In this second edition of our book, we rewrote some sections and added new ones to some
chapters for better intelligibility, eg, the new Sect. 6.9 titled “Schwarzschild Original Solution …

In this paper we investigate a hidden consequence of the hypothesis that Lagrangians and
field equations must be invariant under active local Lorentz transformations. We show that …

Исследованы волновые уравнения элементарных частиц в присутствии внешних
гравитационных полей, описываемых как псевдориманова структура пространства …

The recent literature shows a renewed interest, with various independent approaches, in the
classical models for spin. Considering the possible interest of those results, at least for the …

After recalling the differential geometry of non-metric connections in the formalism of
differential forms, we introduce the idea of a non-metricity (NM) connection, whose …

We present the theory, the experimental evidence and fundamental physical consequences
concerning the existence of families of undistorted progressive waves (UPWs) of arbitrary …

Universal coverings of orthogonal groups and their extensions are studied in terms of
Clifford-Lipschitz groups. An algebraic description of basic discrete symmetries (space …

Almost all presentations of Dirac theory in first or second quantization in physics (and
mathematics) textbooks make use of covariant Dirac spinor fields. An exception is the …

In this paper we study Dirac-Hestenes spinor fields (DHSF) on a four-dimensional Riemann-
Cartan spacetime (RCST). We prove that these fields must be defined as certain …

Double coverings of the orthogonal groups of the real and complex spaces are considered.
The relation between discrete transformations of these spaces and fundamental …