–Mills theory is a quantum field theory for nuclear binding devised by Chen Ning Yang and Robert Mills in 1953, as well as a generic term for the class of similar theories. The Yang–Mills theory is a gauge theory based on a special un ...
*
Superstring theory Superstring theory is an attempt to explain all of the particles and fundamental forces of nature in one theory by modeling them as vibrations of tiny supersymmetric strings. 'Superstring theory' is a shorthand for supersymmetric string t ...


Notes


References


Biography of Kaluza
from the MacTutor archive *
Biography of Kaluza (book with 748 pages in German by Daniela Wuensch)
from the Termessos publishing house * Daniela Wünsch, "Der Erfinder der fünften Dimension",
Neue Zürcher Zeitung The (''NZZ''; "New Newspaper of Zurich") is German language daily newspaper, published by NZZ Mediengruppe in Zurich. The paper was founded in 1780. It has a reputation as a high-quality newspaper, as the German Swiss newspaper of record ...
, January 21, 200
(article in German)

Articles (some in English) about Kaluza
by Daniela Wuensch


External links



given by
Brian Greene Brian Randolph Greene (born February 9, 1963) is an American physicist known for his research on string theory. He is a professor of physics and mathematics at Columbia University, director of its center for theoretical physics, and the cha ...
{{DEFAULTSORT:Kaluza, Theodor 1885 births 1954 deaths 20th-century German mathematicians 20th-century German physicists People from Opole Scientists from the Province of Silesia University of Königsberg alumni Academic staff of the University of Kiel Academic staff of the University of Göttingen German theoretical physicists