Physical theories in hypercomplex geometric description

DOI10.1142/S0219887814500625zbMath1301.81158MaRDI QIDQ2925879

Alexander P. Yefremov

Publication date: 29 October 2014

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

zbMATH Keywords

spinorselectrodynamicsquaternionsYang-Mills fieldtheory of relativityhypercomplex numbersquantum and classical mechanicsfundamental surface

Mathematics Subject Classification ID

Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Yang-Mills and other gauge theories in quantum field theory (81T13) Electromagnetic interaction; quantum electrodynamics (81V10) Spinor and twistor methods applied to problems in quantum theory (81R25) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Clifford algebras, spinors (15A66) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (2)

CANTOR-TYPE SETS IN HYPERBOLIC NUMBERS ⋮ Quaternionic electrodynamics

Cites Work

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• The conic-gearing image of a complex number and a spinor-Born surface geometry
• Gravitational contributions to pioneer space probe decelerations and the time-delay-Doppler ``relativistic confusion
• Die Singularitäten der eindeutigen regulären Funktionen einer Quaternionenvariablen. I
• Quaternions in Relativity
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I

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