Q A Gomes de Souza: Difference between revisions
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| alt = Q. A. Gomes de Souza | | alt = Q. A. Gomes de Souza | ||
| residence = Campinas, S. P., Brazil | | residence = Campinas, S. P., Brazil | ||
| nationality = Brazilian | |||
| fields = Mathematical physics | |||
| alma_mater = Universidade Estadual de Campinas | |||
| doctoral_advisor = Waldyr Alves Rodrigues, Jr. | |||
| known_for = Clifford bundle formulation of the gravitational field; Dirac-Hestenes spinor fields | |||
}} | }} | ||
'''Q. A. Gomes de Souza''' (Quintino Augusto Gomes de Souza) is a Brazilian mathematical physicist based in Campinas, São Paulo, Brazil. He is known for his work on Clifford algebra and Clifford bundle methods in gravitation theory, and on the geometric formulation of spinor fields on Riemann-Cartan and Riemann-Cartan-Weyl spacetimes. | |||
==Biography== | |||
Gomes de Souza received his doctorate in 1992 from the Universidade Estadual de Campinas (Unicamp) in Campinas, São Paulo, Brazil. His dissertation, ''Dirac Operators on Riemann-Cartan-Weyl Spacetimes and the Nature of the Gravitational Field'', was supervised by the mathematical physicist Waldyr Alves Rodrigues, Jr., with whom he continued to collaborate on the Clifford-algebraic foundations of field theory. | |||
==Scientific contributions== | |||
Gomes de Souza's research applies the Clifford bundle formalism to general relativity and to the theory of spinor fields. | |||
With W. A. Rodrigues, Jr. he published ''The Clifford Bundle and the Nature of the Gravitational Field'' (''Foundations of Physics'', vol. 23, 1993, pp. 1465–1490), in which Einstein's theory of gravitation is reformulated within the Clifford bundle of differential forms. In that formulation the gravitational field admits an interpretation in the sense of Faraday, as a physical field living in Minkowski spacetime, and the corresponding Lagrangian density is shown to be of Yang-Mills type. | |||
He was also a co-author, with W. A. Rodrigues, Jr., J. Vaz, Jr. and the Finnish mathematician Pertti Lounesto, of ''Dirac-Hestenes Spinor Fields in Riemann-Cartan Spacetime'' (''International Journal of Theoretical Physics'', vol. 35, 1996, pp. 1849–1900; arXiv:hep-th/9607073). This work shows that Dirac-Hestenes spinor fields on a four-dimensional Riemann-Cartan spacetime must be defined as equivalence classes of even sections of the Clifford bundle, and that these classes are sections of a bundle the authors call the Spin-Clifford bundle; the condition for the existence of that bundle is shown to be equivalent to Geroch's theorem on spinor structures in Lorentzian spacetime. | |||
==External links== | |||
* [https://www.genealogy.math.ndsu.nodak.edu/id.php?id=77934 Quintino Gomes de Souza at the Mathematics Genealogy Project] | |||
* [https://arxiv.org/abs/hep-th/9607073 Dirac-Hestenes Spinor Fields in Riemann-Cartan Spacetime (arXiv)] | |||
[[Category:Scientist|de Souza Q. A.]] | [[Category:Scientist|de Souza Q. A.]] | ||
Latest revision as of 07:00, 20 July 2026
Q. A. Gomes de Souza | |
|---|---|
| Residence | Campinas, S. P., Brazil |
| Nationality | Brazilian |
| Alma mater | Universidade Estadual de Campinas |
| Known for | Clifford bundle formulation of the gravitational field; Dirac-Hestenes spinor fields |
| Scientific career | |
| Fields | Mathematical physics |
| Doctoral advisor | Waldyr Alves Rodrigues, Jr. |
Q. A. Gomes de Souza (Quintino Augusto Gomes de Souza) is a Brazilian mathematical physicist based in Campinas, São Paulo, Brazil. He is known for his work on Clifford algebra and Clifford bundle methods in gravitation theory, and on the geometric formulation of spinor fields on Riemann-Cartan and Riemann-Cartan-Weyl spacetimes.
Biography
Gomes de Souza received his doctorate in 1992 from the Universidade Estadual de Campinas (Unicamp) in Campinas, São Paulo, Brazil. His dissertation, Dirac Operators on Riemann-Cartan-Weyl Spacetimes and the Nature of the Gravitational Field, was supervised by the mathematical physicist Waldyr Alves Rodrigues, Jr., with whom he continued to collaborate on the Clifford-algebraic foundations of field theory.
Scientific contributions
Gomes de Souza's research applies the Clifford bundle formalism to general relativity and to the theory of spinor fields.
With W. A. Rodrigues, Jr. he published The Clifford Bundle and the Nature of the Gravitational Field (Foundations of Physics, vol. 23, 1993, pp. 1465–1490), in which Einstein's theory of gravitation is reformulated within the Clifford bundle of differential forms. In that formulation the gravitational field admits an interpretation in the sense of Faraday, as a physical field living in Minkowski spacetime, and the corresponding Lagrangian density is shown to be of Yang-Mills type.
He was also a co-author, with W. A. Rodrigues, Jr., J. Vaz, Jr. and the Finnish mathematician Pertti Lounesto, of Dirac-Hestenes Spinor Fields in Riemann-Cartan Spacetime (International Journal of Theoretical Physics, vol. 35, 1996, pp. 1849–1900; arXiv:hep-th/9607073). This work shows that Dirac-Hestenes spinor fields on a four-dimensional Riemann-Cartan spacetime must be defined as equivalence classes of even sections of the Clifford bundle, and that these classes are sections of a bundle the authors call the Spin-Clifford bundle; the condition for the existence of that bundle is shown to be equivalent to Geroch's theorem on spinor structures in Lorentzian spacetime.