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Born's Reciprocal Gravity in Curved Phase-Spaces and the Cosmological Constant
ArticleAbstract: The main features of how to build a Born's Reciprocal Gravitational theory in curved phase-spaces arPalabras claves:Born's reciprocal relativity, Finsler Geometry, Hamilton-Cartan spacesAutores:Carlos CastroFuentes:scopusFurther Insights into Thermal Relativity Theory and Black Hole Thermodynamics
ArticleAbstract: We continue to explore the consequences of Thermal Relativity Theory to the physics of black holes.Palabras claves:black holes, entropy, Gravity, Thermal relativityAutores: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:scopusNovel Remarks on Point Mass Sources, Firewalls, Null Singularities and Gravitational Entropy
ArticleAbstract: A continuous family of static spherically symmetric solutions of Einstein’s vacuum field equations wPalabras claves:black holes, General relativity, stringsAutores:C Castro, Carlos CastroFuentes:rraaescopusOn Clifford Space Relativity, Black Hole Entropy, Rainbow Metrics, Generalized Dispersion and Uncertainty Relations
ArticleAbstract: An analysis of some of the applications of Clifford space relativity to the physics behind the modifPalabras claves:Black hole entropy, Clifford algebras, Doubly special relativity, Extended Relativity in Clifford Spaces, noncommutative geometry, Quantum Clifford–Hopf algebras, Rainbow metrics, String theoryAutores:Carlos CastroFuentes: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 Superluminal Particles and the Extended Relativity Theories
ArticleAbstract: Superluminal particles are studied within the framework of the Extended Relativity theory in ClifforPalabras claves:Clifford spaces, Extended relativity, Finsler Geometry, superluminalAutores: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 dark energy, Weyl's geometry, different derivations of the vacuum energy density and the pioneer anomaly
ArticleAbstract: Two different derivations of the observed vacuum energy density are presented. One is based on a claPalabras claves:Cosmological constant, dark energy, Jordan-Brans-Dicke gravity, Weyl geometryAutores:Carlos CastroFuentes:scopusThe String Uncertainty Relations Follow from the New Relativity Principle
ArticleAbstract: Stringy corrections to the ordinary Heisenberg uncertainty relations have been known for some time.Palabras claves:Autores:Carlos CastroFuentes:scopus