BORN'S RECIPROCAL GENERAL RELATIVITY THEORY AND COMPLEX NON-ABELIAN GRAVITY AS GAUGE THEORY OF THE QUAPLECTIC GROUP: A NOVEL PATH TO QUANTUM GRAVITY

DOI10.1142/S0217751X08039669zbMath1158.83015OpenAlexW1984520636MaRDI QIDQ5503051

Carlos Castro

Publication date: 12 January 2009

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x08039669

zbMATH Keywords

stringsFinsler geometrynonsymmetric gravityBorn's reciprocal relativityquaplectic groupcomplex non-Abelian gravity

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (4)

Einstein gravity in almost Kähler variables and stability of gravity with nonholonomic distributions and nonsymmetric metrics ⋮ SOME CONSEQUENCES OF BORN'S RECIPROCAL RELATIVITY IN PHASE-SPACES ⋮ CONFORMAL SPINNING QUANTUM PARTICLES IN COMPLEX MINKOWSKI SPACE AS CONSTRAINED NONLINEAR SIGMA MODELS IN U(2, 2) AND BORN'S RECIPROCITY ⋮ AN EXCEPTIONAL E₈ GAUGE THEORY OF GRAVITY IN D = 8, CLIFFORD SPACES AND GRAND UNIFICATION

Cites Work

• Born-Infeld kinematics
• Maximal acceleration, maximal angular velocity, and causal influence
• The extended relativity theory in Born-Clifford phase spaces with a lower and upper length scales and Clifford group geometric unification
• Topological sigma models
• Massive scalar particles in a modified Schwarzschild geometry
• Generalized uncertainty principle from quantum geometry
• Finslerian fields in the spacetime tangent bundle
• Differential calculus on \(ISO_ q(N)\), quantum Poincaré algebra and \(q\)-gravity
• A generalization of the relativistic theory of gravitation
• A generalization of the relativistic theory of gravitation. II
• A CHERN–SIMONS E₈ GAUGE THEORY OF GRAVITY IN D = 15, GRAND UNIFICATION AND GENERALIZED GRAVITY IN CLIFFORD SPACES
• On the noncommutative and nonassociative geometry of octonionic space time, modified dispersion relations and grand unification
• An extension of quaternionic metrics to octonions
• CONFORMAL THEORIES, CURVED PHASE SPACES, RELATIVISTIC WAVELETS AND THE GEOMETRY OF COMPLEX DOMAINS
• Canonically relativistic quantum mechanics: Representations of the unitary semidirect Heisenberg group, U(1,3)⊗sH(1,3)
• ON THE VARIABLE FINE STRUCTURE CONSTANT, STRINGS AND MAXIMAL-ACCELERATION PHASE SPACE RELATIVITY
• Representations of the canonical group, (the semidirect product of the unitary and Weyl$ndash$Heisenberg groups), acting as a dynamical group on noncommutative extended phase space
• Universal Formula for Noncommutative Geometry Actions: Unification of Gravity and the Standard Model
• DOUBLY-SPECIAL RELATIVITY: FIRST RESULTS AND KEY OPEN PROBLEMS
• RELATIVITY IN SPACETIMES WITH SHORT-DISTANCE STRUCTURE GOVERNED BY AN OBSERVER-INDEPENDENT (PLANCKIAN) LENGTH SCALE
• General relativity with spin and torsion: Foundations and prospects
• A suggestion for unifying quantum theory and relativity
• Reciprocity Theory of Elementary Particles
• Maximal acceleration effects in Kerr space
• Complexified gravity in noncommutative spaces.

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