Hyperbolic complex structures in physics

DOI10.1063/1.530244zbMath0798.53073OpenAlexW2053662157MaRDI QIDQ4276811

Joseph Hucks

Publication date: 21 June 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://cds.cern.ch/record/260914

zbMATH Keywords

Lorentz transformationsGalilean transformationsDirac spinors

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of differential geometry to physics (53Z05)

Related Items (17)

Conformal numbers ⋮ Holographic coordinates ⋮ Hyperbolic complex Yang-Baxter equation and hyperbolic complex multiparametric quantum groups ⋮ Split quaternions and semi-Euclidean projective spaces ⋮ The complex algebra of physical space: a framework for relativity ⋮ One-parameter planar motions in generalized complex number plane \({\mathbb{C}_{J}}\) ⋮ FOURIER ANALYSIS OVER HYPERBOLIC ALGEBRA, PSEUDO-DIFFERENTIAL OPERATORS, AND HYPERBOLIC DEFORMATION OF CLASSICAL MECHANICS ⋮ On the consistency of the quantum-like representation algorithm for hyperbolic interference ⋮ Higher spin quaternion waves in the Klein-Gordon theory ⋮ The Poincaré mass operator in terms of a hyperbolic algebra ⋮ Symmetries in the hyperbolic Hilbert space ⋮ Relativistic quantum physics with hyperbolic numbers ⋮ Pickover biomorphs and non-standard complex numbers ⋮ Geometrical origin of the cosmological constant ⋮ Non-smooth Spatial and Temporal Substitutions in Impact Dynamics ⋮ Considerations on the hyperbolic complex Klein–Gordon equation ⋮ Split-quaternions and the Dirac equation

Cites Work

• On the hyperbolic complex linear symmetry groups and their local gauge transformation actions
• The electroweak interaction as a relativistic symmetry
• Geometrical interpretation of a generalized theory of gravitation

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