We characterize the integral cohomology and the rational homotopy type of the maximal
Borel-equivariantization of the combined Hopf/twistor fibration, and find that subtle relations …

In this paper, we solve the quaternionic Dirac equation (ℍ DE) in the real Hilbert space, and
we ascertain that their free particle solutions set comprises eight elements in the case of a …

Using the complex Klein–Gordon field as a model, we quantize the quaternionic scalar field
in the real Hilbert space. The Lagrangian formulation has accordingly been obtained, as …

We propose an $ E_8\otimes E_8 $ unification of the standard model with pre-gravitation, on
an exceptional Lie algebra-valued space. Each of the $ E_8 $ has in its branching an $ SU …

This paper aims to show that the Dirac equation coupled to an arbitrary inhomogeneous flux
field admits separation in manifolds formed from the direct product of bidimensional spaces …