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Clifford 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: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: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 Hamiltonian model of the Fibonacci quasicrystal using non-local interactions: simulations and spectral analysis
ArticleAbstract: Abstract: This article presents a Hamiltonian architecture based on vertex types and empires for demPalabras claves:Autores:Carlos Castro, Sen A.Fuentes: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:scopusAdvances in ternary and octonionic gauge field theories
ArticleAbstract: A ternary gauge field theory is explicitly constructed based on a totally antisymmetric ternary-bracPalabras claves:gauge fields, Octonions, ternary algebrasAutores: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: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∞(w1+∞) algebras and baPalabras claves:Grand unification, Higher spins, Kac-moody algebras, Matrix models, membranes, strings, W∞ Gauge theoriesAutores:Carlos CastroFuentes:scopusMoyal deformations of gravity via SU(∞) gauge theories, branes and topological Chern-Simons matrix models
ArticleAbstract: Moyal noncommutative star-product deformations of higher-dimensional gravitational Einstein-HilbertPalabras claves:Branes, Gauge theories, Gravity, holography, Moyal Star products, strings, W-gravityAutores:Carlos CastroFuentes:scopus