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Title of Journal: AACA

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Abbravation: Advances in Applied Clifford Algebras

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SP Birkhäuser Verlag Basel

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DOI

10.1007/s10147-016-0983-z

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1661-4909

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Twistors in Geometric Algebra

Authors: Elsa Arcaute Anthony Lasenby Chris Doran
Publish Date: 2008/05/19
Volume: 18, Issue: 3-4, Pages: 373-394
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Abstract

Twistors are reinterpreted in terms of geometric algebra as 4d spinors with a position dependence This allows us to construct their properties as observables of a quantum system The Robinson congruence is derived and extended to nonEuclidean spaces where it is represented in terms of dlines Different conformal spaces are constructed through the infinity twistors for FriedmannRobertsonWalker spaces Finally we give a 6d spinor representation of a twistor which allows us to define the geometrical properties of the twistors as observables of this higher dimensional space

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Other Papers In This Journal:
  1. On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems
  2. Geometric Algebra to Model Uncertainties in the Discretizable Molecular Distance Geometry Problem
  3. Half Dirichlet Problems and Decompositions of Poisson Kernels
  4. Differential Operators Associated to the Cauchy-Fueter Operator in Quaternion Algebra
  5. Properties of Solutions to A-Harmonic System and A-Dirac System
  6. Matrix Mechanics of the Relativistic Point Particle and String in Clifford Space
  7. Harmonic Forms on Conformal Euclidean Manifolds: The Clifford Multivector Approach
  8. Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum Mechanics
  9. Operator Identities in q -Deformed Clifford Analysis
  10. Inverse Kinematics for a 6-DOF Walking Humanoid Robot Leg
  11. (1,1)-Forms Acting on Spinors on Kähler Surfaces
  12. Multiplicative Representation of a Hyperbolic non Distributive Algebra
  13. An Efficient Method for Solving Equations in Generalized Quaternion and Octonion Algebras
  14. On the Quaternionic B 2 -Slant Helices in the Euclidean Space E 4
  15. The octonions form an Azumaya algebra in certain braided linear Gr-categories
  16. On the Geometry of the Hyperbolic Scator Space in 1+2 Dimensions
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