Hans Adolf Buchdahl
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Hans Adolf Buchdahl (7 July 1919 – 7 January 2010) was a German-born Australian physicist. He contributed to
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 ...
,
thermodynamics Thermodynamics is a branch of physics that deals with heat, Work (thermodynamics), work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these quantities is governed b ...
and
optics Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of optical instruments, instruments that use or Photodetector, detect it. Optics usually describes t ...
. He is particularly known for developing
f(R) gravity In physics, ''f''(''R'') is a type of modified gravity theory which generalizes Einstein's general relativity. ''f''(''R'') gravity is actually a family of theories, each one defined by a different function, , of the Ricci scalar, . The simpl ...
and Buchdahl's theorem on the Schwarzschild's solution for the inside of a spherical star.


Biography

Hans Adolf Buchdahl was born in
Mainz Mainz (; #Names and etymology, see below) is the capital and largest city of the German state of Rhineland-Palatinate, and with around 223,000 inhabitants, it is List of cities in Germany by population, Germany's 35th-largest city. It lies in ...
, Germany, in a Jewish family (he used the spelling Adolph to dissociate himself from Hitler). His older brother Gerd Buchdahl was a well-known philosopher in science. In 1933, Gerd took Hans with him to England, to escape the Nazi government. At London, he completed a BSc and received the Associate of the Royal College of Science (ARCS) from
Imperial College Imperial College London, also known as Imperial, is a public research university in London, England. Its history began with Prince Albert, husband of Queen Victoria, who envisioned a cultural district in South Kensington that included museums ...
. When
World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
began, the UK government, unable to determine individual allegiance, interned German nationals including many Jewish refugees already fully assimilated. In July 1940, Hans came to Australia together with Gerd on board the HMT Dunera. He was detained initially at Hay in New South Wales, then at the Tatura centre in Victoria in May 1941. Once his mathematical abilities had been recognised there, he was released on a guarantor program and was transferred to the Physics Department of the
University of Tasmania The University of Tasmania (UTAS) is a public research university, primarily located in Tasmania, Australia. Founded in 1890, it is Australia's fourth oldest university. Christ College (University of Tasmania), Christ College, one of the unive ...
in
Hobart Hobart ( ) is the capital and most populous city of the island state of Tasmania, Australia. Located in Tasmania's south-east on the estuary of the River Derwent, it is the southernmost capital city in Australia. Despite containing nearly hal ...
. There he had to assist the overloaded teaching staff involved in wartime military research in optics. In 1949, he received his doctorate from University of Tasmania. In 1956, he was awarded a D.Sc. from Imperial College London. From 1963 he was professor and head of the Department of Theoretical Physics in the Faculty of Science at the
Australian National University The Australian National University (ANU) is a public university, public research university and member of the Group of Eight (Australian universities), Group of Eight, located in Canberra, the capital of Australia. Its main campus in Acton, A ...
in
Canberra Canberra ( ; ) is the capital city of Australia. Founded following the Federation of Australia, federation of the colonies of Australia as the seat of government for the new nation, it is Australia's list of cities in Australia, largest in ...
until his retirement in 1984–1985. He married Pamela Wann in 1950 and they had three children. He died in Adelaide, Australia, on 7 January 2010.


Works

When working at the Waterworth Hobart Annexe, Buchdahl found the formulas for
optical aberration In optics, aberration is a property of optical systems, such as Lens (optics), lenses and mirrors, that causes the ''image'' created by the optical system to not be a faithful reproduction of the ''object'' being observed. Aberrations cause the i ...
coefficients taken to high orders that the Waterworth group used in designing imaging systems. These formulas were later applied worldwide, including in systems carried by satellites. At the same time, he also continued research in general relativity and classical thermodynamics. His first interest in thermodynamics focused on fitting Carathéodory's axiomatic formulation better to a physicist's intuition. Buchdahl's attempt at making the foundations of
thermodynamics Thermodynamics is a branch of physics that deals with heat, Work (thermodynamics), work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these quantities is governed b ...
more concise was far from advertising the use of the axiomatic method; instead it was an endeavour allowing "physical intuition to take precedence over mathematical niceties". Buchdahl's interest in
tensor In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects associated with a vector space. Tensors may map between different objects such as vectors, scalars, and even other ...
and
spinor In geometry and physics, spinors (pronounced "spinner" IPA ) are elements of a complex numbers, complex vector space that can be associated with Euclidean space. A spinor transforms linearly when the Euclidean space is subjected to a slight (infi ...
analysis was related to dealing with formalisms and calculational procedures, be it spherical and spheroidal harmonics. While working with Weyl's theory and quadratic Lagrangians, he decided to present the Euler–Lagrange derivative of the most general Lagrangian built from the metric, the curvature tensor and its derivatives to arbitrary order. However, he did not use spinors as an important tool in general relativity, e.g., for the study of gravitational radiation and null infinity. In gravitational theory, Buchdahl's contribution on
Einstein field equation In the general theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter within it. The equations were published by Albert Einstein in 1915 in the ...
or scalar-tensor theory are almost as well known as his spherically symmetric solutions describing the interior of stars. From his work on higher-order Lagrangians he concluded that theories with quadratic Lagrangians or f(R)-theories are unphysical.Buchdahl, H.: ''The Concepts of Classical Thermodynamics''. Cambridge University Press, Cambridge (1970); private communication, 15 July 1977 When
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 ...
was still alive, as with many other theorists Hans Buchdahl could not escape the lure of the famous scientist's "
unified field theory In physics, a Unified Field Theory (UFT) or “Theory of Everything” is a type of field theory that allows all fundamental forces of nature, including gravity, and all elementary particles to be written in terms of a single physical field. Ac ...
" of gravitation and electricity. However, as Buchdahl's papers in this field show, he was attracted by the enlarged constructive possibilities of the more general geometries, not by any hoped-for physics behind the theory. As shown in his "17 simple lectures", his understanding of general relativity made him clearly stay away from and criticise the parlance of the mainstream following J. A. Wheeler when speaking of "mass-energy curving space", "
black hole A black hole is a massive, compact astronomical object so dense that its gravity prevents anything from escaping, even light. Albert Einstein's theory of general relativity predicts that a sufficiently compact mass will form a black hole. Th ...
" (in place of the physically more appealing "occluded star", or "frozen star") and, in the frame of
quantum gravity Quantum gravity (QG) is a field of theoretical physics that seeks to describe gravity according to the principles of quantum mechanics. It deals with environments in which neither gravitational nor quantum effects can be ignored, such as in the v ...
, of "foamlike 3-geometry". He was honoured by grants, prizes, medals, and memberships, to list some of them: Fellow of the Australian Academy of Science (1968), Thomas Ranken Lyle Medal (1972), Member of the American Optical Society (1974), Overseas Fellow of Churchill College, Cambridge (1979), Walter Burfitt Medal (Roy. Soc. NSW) (1980), C. E. K. Mees Medal (Opt. Soc. Amer.) (1993), A. E. Conrady Award (Int. Soc. Opt. Eng.) (1997).


Publications


Books

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Selected papers

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References

{{DEFAULTSORT:Buchdahl, Hans Adolf 1919 births 2010 deaths 20th-century Australian physicists Fellows of the Australian Academy of Science Academic staff of the Australian National University Academic staff of the University of Tasmania Alumni of Imperial College London British emigrants to Australia Naturalised citizens of Australia Jewish emigrants from Nazi Germany to the United Kingdom People interned during World War II German people imprisoned in the United Kingdom