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  1. Advances in Applied Clifford Algebras
  2. Advances in Applied Clifford Algebras : Volume 19
  3. Advances in Applied Clifford Algebras : Volume 19, Issue 1, February 2009
  4. The Theory of Kairons
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Advances in Applied Clifford Algebras : Volume 26
Advances in Applied Clifford Algebras : Volume 25
Advances in Applied Clifford Algebras : Volume 24
Advances in Applied Clifford Algebras : Volume 23
Advances in Applied Clifford Algebras : Volume 22
Advances in Applied Clifford Algebras : Volume 21
Advances in Applied Clifford Algebras : Volume 20
Advances in Applied Clifford Algebras : Volume 19
Advances in Applied Clifford Algebras : Volume 19, Issue 3-4, December 2009
Advances in Applied Clifford Algebras : Volume 19, Issue 2, July 2009
Advances in Applied Clifford Algebras : Volume 19, Issue 1, February 2009
Reflections, Rotations, and Pythagorean Numbers
On the Structure of Solutions of the Moisil-Théodoresco System in Euclidean Space
A Bianchi’s Relation Between Commutative Hypercomplex Numbers and Riemannian Geometry: an Updated Reading
Clifford Product and Lorentzian Plane Displacements In 3-Dimensional Lorentzian Space
On Appell Sets and the Fueter-Sce Mapping
The Theory of Kairons
On the Integral Representation of Spherical k-Regular Functions in Clifford Analysis
Lie Symmetries of Inviscid Burgers’ Equation
Freud’s Identity of Differential Geometry, the Einstein-Hilbert Equations and the Vexatious Problem of the Energy-Momentum Conservation in GR
Ideal Structure of Clifford Algebras
Holditch Theorem and Steiner Formula for the Planar Hyperbolic Motions
Advances in Applied Clifford Algebras : Volume 18
Advances in Applied Clifford Algebras : Volume 17
Advances in Applied Clifford Algebras : Volume 16
Advances in Applied Clifford Algebras : Volume 15
Advances in Applied Clifford Algebras : Volume 14
Advances in Applied Clifford Algebras : Volume 13
Advances in Applied Clifford Algebras : Volume 12
Advances in Applied Clifford Algebras : Volume 11
Advances in Applied Clifford Algebras : Volume 10
Advances in Applied Clifford Algebras : Volume 9
Advances in Applied Clifford Algebras : Volume 8
Advances in Applied Clifford Algebras : Volume 7

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The Theory of Kairons

Content Provider Springer Nature Link
Author Jadczyk, Arkadiusz
Copyright Year 2008
Abstract In relativistic quantum mechanics wave functions of particles satisfy field equations that have initial data on a space-like hypersurface. We propose a dual field theory of “wavicles” that have their initial data on a time-like worldline. Propagation of such fields is superluminal, even though the Hilbert space of the solutions carries a unitary representation of the Poincaré group of mass zero. We call the objects described by these field equations “Kairons”. The paper builds the field equations in a general relativistic framework, allowing for a torsion. Kairon fields are section of a vector bundle over space-time. The bundle has infinite-dimensional fibres.
Starting Page 63
Ending Page 82
Page Count 20
File Format PDF
ISSN 01887009
Journal Advances in Applied Clifford Algebras
Volume Number 19
Issue Number 1
e-ISSN 16614909
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2008-06-27
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Poincaré group Minkowski space Lorentz invariance induced representations Kairos Kairon field frame bundle sphere bundle bundle of homogeneous functions current conservation superluminal propagation gravity torsion Physics Applications of Mathematics Mathematical and Computational Physics Mathematical Methods in Physics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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