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Bohm's potential, classical/quantum duality and repulsive gravity
ArticleAbstract: We propose the notion of a classical/quantum duality in the gravitational case (it can be extended tPalabras claves:(Repulsive) gravity, Bohm's potential, quantum mechanicsAutores: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:scopusExtended scale relativity, p-loop harmonic oscillator, and logarithmic corrections to the black hole entropy
ArticleAbstract: An extended scale relativity theory, actively developed by one of the authors, incorporates Nottale'Palabras claves:black holes, Extended relativity, stringsAutores:Carlos Castro, Granik A.Fuentes:scopusNonlinear corrections to the Schrödinger equation from geometric quantum mechanics
ArticleAbstract: The nonlinear corrections to the Schrödinger equation based on the results of geometric quantum mechPalabras 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:scopusHow the new scale relativity theory resolves some quantum paradoxes
ArticleAbstract: It is explicitly shown that within the framework of the New Relativity Theory, some Quantum MechanicPalabras claves:Autores:Carlos Castro, Granik A.Fuentes:scopusOn Nonlinear Quantum Mechanics, Noncommutative Phase Spaces, Fractal-Scale Calculus and Vacuum Energy
ArticleAbstract: A (to our knowledge) novel Generalized Nonlinear Schrödinger equation based on the modifications ofPalabras claves:Noncommutative phase spaces, Nonlinear Quantum Mechanics, Scale fractal calculus, Vacuum energyAutores:Carlos CastroFuentes:scopusOn Weyl geometry, random processes, and geometric quantum mechanics
ArticleAbstract: This paper discusses some of the technical problems related to a Weylian geometrical interpretationPalabras claves:Autores:Carlos CastroFuentes:scopusOn modified Weyl-Heisenberg algebras, noncommutativity, matrix-valued Planck constant and QM in Clifford spaces
ArticleAbstract: A novel Weyl-Heisenberg algebra in Clifford spaces is constructed that is based on a matrix-valued HPalabras claves:Autores:Carlos CastroFuentes:scopusOn the WKB quantum equivalence between diverse p-brane actions
ArticleAbstract: We consider an action for a closed, bosonic, p-brane, where the brane tension is not an assigned parPalabras claves:Autores:Ansoldi S., Carlos Castro, Spallucci E.Fuentes:scopus