Enrique Loedel Palumbo
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Enrique Loedel Palumbo (
Montevideo Montevideo () is the Capital city, capital and List of cities in Uruguay, largest city of Uruguay. According to the 2011 census, the city proper has a population of 1,319,108 (about one-third of the country's total population) in an area of . M ...
Uruguay, June 29, 1901 –
La Plata La Plata () is the capital city of Buenos Aires Province, Argentina. According to the , it has a population of 654,324 and its metropolitan area, the Greater La Plata, has 787,294 inhabitants. It is located 9 kilometers (6 miles) inland from th ...
Argentina, July 31, 1962) was an Uruguayan physicist. Loedel Palumbo was born in Montevideo, Uruguay and studied at the University of La Plata in Argentina. His doctoral advisor was the German physicist of Jewish origin Richard Gans. Loedel wrote his Ph.D. thesis in December 1925 on optical and electrical constants of sugar cane. An extract of the thesis was published in German in '' Annalen der Physik'' in 1926. He then began his career as professor in La Plata. During Einstein's visit to Argentina in 1925 they had a conversation about the differential equation of a point-source gravitational field, which resulted in a paper published by Loedel in '' Physikalische Zeitschrift''. It is claimed that this is the first research paper on relativity ever published by a Latin American scientist. Loedel Palumbo then spent some time in Germany working with Erwin Schrödinger and Max Planck. He returned to Argentina in 1930 and from there on concentrated on teaching. He published several scientific papers during his career in international journals and wrote several books (in Spanish).


Loedel diagram

Max Born Max Born (; 11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a n ...
(1920) and systematically
Paul Gruner Paul may refer to: * Paul (given name), a given name (includes a list of people with that name) * Paul (surname), a list of people People Christianity *Paul the Apostle (AD c.5–c.64/65), also known as Saul of Tarsus or Saint Paul, early Chr ...
(1921) introduced symmetric Minkowski diagrams in German and French papers, where the ct'-axis is perpendicular to the x-axis, as well as the ct-axis perpendicular to the x'-axis (for sources and historical details, see
Loedel diagram A spacetime diagram is a graphical illustration of the properties of space and time in the special theory of relativity. Spacetime diagrams allow a qualitative understanding of the corresponding phenomena like time dilation and length contractio ...
). In 1948 and in subsequent papers, Loedel independently rediscovered such diagrams.''Fisica relativista'', Kapelusz Editorial, Buenos Aires, Argentina (1955).
/ref> They were again rediscovered in 1955 by Henri Amar, who subsequently wrote in 1957 in '' American Journal of Physics'': "I regret my unfamiliarity with South American literature and wish to acknowledge the priority of Professor Loedel's work", along with a note by Loedel Palumbo citing his publications on the geometrical representation of Lorentz transformations. Those diagrams are therefore called "Loedel diagrams", and have been cited by some textbook authors on the subject. Suppose there are two collinear velocities ''v'' and ''w''. How does one find the frame of reference in which the velocities become equal speeds in opposite directions? One solution uses modern algebra to find it: Suppose \tanh \ a \ =\ v/c and \tanh \ b \ = \ w/c, so that ''a'' and ''b'' are rapidities corresponding to velocities ''v'' and ''w''. Let ''m'' = (''a'' + ''b'')/2, the midpoint rapidity. The transformation : z \mapsto z e^ of the
split-complex number In algebra, a split complex number (or hyperbolic number, also perplex number, double number) has two real number components and , and is written z=x+yj, where j^2=1. The ''conjugate'' of is z^*=x-yj. Since j^2=1, the product of a number wi ...
plane represents the required transformation since e^ \mapsto e^ and e^ \mapsto e^. As the exponents are
additive inverse In mathematics, the additive inverse of a number is the number that, when added to , yields zero. This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the additive inverse (opp ...
s of each other, the images represent equal speeds in opposite directions.


Publications

* ''Física Elemental'', Estrada Editorial, Argentina (1941). * Cosmografía (o Elementos de Astronomía), Editorial Estrada, Argentina, 1941. *
"Versos de un físico. Física y razón vital.", La Plata, 1934.

"El convencionalismo en el problema de las magnitudes físicas", Actas del Primer Congreso Nacional de Filosofía (Mendoza 1949), Universidad Nacional de Cuyo, Buenos Aires 1950, tomo III, págs. 1559-1564. (Sesiones: VIII. Epistemología y filosofía de la naturaleza.)
* "Lógica y Metafísica", conference about causality given at the University of La Plata (date undocumented). * Enseñanza de la Física, Editorial Kapelusz, Buenos Aires, Argentina (1949). * ''Física relativista'', Editorial Kapelusz, Buenos Aires, Argentina, 1955.


Notes and references

{{DEFAULTSORT:Loedel Palumbo, Enrique 1901 births 1962 deaths People from Montevideo Uruguayan expatriates in Argentina Uruguayan expatriates in Germany Uruguayan physicists Uruguayan people of Italian descent Relativity theorists