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A 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: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: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: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:scopusThe Collatz conjecture and the quantum mechanical harmonic oscillator
ArticleAbstract: By establishing a dictionary between the QM harmonic oscillator and the Collatz process, it revealsPalabras claves:Collatz conjecture, Qantum mechanics, Quantum oscillatorAutores:Carlos Castro, Ramón Carbö-D̈orcaFuentes:scopusThe Riemann hypothesis and tachyonic off-shell string scattering amplitudes
ArticleAbstract: The study of the 4-tachyon off-shell string scattering amplitude A4(s, t, u) , based on Witten’s opePalabras claves:Autores:Carlos CastroFuentes:scopusThe charge-mass-spin relation of Clifford polyparticles, Kerr-Newman black holes and the fine structure constant
ArticleAbstract: A Clifford-algebraic interpretation is proposed of the charge, mass, spin relationship found recentlPalabras claves:black holes, Clifford algebras, dirac electronAutores:Carlos CastroFuentes:scopus