Jorge Gonçalves Cardoso

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Produções bibliográficas

• J. G. CARDOSO ; CARDOSO, J G ; On the Weyl Tensor for a Curved Spacetime Endowed with a Torsionful Affinity. ANNALS OF PHYSICS , v. 474, p. 1/169926-4, 2025.

• J. G. CARDOSO ; CARDOSO, J G ; The non-singular Trautman?Kopczyński big-bang model and a torsional spinor description of dark matter. EUROPEAN PHYSICAL JOURNAL C. PARTICLES AND FIELDS , v. 83, p. 1-12, 2023.

• J. G. Cardoso . A Torsional Two-Component Description of the Motion of Dirac Particles at Early Stages of the Cosmic Evolution. International Journal of Theoretical Physics , v. 62, p. 1/2023) 62:251-16, 2023.

• SANTOS, S. I. ; Cardoso, J. G. . Two-Component Theory of Classical Proca Fields in Curved Spacetimes with Torsionless Affinities. Journal of Physics. Conference Series (Print) , v. 706, p. 052033, 2016.

• SANTOS JÚNIOR, S. I. ; Cardoso, J. G. . Wave Equations for Classical Two-Component Proca Fields in Curved Spacetimes with Torsionless Affinities. Brazilian Journal of Physics (Impresso) , v. 46, p. 1-7, 2016.

• J. G. CARDOSO ; CARDOSO, J G ; Two-component spinors in spacetimes with torsionful affinities. European Physical Journal Plus , v. 130, p. 10-24, 2015.

• J. G. CARDOSO . A local description of dark energy in terms of classical two-component massive spin-one uncharged fields on spacetimes with torsionful affinities. Central European Journal of Physics , v. 13, p. 339-348, 2015.

• Karla Weber ; CARDOSO, J. G. ; J. G. CARDOSO . Absence of Differential Correlations Between the Wave Equations for Upper-Lower One-Index Twistor Fields Borne by the Infeld-van derWaerden Spinor Formalisms for General Relativity. Advances in Applied Clifford Algebras , p. 1-9, 2014.

• J. G. CARDOSO . The Classical Two-Component Spinor Formalisms for General Relativity I. Advances in Applied Clifford Algebras , v. 22, p. 955-983, 2012.

• J. G. CARDOSO . The Classical Two-Component Spinor Formalisms for General Relativity II. Advances in Applied Clifford Algebras , v. 22, p. 985-1008, 2012.

• Cardoso, J. G. . On the Integrability Conditions for Infeld-Van der Waerden Spin-Affine Connexions. International Journal of Theoretical Physics , v. 51, p. 2559-2563, 2012.

• Cardoso, J. G. . Pseudo-unitary dynamics of free relativistic quantum mechanical twofold systems. EUR PHYS J PLUS , v. 127, p. 48-77, 2012.

• Cardoso, J. G. . Erratum to: The Infeld-van der Waerden formalisms for general relativity. The European Physical Journal. D, Atomic, Molecular and Optical Physics (Print) , v. 66, p. 199, 2012.

• Kuerten, André M. ; Cardoso, J. G. . Null Infeld-van der Waerden Electromagnetic Fields from Geometric Sources. International Journal of Theoretical Physics , v. 50, p. 3007-3014, 2011.

• ALBRECHT, Ricardo ; J. G. CARDOSO . FIELD AND WAVE EQUATIONS FOR GRAVITONS WITH ELECTROMAGNETIC SOURCES WITHIN THE FRAMEWORKS OF THE INFELD-VAN DER WAERDEN SPINOR FORMALISMS FOR GENERAL RELATIVITY. EUR PHYS J PLUS , v. 126, p. 1-9, 2011.

• CARDOSO, J. G. ; Cardoso, J. G. . Erratum to: Wave equations for gravitons with sources within the frameworks of the Infeld-van der Waerden spinor formalisms. Il Nuovo Cimento della Società Italiana di Fisica. B (Testo stampato) , v. 125B, p. 1261-1262, 2011.

• Cardoso, J. G. . A FULL DESCRIPTION OF THE INTEGRABILITY CONDITION FOR THE TWISTOR EQUATION IN CURVED SPACETIMES AND NEW WAVE EQUATIONS FOR CONFORMALLY INVARIANT SPINOR FIELDS. Journal of Mathematical Physics , v. 51, p. 0235131-0235137, 2010.

• J. G. CARDOSO . TRANSFORMATION LAWS FOR DECOMPOSABLE WORLD-SPIN AFFINITIES IN A CLASS OF CONFORMALLY FLAT SPACETIMES. International Journal of Theoretical Physics , v. 49, p. 1274-1287, 2010.

• JGCARDOSO ; J. G. CARDOSO . WAVE EQUATIONS FOR GRAVITONS WITH SOURCES WITHIN THE FRAMEWORKS OF THE INFELD-VAN DER WAERDEN SPINOR FORMALISMS. Il Nuovo Cimento della Società Italiana di Fisica. B (Testo stampato) , v. 124B, p. 631-643, 2009.

• J. G. CARDOSO . INFELD-VAN DER WAERDEN WAVE FUNCTIONS FOR GRAVITONS AND PHOTONS. Acta Physica Polonica B , Warsaw, v. 38, p. 1001-1011, 2007.

• J. G. CARDOSO ; CARDOSO, Jg ; WAVE EQUATIONS FOR CLASSICAL TWO-COMPONENT DIRAC FIELDS IN CURVED SPACETIMES WITHOUT TORSION. Classical and Quantum Gravity , INGLATERRA, v. 23, p. 4151-4157, 2006.

• J. G. CARDOSO . TWO-SPINOR CURVATURE STRUCTURES FOR A CLASS OF CONFORMALLY FLAT SPACETIMES. Journal of Mathematical Physics , EUA, v. 46, n.1, p. 042504 1-042504 8, 2005.

• J. G. CARDOSO ; CARDOSO, J G ; THE INFELD-VAN DER WAERDEN FORMALISMS FOR GENARAL RELATIVITY. Czechoslovak Journal of Physics , República Tcheca, v. 55, n.4, p. 401-462, 2005.

• J. G. CARDOSO ; CARDOSO, J G ; EXPLICIT TWISTOR EXPRESSIONS FOR COMPLEXIFIED MAXWELL FIELDS. Europhysics Letters , França, v. 70, n.4, p. 1-5, 2005.

• J. G. CARDOSO ; CARDOSO, J G ; EXPLICIT TWO-COMPONENT SPINOR COMMUTATORS FOR QUANTIZED ELECTROMAGNETIC FIELDS. International Journal of Modern Physics A , Singapura, v. 20, n.28, p. 6365-6372, 2005.

• J. G. CARDOSO ; CARDOSO, J G ; A COVARIANT ALGEBRAIC DESCRIPTION OF CARTAN's SPACE. Il Nuovo Saggiatore , Itália, v. 119B, n.11, p. 1041-1066, 2004.

• J. G. CARDOSO ; CARDOSO, J G ; A COVARIANT REPRESENTATION THEORY FOR LINEAR OPERATORS IN CARTAN's SPACE. Il Nuovo Saggiatore , Itália, v. 119B, n.11, p. 1085-1103, 2004.

• J. G. CARDOSO ; CARDOSO, J G ; A TWISTORIAL DESCRIPTION OF THE DYNAMICS OF COMPLEXIFIED ELECTROMAGNETIC FIELDS. Acta Physica Polonica B , Varsóvia, v. 32, n.1, p. 29-46, 2001.

• CARDOSO, J G ; CARDOSO, J. G. . Erratum to: General techniques for evaluating twistor diagrams. International Journal of Theoretical Physics , v. 38, p. 1835, 1999.

• J. G. CARDOSO ; CARDOSO, J G ; GENERAL TECHNIQUES FOR EVALUATING TWISTOR DIAGRAMS. International Journal of Theoretical Physics , EUA, v. 37, n.7, p. 1857-1894, 1998.

• J. G. CARDOSO ; CARDOSO, J G ; A TWISTORIAL DESCRIPTION OF THE DYNAMICS OF COMPLEXIFIED DIRAC FIELDS. Czechoslovak Journal of Physics , República Tcheca, v. 49, n.4, p. 439-453, 1998.

• J. G. CARDOSO ; CARDOSO, J G ; TWISTOR DIAGRAMS FOR SPINNING MASSLESS FREE FIELDS. International Journal of Theoretical Physics , EUA, v. 36, n.7, p. 1641-1649, 1997.

• J. G. CARDOSO ; CARDOSO, J G ; TWISTORIAL DYNAMICS OF COMPLEXIFIED KLEIN-GORDON FIELDS. CZECH. JOURNAL OF PHYSICS, CZECH REPUBLIC, v. 47, n.8, p. 747-754, 1997.

• J. G. CARDOSO ; CARDOSO, J G ; REAL WAVE EQUATIONS AND EXACTNESS RELATIONS FOR COMPLEXIFIED MAXWELL- DIRAC FIELDS. ACTA PHYSICA POLONICA B, POLÔNIA, v. 28, n.5, p. 1137-1153, 1997.

• J. G. CARDOSO ; CARDOSO, J G ; A DIAGRAMMATIC DESCRIPTION OF THE PROCESSES OF MASS SCATTERING OF DIRAC FIELDS. CZECH. JOURNAL OF PHYSICS, REPÚBLICA TCHECA, v. 47, n.3, p. 269-304, 1997.

• J. G. CARDOSO ; CARDOSO, J G ; WAVE EQUATIONS AND KINEMATICAL INTEGRALS FOR COMPLEXIFIED MAXWELL- KLEIN-GORDON FIELDS. Journal of Mathematical Physics , EUA, v. 38, n.5, p. 2297-2307, 1997.

• J. G. CARDOSO ; CARDOSO, J G ; TWO-COMPONENT SPINOR FORMULATION OF THE THEORY OF MAXWELL-DIRAC FIELDS IN CURVED SPACETIMES WITHOUT TORSION. NUOVO CIMENTO, Itália, v. 111B, n.5, p. 575-591, 1996.

• J. G. CARDOSO ; CARDOSO, J G ; TWISTOR-DIAGRAM EQUALITIES FOR MASS-SCATTERING INTEGRAL EXPRESSIONS FOR DIRAC FIELDS. CZECH. JOURNAL OF PHYSICS, República Tcheca, v. 44, n.7, p. 663-686, 1994.

• J. G. CARDOSO ; CARDOSO, J G ; NULL DYNAMICS OF CLASSICAL MAXWELL-DIRAC FIELDS. ACTA PHYSICA POLONICA B, Polônia, v. 25, n.11, p. 1495-1546, 1994.

• J. G. CARDOSO ; CARDOSO, J G ; A TWISTORIAL DESCRIPTION OF THE MASS SCATTERING OF DIRAC FIELDS. JOURNAL OF MATHEMATICAL PHYSICS, EUA, v. 35, n.1, p. 294-309, 1994.

• J. G. CARDOSO ; CARDOSO, J G ; CONSTRUCTION OF A TWISTOR DIAGRAM FOR THE CHARGE INTEGRAL OF THE COMPLEXIFIED THEORY OF DIRAC FIELDS. CZECH. JOURNAL OF PHYSICS, República Tcheca, v. 44, n.6, p. 557-563, 1994.

• J. G. CARDOSO ; CARDOSO, J G ; NEW TWISTOR DIAGRAMS FOR MASSLESS FREE FIELDS OF ARBITRARY SPIN. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, Inglaterra, v. 8, n.14, p. 2437-2446, 1993.

• J. G. CARDOSO ; CARDOSO, J G ; COMPLEXIFIED THEORY OF POSITIVE-FREQUENCY MAXWELL-DIRAC FIELDS. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, Inglaterra, v. 8, n.14, p. 3697-3719, 1993.

• J. G. CARDOSO ; CARDOSO, J G ; COMPLEXIFIED TWO-SPINOR THEORY OF POSITIVE-FREQUENCY DIRAC FIELDS. Acta Physica Polonica B , Polônia, v. 24, p. 1481-1493, 1993.

• J. G. CARDOSO ; CARDOSO, J G ; COMPLEXIFIED TWO-COMPONENT SPINOR THEORY OF DIRAC-WEYL FIELDS. PHYSICA SCRIPTA, Suécia, v. 47, p. 705-707, 1993.

• J. G. CARDOSO ; CARDOSO, J G ; COMPLEXIFIED THEORY OF POSITVE-FREQUENCY PHOTONS. ANNALS OF PHYSICS, Holanda, v. 221, n.2, p. 341-355, 1993.

• J. G. CARDOSO ; CARDOSO, J G ; CONSTRUCTION OF A TWISTOR DIAGRAM FOR THE ELECTROMAGNETIC ENERGY-MOMENTUM FOUR-VECTOR. PHYSICA SCRIPTA, Suécia, v. 47, p. 708-711, 1993.

• J. G. CARDOSO ; CARDOSO, J G ; BESSEL FUNCTION EXPRESSIONS FOR DIRAC FIELDS. Journal of Mathematical Physics , EUA, v. 33, n.3, p. 1109-1113, 1992.

• J. G. CARDOSO ; CARDOSO, J G ; TWISTOR-DIAGRAM REPRESENTATION OF MASS-SCATTERING INTEGRAL EXPRESSIONS FOR DIRAC FIELDS. ACTA PHYSICA POLONICA B, Polônia, v. 23, p. 887-906, 1992.

• J. G. CARDOSO ; CARDOSO, J G ; REAL WAVE EQUATIONS FOR POSITIVE-FREQUENCY ELECTROMAGNETIC FIELDS. JOURNAL OF MATHEMATICAL PHYSICS, EUA, v. 33, n.6, p. 2169-2175, 1992.

• J. G. CARDOSO ; CARDOSO, J G ; TWO-COMPONENT SPINOR FORMULATION OF THE MAXWELL THEORY. ACTA PHYSICA POLONICA B, Polônia, v. 23, p. 907-926, 1992.

• J. G. CARDOSO . NEW TWISTORIAL INTEGRAL FORMULAE FOR MASSLESS FREE FIELDS OF ARBTRARY SPIN. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, EUA, v. 30, n.4, p. 447-462, 1991.

• J. G. CARDOSO ; CARDOSO, J G ; GENERALIZED MASS-SCATTERING INTEGRAL EXPRESSIONS AND THEIR GRAPHICAL REPRESENTATION. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, EUA, v. 30, n.12, p. 1565-1588, 1991.

• J. G. CARDOSO ; CARDOSO, J G ; The Classical World and Spinor Formalisms of General Relativity. In: Cameron Williams (Series: Physics Research and Technology). (Org.). Advances in General Relativity Research. 1ed.New York: Nova Science Publishers, 2015, v. 1, p. 1-60.

• J. G. CARDOSO . Wave Equations for Invariant Infeld-van der Waerden Wave Functions for Photons and Their Physical Significance. In: William L. Dahl. (Org.). Photonic Crystals: Optical Properties, Fabrication and Applications. New York: Nova Science Publishers, Inc., 2010, v. , p. -.

• J. G. CARDOSO . EXPLICIT SPIN-AFFINE FORMULAE FOR CLASSICAL GENERAL RELATIVITY. In: SECOND SAMOS MEETING ON COSMOLOGY, GEOMETRY AND RELATIVITY, 1998, SAMOS ISLAND. NÃO PUBLICADO, 1998.

• J. G. CARDOSO . NEW TWO-COMPONENT SPINOR FORMULAE FOR CLASSICAL GENERAL RELATIVITY. In: EIGHTH MARCEL GROSSMANN MEETING ON GENERAL RELATIVITY, 1997, JERUSALEM. PROCEEDINGS OF THE EIGHTH MARCEL GROSSMANN MEETING ON GENERAL RELATIVITY. Singapore: World Scientific, 1997. v. A. p. 641-643.

• J. G. CARDOSO ; CARDOSO, J G ; TWO-COMPONENT SPINOR FORMULATION OF THE THEORY OF QUANTIZED MAXWELL FIELDS IN CURVED SPACETIMES WITHOUT TORSION. In: THIRD ALEXANDER FRIEDMANN INTERNATIONAL SEMINAR ON GRAVITATION AND COSMOLOGY, 1996, ST PETERSBURG. PROCEEDINGS OF THE THIRD ALEXANDER FRIEDMANN INTERNATIONAL SEMINAR ON GRAVITATION AND COSMOLOGY, 1996.

• J. G. CARDOSO . A TWISTOR DIAGRAM FOR THE ELECTROMAGNETIC ENERGY-MOMENTUM FOUR-VECTOR. In: SIXTH MARCEL GROSSMANN MEETING ON GRAVITATION, 1993, KYOTO, JAPAO. PROCEEDINGS OF THE SIXTH MARCEL GROSSMANN MEETING ON GRAVITATION, 1993.

• J. G. CARDOSO . A COMPLEXIFIED VERSION OF THE TWO-COMPONENT SPINOR THEORY OF POSITIVE-FREQUENCY MAXWELL FIELDS. In: MINI-WORKSHOP ON RELATIVITY, COSMOLOGY AND ASTROPHYSICS, 1991, ISLAMABAD, PAQUISTAO. PROCEEDINGS OF THE MINI-WORKSHOP ON RELATIVITY, COSMOLOGY AND ASTROPHYSICS, 1991.

• J. G. CARDOSO . CONSTRUCTION OF A TWISTOR DIAGRAM FOR THE CHARGE INTEGRAL FOR DIRAC FIELDS. In: THE EIGHTH CHITTAGONG CONFERENCE ON MATHEMATICAL PHYSICS, 1991, CHITTAGONG, BANGLADESH. PROCEEDINGS OF THE EIGHTH CHITTAGONG CONFERENCE ON MATHEMATICAL PHYSICS, 1991.

• J. G. CARDOSO ; CARDOSO, J G ; TWISTOR THEORY: SOME OF ITS BASIC ASPECTS. In: THIRD NATIONAL SYMPOSIUM ON FRONTIERS IN PHYSICS, 1990, ISLAMABAD, PAQUISTAO. PROCEEDINGS OF THE THIRD NATIONAL SYMPOSIUM ON FRONTIERS IN PHYSICS, 1990.

• J. G. CARDOSO . CONSTRUCTION OF NEW TWISTOR DIAGRAMS FOR SPINNING MASSLESS FREE FIELDS. In: PRIMEIRA JORNADA ACADEMICA DA UDESC, 1996, JOINVILLE, SANTA CATARINA. ANAIS DA PRIMEIRA JORNADA ACADEMICA DA UDESC, 1996.

• J. G. CARDOSO . A TWISTORIAL VARIATIONAL PRINCIPLE FOR MASSIVE CHARGED SCALAR FIELDS. In: TERCEIRA JORNADA DE PESQUISA DA UDESC, 1995, JOINVILLE, SANTA CATARINA. ANAIS DA TERCEIRA JORNADA DE PESQUISA DA UDESC, 1995.

• J. G. CARDOSO . INTEGRAIS FORMAIS EXPLÍCITAS EM TERMOS DE FUNÇÕES DE GREEN PARA CAMPOS DE MAXWELL-DIRAC COMPLEXIFICADOS. In: SEGUNDA JORNADA DE PESQUISA DA UDESC, 1994, JOINVILLE, SANTA CATARINA. ANAIS DA SEGUNDA JORNADA DE PESQUISA DA UDESC, 1994.

• J. G. CARDOSO . NEW TWO-COMPONENT SPINOR FORMULAE FOR CLASSICAL GENERAL RELATIVITY. 1997. (Apresentação de Trabalho/Congresso).

• J. G. CARDOSO . TWO-COMPONENT SPINOR FORMULATION OF THE THEORY OF QUANTIZED MAXWELL FIELDS IN CURVED SPACETIMES WITHOUT TORSION. 1996. (Apresentação de Trabalho/Congresso).

• J. G. CARDOSO . CONSTRUCTION OF NEW TWISTOR DIAGRAMS FOR SPINNING MASSLESS FREE FIELDS. 1996. (Apresentação de Trabalho/Outra).

• J. G. CARDOSO . A TWISTORIAL VARIATIONAL PRINCIPLE FOR MASSIVE CHARGED SCALAR FIELDS. 1995. (Apresentação de Trabalho/Outra).

• J. G. CARDOSO . INTEGRAIS FORMAIS EXPLÍCITAS EM TERMOS DE FUNÇÕES DE GREEN PARA CAMPOS DE MAXWELL-DIRAC COMPLEXIFICADOS. 1994. (Apresentação de Trabalho/Outra).

• J. G. CARDOSO . A TWISTOR DIAGRAM FOR THE ELECTROMAGNETIC ENERGY-MOMENTUM FOUR-VECTOR. 1993. (Apresentação de Trabalho/Congresso).

• J. G. CARDOSO . TWO-COMPONENT SPINOR FORMULATION OF THE THEORY OF CLASSICAL MAXWELL- DIRAC FIELDS IN A CURVED SPACETIME WITHOUT TORSION. 1993. (Apresentação de Trabalho/Congresso).

• J. G. CARDOSO . A COMPLEXIFIED VERSION OF THE TWO-COMPONENT SPINOR THEORY OF POSITIVE-FREQUENCY MAXWELL FIELDS. 1991. (Apresentação de Trabalho/Congresso).

• J. G. CARDOSO . CONSTRUCTION OF A TWISTOR DIAGRAM FOR THE CHARGE INTEGRAL FOR DIRAC FIELDS. 1991. (Apresentação de Trabalho/Congresso).

• J. G. CARDOSO . TWISTOR THEORY: SOME OF ITS BASIC ASPECTS. 1990. (Apresentação de Trabalho/Congresso).

• J. G. CARDOSO . A Twistorial Description of the Null Dynamics of Maxwell-Dirac Fields 1992 (Ph. D. Thesis).

• J. G. CARDOSO . Mass Scattering of Dirac Fields 1988 (M. Sc. Thesis).

• J. G. CARDOSO . Twistors e Espaço de Minkowski Complexo 1979 (Dissertação de Mestrado).

Projetos de pesquisa

• 2021 - 2023

  A Torsional Two-Component Description of the Motion of Dirac Particles at Early Stages of the Cosmic Evolution, Descrição: It is assumed that the non-singular big-bang birth of the Universe as set forth by Einstein-Cartan's theory particularly brought about the appearance of the cosmic microwave and dark energy backgrounds, dark matter, gravitons as well as of Dirac particles. On account of this assumption, a two-component description of the motion of quarks and leptons prior to the occurrence of hadronization is presented within the framework of the torsionful ε-formalism of Infeld and van der Waerden. The relevant field equations are settled on the basis of the implementation of conjugate minimal coupling covariant derivative operators that carry additively typical potentials for the cosmic backgrounds such as geometrically specified in a previous work. It appears that the derivation of the wave equations which control the spacetime propagation of Dirac fields at very early stages of the cosmic evolution, must be tied up with the applicability of certain subsidiary relations. The wave equations themselves suggest that quarks and leptons interact not only with both of the cosmic backgrounds, but also with dark matter. Nevertheless, it becomes manifest that the inner structure of the framework allowed for does not give rise at all to any interaction between gravitons and Dirac particles. The overall formulation ascribes an intrinsically non-geometric character to Dirac's theory, in addition to exhibiting a formal evidence that dark energy and dark matter must have partaken of a cosmic process of hadronization.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Integrante / J G Cardoso - Coordenador.

• 2019 - 2023

  The non-singular Trautman-Kopczyński big-bang model and a torsional spinor description of dark matter, Descrição: A view is taken up whereby the non-singular Trautman-Kopczyński big-bang creation of the Universe produced a highly torsional hot state at early stages of the cosmic evolution which particularly brought about the formation of a dark matter cloud. It is thus assumed that the combination of Einstein-Cartan's theory with the torsionful version of the two-component ε-formalism of Infeld and van der Waerden supplies a natural local description of dark matter in terms of uncharged spin-one massive fields. In the case of either handedness, the pertinent spinor field equation arises directly from a suitable form of the world Bianchi identity. It appears that each such field equation bears a term that is thought of as carrying part of the information on the mass of the fields. The whole information turns out to be extracted by well prescribed derivatives of certain couplings involving the fields and spinor torsion pieces in such a way that the mass of dark matter is really thought of as arising from the interaction between the fields and spinor torsion.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Integrante / J G Cardoso - Coordenador.

• 2013 - 2015

  Descrição Espinorial do Fundo Cósmico de Microondas e da Energia Escura do Universo, Descrição: It is assumed that the two-component spinor formalisms for curved spacetimes that are endowed with torsionful affine connexions can supply a local description of dark energy in terms of classical massive spin-one uncharged fields. The relevant wave functions are related to torsional affine potentials which bear invariance under the action of the generalized Weyl gauge group. Such potentials are thus taken to carry an observable character and emerge from contracted spin affinities whose patterns are chosen in a suitable way. New covariant calculational techniques are then developed towards deriving explicitly the wave equations that supposedly control the propagation in spacetime of the dark energy background. What immediately comes out of this derivation is a presumably natural display of interactions between the fields and both spin torsion and curvatures. The physical properties that may arise directly from the solutions to the wave equations are not brought out.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Coordenador.

• 2012 - 2015

  Construction of Covariant Computational Gates and Relativistic Quantum Information Theory, Descrição: A pseudo-unitary approach to the dynamics of free elementary particles is utilized to build up explicitly a set of computational gates which bear invariance under the unitary subgroup of SU(2,2). This construction shall make it feasible to carry out the formulation of a natural relativistic quantum information theory that exhibits Poincaré-covariant observational correlations.. , Situação: Concluído; Natureza: Pesquisa. , Alunos envolvidos: Graduação: (0) / Especialização: (0) / Mestrado acadêmico: (0) / Mestrado profissional: (0) / Doutorado: (0) . , Integrantes: Jorge Gonçalves Cardoso - Integrante / J G Cardoso - Coordenador.

• 2010 - 2015

  Descrição da Energia Escura Cósmica em Termos de Campos de Procca Oriundos de Estruturas Espinoriais com Torção, Descrição: Um bivetor de Procca clássico é introduzido o qual envolve um potencial definido em termos do gradiente de um campo escalar real massivo. Os operadores diferenciais covariantes utilizados, portam efetivamente um caráter puramente torcional tal que as funções de onda associadas com o bivetor constituem uma típica decomposição espinorial torcional, massiva, elètricamente neutra e não-autointeragente. É sugerido que tais funções de onda devem descrever a dinâmica da energia escura do universo, deste modo indicando que a energia escura é uma manifestação física da torção de certas regiões do universo. Certos métodos calculacionais serão estabelecidos e utilizados para obter as equações de onda às quais os quanta de energia escura devem estar sujeitos. Deste modo, a evolução temporal cósmica da densidade e pressão da energia escura será implicitamente fornecida.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Coordenador.

• 2009 - 2011

  Correlations Between Wave Equations for Upper-Lower One-Index Conformally Invariant Spinor Fields Within the Frameworks of the Infeld-van der Waerden γε-Formalisms, Descrição: It is emphasized that the wave equations for any upper-lower one-index conformally invariant spinor fields which take place in the frameworks of the Infeld-van der Waerden formalisms must be formally the same. The only reason for the occurrence of this result seems to be directly related to the fact that the spinor translation of the conformal Killing equation yields twistor equations of the same form. It thus appears that the conventional torsionless covariant devices for keeping track of valences of differential configurations turn out not to be useful for sorting out the correlations between the index structures at issue.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Coordenador.

• 2009 - 2010

  Wave Equations for Invariant Infeld-van der Waerden Wave Functions for Photons and Their Physical Significance, Descrição: The inner structure of the γε-formalisms of Infeld and van der Waerden admits the occurrence of spin-tensor electromagnetic fields which bear invariance under the action of the generalized Weyl gauge group. A concise derivation of the wave equations for such fields is carried out explicitly along with the construction of a set of torsionless covariant-derivative expressions. It is emphatically pointed out that the integration of the wave equations arising herein may under certain circumstances produce significant insights into the situation concerning the description of some physical properties of the cosmic microwave background.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Coordenador.

• 2009 - 2010

  On the Integrability Conditions for Infeld-van der Waerden Spin-Affine Connexions, Descrição: The integrability condition that must be formally fulfilled by any Infeld-van der Waerden spin-affine connexion is derived explicitly. Some geometric properties of the results of the action of torsionless covariant commutators on arbitrary spin tensors and densities are then brought out. The relevant calculations will presumably ensure the consistency of any procedures that involve utilizing normally the traditional two-component-spinor methods for classical general relativity.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Coordenador.

• 2009 - 2010

  Description of the World Behaviour of Decomposable Spin Affinities on a Class of Conformally Flat Spacetimes, Descrição: It is pointed out that the implementation of the world affinities utilized in an earlier work for describing some properties of a class of conformally flat spacetimes produces the loss of the strongly required world-covariant character of the real parts of the corresponding contracted spin-affine patterns. It becomes manifest that there is an essentially unique spin-metric prescription lying in the framework of the γ-formalism of Infeld and van der Waerden whereby the aforesaid covariant character may be recovered.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Coordenador.

• 2009 - 2009

  Wave Equations for Gravitons with Sources Within the Frameworks of the Infeld-van der Waerden Spinor Formalisms, Descrição: The gravitational Bianchi identity tied in with the Infeld-van der Waerden γε-formalisms is utilized to write down a set of field equations for gravitons. In either formalism, the right-hand sides of the respective field equations exhibit covariant differential configurations that may be looked upon as physically meaningful sources. Certain calculational techniques are subsequently employed to carry out a derivation of new wave equations. It appears that such wave equations constitute a formal extension of the gravitational two-component-spinor statements given hitherto.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Coordenador.

• 2009 - 2009

  Transformation Laws for Decomposable World-Spin Affinities in a Class of Conformally Flat Spacetimes, Descrição: A class of conformally flat spacetimes that admit certain decomposable world-spin affine patterns is considered. New coordinate-derivative relations are particularly utilized to demonstrate that the procedures involved in a well-known spinor translation of the corresponding Riemann and Ricci tensors bear world invariance. The establishement of this invariance property will presumably shed some light upon the overall spacetime situation taken up by the underlying works.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Coordenador.

• 2008 - 2011

  Mecânica Quântica de Partículas Elementares, Descrição: Métodos puramente quanto-mecânicos para descrever-se processos de espalhamento de partículas elementares de qualquer energia são propostos sistematicamente.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Coordenador.

• 2008 - 2011

  A Concise Version of the Classical Two-Component-Spinor Formalisms for General Relativity, Descrição: The most elementary aspects of the classical γε-formalisms of Infeld and van-der-Waerden are described to a considerable extent. It is pointed out that spin-affine structures can be most naively defined by carrying out parallel displacements of null world vectors within the framework of the γ-formalism. A fairly complete algebraic description of curvature splittings is presented on the basis of the construction of a set of torsionless covariant commutators for each formalism. It turns out that the implementation of such commutators under certain circumstances gives rise to a system of wave equations for gravitons and geometric photons which possess in either formalism a gauge-invariance property associated with appropriate spinor-index configurations. The situation regarding the derivation of the natural couplings between Dirac fields and geometric photons is entertained. A particular class of conformally flat spacetimes that admit decomposable world-spin affine patterns is likewise considered.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Coordenador.

• 2008 - 2011

  The Classical Two-Component Spinor Formalisms for General Relativity, Descrição: The classical two-component spinor formalisms for general relativity as built up by Infeld and van der Waerden afford an elegant approach to spacetime geometry. Deeply involved in the inner structure of these formalisms is the beautiful theory of spin densities of Schouten. In this review Schouten's theory is presented in detail. It is pointed out that spin affinities can most naively be introduced by carrying out parallel displacements of null world vectors. A complete algebraic description of spin curvatures is accomplished on the basis of the construction of a set of torsionless covariant commutators. It turns out that the implementation of such commutators under certain circumstances gives rise to a system of wave equations for gravitons and photons which possess a gauge-invariance property associated with appropriate spinor-index configurations. The situation regarding the derivation of the natural couplings between Dirac fields and spin curvatures is entertained.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Coordenador.

• 2008 - 2010

  A Full Description of the Integrability Condition for the Twistor Equation in Curved Spacetimes and New Wave Equations for Conformally Invariant Spinor Fields, Descrição: The consistency condition associated to the feasibility of setting out the twistor equation in curved spacetimes is considered within the frameworks of the Infeld-van der Waerden γε-formalisms. It appears that the ε-formalism version of the condition bears a simpler form because of the applicability of a peculiar differential property of spin-tensor densities whose weights and antiweights are suitably related to their valences. Certain calculational techniques are likewise utilized for deriving a set of new wave equations.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Coordenador.

• 2006 - 2010

  Pseudo Unitary Dynamics of Relativistic Quantum Mechanical Twofold Systems, Descrição: A finite-dimensional pseudo-unitary framework is set up for describing the dynamics of free elementary particles in a purely relativistic quantum mechanical way. States of any individual particles or antiparticles are defined as suitably normalized vectors belonging to the two-complex-dimensional spaces that occur in local orthogonal decompositions of isomorphic copies of Cartan's space. The corresponding dynamical variables thus show up as bounded pseudo-Hermitian operator restrictions that possess real discrete spectra. Any measurement processes have to be performed locally in orthocronous proper Lorentz frames, but typical observational correlations are expressed in terms of symbolic configurations which come from the covariant action on spaces of state vectors of the Poincaré subgroup of an adequate realization of SU(2,2). The overall approach turns out to supply a supposedly natural description of the dynamics of free twofold systems in flat spacetime. One of the main outlooks devised here brings forward the possibility of carrying out methodically the construction of a background to a new relativistic theory of quantum information.. , Situação: Concluído; Natureza: Pesquisa. , Integrantes: Jorge Gonçalves Cardoso - Integrante / J G Cardoso - Coordenador.