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(Anti) de Sitter relativity, modified Newtonian dynamics, noncommutative phase spaces and the pioneer anomaly
ArticleAbstract: It is shown how the de-Sitter Relativistic behaviour of the hyperbolic trajectory of Pioneer, due toPalabras claves:Autores:Carlos CastroFuentes:scopusA Chern-Simons E<inf>8</inf> gauge theory of gravity in D = 15, grand unification and generalized gravity in Clifford spaces
ArticleAbstract: A novel Chern-Simons E8 gauge theory of gravity in D = 15 based on an octic E8 invariant expressionPalabras claves:Chern-Simons Gravity, Clifford algebras, E grand unification 8, Extended Relativity in Clifford Spaces, M-TheoryAutores:Carlos CastroFuentes:scopusA Clifford Algebra Realization of Supersymmetry and its Polyvector Extension in Clifford Spaces
ArticleAbstract: It is shown explicitly how to construct a novel (to our knowledge) realization of the Poincaré superPalabras claves:Clifford algebras, M, F theory superalgebras, polyvector-supersymmetry, supersymmetryAutores:Carlos CastroFuentes:scopusA Clifford Cl(5, C) Unified Gauge Field Theory of Conformal Gravity, Maxwell and U(4) × U(4) Yang-Mills in 4D
ArticleAbstract: A Clifford Cl(5, C) Unified Gauge Field Theory of Conformal Gravity, Maxwell and U(4) × U(4) Yang-MiPalabras claves:C-space Gravity, Clifford algebras, Grand unificationAutores:Carlos CastroFuentes:scopusA Clifford algebra-based grand unification program of gravity and the Standard Model: A review study
ReviewAbstract: A Clifford Cl(5, C) unified gauge field theory formulation of conformal gravity and U(4) × U(4) × U(Palabras claves:Autores:Carlos CastroFuentes:scopusA Moyal quantization of the continuous Toda field
ArticleAbstract: Since the lightcone self dual spherical membrane, moving in flat target backgrounds, has a direct coPalabras claves:Autores:Carlos CastroFuentes:scopusA 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: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 note on fractal strings and ℰ<sup>(∞)</sup> spacetime
ArticleAbstract: A short discussion is presented on the role of Mersenne primes and even perfect numbers in fractal sPalabras claves:Autores: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:rraaescopus