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Born's reciprocal general relativity theory and complex non-Abelian gravity as gauge theory of the quaplectic group: A novel path to quantum gravity
ArticleAbstract: Born's reciprocal relativity in flat space-times is based on the principle of a maximal speed limitPalabras claves:Born's reciprocal relativity, Complex non-Abelian gravity, Finsler Geometry, Nonsymmetric gravity, Quaplectic group, stringsAutores:Carlos CastroFuentes:scopusAdvances in ternary and octonionic gauge field theories
ArticleAbstract: A ternary gauge field theory is explicitly constructed based on a totally antisymmetric ternary-bracPalabras claves:gauge fields, Octonions, ternary algebrasAutores:Carlos CastroFuentes:scopusGravity in curved phase-spaces, finsler geometry and two-times physics
ArticleAbstract: The generalized (vacuum) field equations corresponding to gravity on curved 2d-dimensional (dim) tanPalabras claves:Finsler Geometry, Gravity, HamiltonCarten spaces, Phase SpaceAutores:Carlos CastroFuentes:scopusSome consequences of born's reciprocal relativity in phase-spaces
ArticleAbstract: We explore some novel consequences of Born's reciprocal relativity theory in flat phase-space and gePalabras claves:Born's reciprocal relativity, deformed special relativity, Relativity in phase-spacesAutores:Carlos CastroFuentes:scopusStrings and membranes from Einstein gravity, matrix models and W <inf>∞</inf> gauge theories as paths to quantum gravity
ArticleAbstract: It is shown how w∞, w1+∞ gauge field theory actions in 2D emerge directly from 4D gravity. Strings aPalabras claves:Branes, Collective field theory, Higher spins, holography, Matrix models, Moyal brackets, Quantum gravity, strings, W gauge theories ∞, W gravity ∞Autores:Carlos CastroFuentes:scopusThe clifford space geometry behind the pioneer and flyby anomalies
ArticleAbstract: It is rigorously shown how the extended relativity theory in Clifford spaces (C-spaces) can explainPalabras claves:Clifford algebras, Extended Relativity in Clifford Spaces, Pioneer and flybys anomalyAutores:Carlos CastroFuentes:scopusThe clifford space geometry of conformal gravity and u(4) × u(4) yangmills unification
ArticleAbstract: It is shown how a conformal gravity and U(4) × U(4) YangMills grand unification model in four dimensPalabras claves:C-space Gravity, Clifford algebras, Grand unificationAutores:Carlos CastroFuentes:scopusOn (2 + 2)-dimensional space-times, strings and black holes
ArticleAbstract: We study black hole-like solutions (space-times with singularities) of Einstein field equations in 3Palabras claves:2+2 dimensions, black holes, General relativity, stringsAutores:Carlos Castro, Nieto J.Fuentes:scopusOn p-branes and antisymmetric non-Abelian tensorial gauge field theories of diffeomorphisms
ArticleAbstract: It is shown how actions corresponding to antisymmetric non-Abelian tensorial gauge field theories ofPalabras claves:Antisymmetric non-Abelian tensor gauge theories, deformation quantization, Diffeomorphisms, hypermatrices, Large N limit, n-ary algebras, p-branes, Yang-MillsAutores:Carlos CastroFuentes:scopusOn the large N limit, wilson loops, confinement and composite antisymmetric tensor field theories
ArticleAbstract: A novel approach to evaluate the Wilson loops associated with a SU(∞) gauge theory in terms of purePalabras claves:Confinement, Gauge theories, Large N limit, strings, Wilson loopsAutores:Carlos CastroFuentes:scopus