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A Clifford-gravity-based cosmology, dark matter and dark energy
ArticleAbstract: A Clifford-gravity-based model is exploited to build a generalized action (beyond the current ones uPalabras claves:Clifford algebras, cosmology, Grand unification, Gravity, inflation, strings, Yang–MillsAutores:Carlos CastroFuentes:scopusA new look at black holes via thermal dimensions and the complex coordinates/ temperature vectors correspondence
ArticleAbstract: The action of active diffeomorphisms (diffs) r → ρ(r) on the Schwarzschild metric leads to metrics wPalabras claves:black holes, General relativity, stringsAutores:Carlos CastroFuentes:scopusA unified description of particles, strings and branes in Clifford spaces and p-brane/polyparticle duality
ArticleAbstract: It is described how the Extended Relativity Theory in C-spaces (Clifford spaces) allows a unified foPalabras claves:Born-Dirac oscillator, Branes, Clifford algebras, Extended Relativity in Clifford Spaces, M-Theory, n-ary commutators, Nambu bracket, polyparticle/p-brane duality, stringsAutores:C Castro, Carlos CastroFuentes:rraaescopusString theory, scale relativity and the generalized uncertainty principle
ArticleAbstract: Extensions (modifications) of the Heisenberg uncertainty principle are derived within the frameworkPalabras claves:Fractals, Planck length, Quantum gravity, Scale relativity, strings, Uncertainty principleAutores:Carlos CastroFuentes:scopusStrings and membranes from Einstein gravity, matrix models and W ∞ gauge theories as paths to quantum gravity
ArticleAbstract: It is shown how w<inf>∞</inf>, w<inf>1+∞</inf> gauge field theory actions in 2D emerge directly fromPalabras claves:Branes, Collective field theory, Higher spins, holography, Matrix models, Moyal brackets, Quantum gravity, strings, W-gravity, W∞ Gauge theoriesAutores:Carlos CastroFuentes:scopusThe extended relativity theory in born-clifford phase spaces with a lower and upper length scales and clifford group geometric unification
ArticleAbstract: We construct the Extended Relativity Theory in Born-Clifford-Phase spaces with an upper R and lowerPalabras claves:Branes, Clifford algebras, Extended relativity, Moyal-Yang algebra, strings, UnificationAutores:Carlos CastroFuentes:scopusW geometry from Fedosov's deformation quantization
ArticleAbstract: A geometric derivation of W<inf>∞</inf> gravity based on Fedosov's deformation quantization of symplPalabras claves:Integrable systems, Moyal-Fedosov quantization, Star products, strings, W-geometryAutores: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:scopusGauge theories of kac-moody extensions of W∞ algebras as effective field theories of colored W∞ strings
ArticleAbstract: A novel invariant gauge field theory realization of Kac-Moody extensions of w<inf>∞</inf>(w<inf>1+∞<Palabras claves:Grand unification, Higher spins, Kac-moody algebras, Matrix models, membranes, strings, W∞ Gauge theoriesAutores:Carlos CastroFuentes:scopusGeneralizations of Schwarzschild and (Anti) de Sitter Metrics in Clifford Spaces
ArticleAbstract: After a very brief introduction to generalized gravity in Clifford spaces (C-spaces), generalized mePalabras claves:Area metrics, Extended Relativity in Clifford Spaces, Gravity, Kawaguchi–Finsler geometry, stringsAutores:Carlos CastroFuentes:scopus