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 …

Exotic dark spinor fields are introduced and investigated in the context of inequivalent spin
structures on arbitrary curved spacetimes, which induces an additional term on the …

An introduction to some of the most important features of the Extended Relativity theory in
Clifford-spaces (C-spaces) is presented whose “point” coordinates are non-commuting …

Our main objective in this paper is to clarify the ontology of Dirac–Hestenes spinor fields
(DHSF) and its relationship with even multivector fields, on a Riemann–Cartan spacetime …

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 are concerned to reveal that any spacetime structure< M, g, D, τ g,↑>,
which is a model of a gravitational field in General Relativity generated by an energy …

This paper is intended to investigate Grassmann and Clifford algebras over Peano spaces,
introducing their respective associated extended algebras, and to explore these concepts …

Starting with a review of the Extended Relativity Theory in Clifford-Spaces, and the physical
motivation behind this novel theory, we provide the generalization of the nonrelativistic …

We use the concept of spinor operator to study some aspects of the classical theory of
surfaces in three dimensions. We show that a spinor operator representing a surface …

Jr and Roldao da Rocha Jr of IMECC, Universidade Estudual de Campinas and CMCC–
Universidade Federal do ABC, was first published by Oxford University Press in hardcover in …