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A gauge theory of gravity in curved phase-spaces
ArticleAbstract: After a cursory introduction of the basic ideas behind Born's Reciprocal Relativity theory, the geomPalabras claves:Born Reciprocity, Finsler Geometry, Gravity, phase-spaceAutores:Carlos CastroFuentes:scopusBorn's Reciprocal Gravity in Curved Phase-Spaces and the Cosmological Constant
ArticleAbstract: The main features of how to build a Born's Reciprocal Gravitational theory in curved phase-spaces arPalabras claves:Born's reciprocal relativity, Finsler Geometry, Hamilton-Cartan spacesAutores:Carlos CastroFuentes:scopusBorn's Reciprocal Relativity theory, curved phase space, Finsler geometry and the cosmological constant
ArticleAbstract: A very brief introduction of the history of Born's Reciprocal Relativity Theory, Hopf algebraic defoPalabras claves:Born Reciprocity, Cosmological constant, Finsler Geometry, Gravity, Phase spacesAutores:Carlos CastroFuentes:scopusBorn'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: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:scopusIs dark matter and black hole cosmology an effect of Born's reciprocal relativity theory?
ArticleAbstract: Born's reciprocal relativity theory (BRRT), based on a maximal proper-force, maximal speed of light,Palabras claves:Born Reciprocity, dark matter, Finsler Geometry, Gravity, Maximal acceleration, Phase spacesAutores:Carlos CastroFuentes:scopusSolutions to the gravitational field equations in curved phase-spaces
ArticleAbstract: After reviewing the basics of the geometry of the cotangent bundle of spacetime, via the introductioPalabras claves:Born Reciprocity, Finsler Geometry, Gravity, Phase SpaceAutores:Carlos CastroFuentes:scopusThermal relativity, corrections to black hole entropy, born’s reciprocal relativity theory, and quantum gravity
ArticleAbstract: Starting with a brief description of Born’s reciprocal relativity theory (BRRT), based on a maximalPalabras claves:black holes, Born Reciprocity, dark matter, entropy, Finsler Geometry, Gravity, Maximal acceleration, Phase spaces, Thermal relativityAutores:Carlos CastroFuentes:scopusOn Born’s Reciprocal Relativity, Algebraic Extensions of the Yang and Quaplectic Algebra, and Noncommutative Curved Phase Spaces
ArticleAbstract: After a brief introduction of Born’s reciprocal relativity theory is presented, we review the constrPalabras claves:Born reciprocal relativity, Finsler Geometry, Phase spaces, Yang AlgebraAutores:Carlos CastroFuentes:scopusOn Superluminal Particles and the Extended Relativity Theories
ArticleAbstract: Superluminal particles are studied within the framework of the Extended Relativity theory in ClifforPalabras claves:Clifford spaces, Extended relativity, Finsler Geometry, superluminalAutores:Carlos CastroFuentes:scopus