Clifford algebra, Lorentz transformation and unified field theory
DOI10.1007/s00006-018-0852-0zbMath1396.83013OpenAlexW2795708750MaRDI QIDQ1659514
Publication date: 15 August 2018
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-018-0852-0
quantum field theoryClifford algebraspinorLorentz transformationnonlinear potentialunified field theorytransformation lawelementary field
Unified quantum theories (81V22) Applications of differential geometry to physics (53Z05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Special relativity (83A05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Clifford algebras, spinors (15A66)
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- Applications of Clifford's geometric algebra
- Spacetime algebra as a powerful tool for electromagnetism
- Some paradoxes in special relativity and the resolutions
- Multivectorial representation of Lie groups
- Clifford algebra to geometric calculus. A unified language for mathematics and physics
- Existence of stationary states for nonlinear Dirac equations
- Existence of excited states for a nonlinear Dirac field
- Exact vacuum solutions to the Einstein equation
- Existence of localized solutions for a classical nonlinear Dirac field
- General relativity and matter. A spinor field theory from fermis to light-years. With a foreword by Clive Kilmister
- Some properties of the spinor soliton
- Spinor soliton with electromagnetic field
- Equivalence of Dirac and Maxwell equations and quantum mechanics
- A canonical form for relativistic dynamic equation
- The geometric content of the electron theory. II: Theory of the electron from start
- Clifford numbers and spinors. Ed. by E. Folke Bolinder, Pertti Lounesto
- The geometric content of the electron theory. I
- Stationary states of the nonlinear Dirac equation: A variational approach
- Dirac equation in terms of hydrodynamic variables
- The electromagnetic potential among nonrelativistic electrons
- Space-time geometry and some applications of Clifford algebra in physics
- Spinors and multivectors as a unified tool for spacetime geometry and for elementary particle physics
- Existence of standing waves for Dirac fields with singular nonlinearities
- Gravitational energy for GR and Poincaré gauge theories: A covariant Hamiltonian approach
- Rotating Fields in General Relativity
- A New Formulation on the Electromagnetic Field
- A spinor representation of maxwell’s equations
- A multivectorial Dirac equation
- A COSMOLOGICAL MODEL WITH DARK SPINOR SOURCE
- Fierz identities for real Clifford algebras and the number of supercharges
- Clifform calculus with applications to classical field theories
- Special orthonormal frames
- Clifford algebras and their applications to Lie groups and spinors
- CLIFFORD VALUED DIFFERENTIAL FORMS, AND SOME ISSUES IN GRAVITATION, ELECTROMAGNETISM AND "UNIFIED" THEORIES
- DOTTED AND UNDOTTED ALGEBRAIC SPINOR FIELDS IN GENERAL RELATIVITY
- A unified mathematical language for physics and engineering in the 21st century
- NEW APPROACH TO N-BODY RELATIVISTIC QUANTUM MECHANICS
- Nonlinear Spinor Fields
- Discrete symmetries and Clifford algebras
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