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International Journal of Geometric Methods in Modern Physics(19)
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Chern-Simons hadronic bag from quenched large-N QCD
ArticleAbstract: SU(N) reduced, quenched, gauge theories have been shown to be related to string theories. We extendPalabras claves:Autores:Ansoldi S., Carlos Castro, Spallucci E.Fuentes:scopusClifford Algebra of Spacetime and the Conformal Group
ArticleAbstract: We demonstrate the emergence of the conformal group SO(4,2) from the Clifford algebra of spacetime.Palabras claves:Clifford algebra, Conformal group, Geometric calculusAutores:Carlos Castro, Pavšič M.Fuentes:scopusClifford Algebraic Unification of Conformal Gravity with an Extended Standard Model
ArticleAbstract: A Clifford Cl(5 , C) unified gauge field theory formulation of conformal gravity and U(4) × U(4) × UPalabras claves:Clifford algebras, Grand unification, Gravity, Yang–MillsAutores:Carlos CastroFuentes:scopusClifford space gravitational field equations and dark energy
ArticleAbstract: We continue with the study of Clifford-space (C-space) gravity and analyze further the C-space generPalabras claves:Clifford algebras, Clifford spaces, dark energy, dark matter, extended theories of GravityAutores:Carlos CastroFuentes:scopusComments on the Riemann conjecture and index theory on Cantorian fractal space-time
ArticleAbstract: An heuristic proof of the Riemann conjecture is proposed. It is based on the old idea of Polya-HilbePalabras claves:Autores:Carlos Castro, Mahecha J.Fuentes:scopusAsymptotic safety in quantum gravity and diffeomorphic non-isometric metric solutions to the Schwarzschild metric
ArticleAbstract: We revisit the construction of diffeomorphic but not isometric metric solutions to the SchwarzschildPalabras claves:Asymptotic safety, black holes, General relativity, Phase Space, Quantum gravityAutores:Carlos CastroFuentes:scopusBeyond strings, multiple times and gauge theories of area-scalings relativistic transformations
ArticleAbstract: Nottale's special scale-relativity principle was proposed earlier by the author as a plausible geomePalabras claves:Autores:Carlos CastroFuentes:scopusBohm's potential, classical/quantum duality and repulsive gravity
ArticleAbstract: We propose the notion of a classical/quantum duality in the gravitational case (it can be extended tPalabras claves:(Repulsive) gravity, Bohm's potential, quantum mechanicsAutores: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:scopus