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Clifford 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:scopusAn exceptional E<inf>8</inf> gauge theory of gravity in D = 8, Clifford spaces and grand unification
ArticleAbstract: A candidate action for an Exceptional E8 gauge theory of gravity in 8D is constructed. It is obtainePalabras claves:C-space Gravity, Clifford algebras, Exceptional Algebras, Grand unification, String 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 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 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:scopusFractal strings as an alternative justification for El Naschie's cantorian spacetime and the fine structure constant
ArticleAbstract: Beginning with the most general fractal strings/sprays construction recently expounded in the book bPalabras claves:Autores:Carlos CastroFuentes:scopusNoncommutative geometry, negative probabilities and Cantorian-Fractal spacetime
ArticleAbstract: The Young's two-slit experiment on a quantum particle is explained within the framework of the noncoPalabras claves:Autores:Carlos CastroFuentes:scopusNonlinear W<inf>∞</inf> algebras from nonlinear integrable deformations of self dual gravity
ArticleAbstract: A proposal for constructing a universal nonlinear W ̂∞ algebra is made as the symmetry algebra of aPalabras claves:Autores:Carlos CastroFuentes:scopusNonlinear quantum mechanics as weyl geometry of a classical statistical ensemble
ArticleAbstract: We derive nonlinear relativistic and non-relativistic wave equations for spin-0 and 1/2 particles. FPalabras claves:Dirac equation, Klein-Gordon equation, Schrödinger equation, Weyl geometryAutores:Carlos CastroFuentes:scopus