82 citations · 366 across the 16 of their papers we have counts for
16 papers
Lie sphere geometry in nuclear scattering processes
S. Ulrych
The Lie sphere geometry is a natural extension of the Möbius geometry, where the latter is very important in string theory and the AdS/CFT correspondence. The extension to Lie sphe…
Holographic coordinates
S. Ulrych
The Laplace equation in the two-dimensional Euclidean plane is considered in the context of the inverse stereographic projection. The Lie algebra of the conformal group as the symm…
Conformal numbers
S. Ulrych
The conformal compactification is considered in a hierarchy of hypercomplex projective spaces with relevance in physics including Minkowski and Anti-de Sitter space. The geometries…
Conformal relativity with hypercomplex variables
S. Ulrych
Majorana's arbitrary spin theory is considered in a hyperbolic complex representation. The underlying differential equation is embedded into the gauge field theories of Sachs and C…
Higher spin quaternion waves in the Klein-Gordon theory
S. Ulrych
Electromagnetic interactions are discussed in the context of the Klein-Gordon fermion equation. The Mott scattering amplitude is derived in leading order perturbation theory and th…
Considerations on the hyperbolic complex Klein-Gordon equation
S. Ulrych
The article summarizes and consolidates investigations on hyperbolic complex numbers with respect to the Klein-Gordon equation for fermions and bosons. The hyperbolic complex numbe…