5 papers
A Kähler and quaternion-Kähler spacetime structure
R. Vilela Mendes
When real Lorentzian spacetime is embedded into a manifold parametrized by higher division algebras (complex or quaternion with Hermitean metric) and the representation constraints…
Spinors and the quaternionic Poincaré group
R. Vilela Mendes
When four dimensional spacetime R is considered as locally embedded on a larger manifold M, labelled by higher division algebra coordinates, a natural question to ask is how much o…
On three-body effects and nuclear fusion
R. Vilela Mendes
Confined to small regions, quantum systems exhibit electronic and structural properties different from their free space behavior. In Coulomb 3-body problems, configurations of clos…
Complex hidden symmetries in real spacetime and their algebraic structures
R. Vilela Mendes
Considering real spacetime as a Lorentzian fiber in a complex manifold, there is a mismatch of the elementary linear representations of their symmetry groups, the real and complex…
A hidden symmetry of complex spacetime and the emergence of the standard model algebraic structure
R. Vilela Mendes
When spacetime is considered as a subspace of a wider complex spacetime manifold, there is a mismatch of the elementary linear representations of their symmetry groups, the real an…