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Publications Influence

The bundles of algebraic and Dirac–Hestenes spinor fields

- R. A. Mosna, W. A. Rodrigues
- Physics, Mathematics
- 10 December 2002

TLDR

66 4- PDF

A spinor representation of Maxwell equations and Dirac equation

- J. Vaz, W. A. Rodrigues
- Physics
- 1 February 1993

Using the Clifford bundle formalism and starting from the free Maxwell equations dF = {delta}F = 0 we show by writing F = b{psi}{gamma}{sup 1}{gamma}{sup 2}{psi}{sup *}, where {psi} is a… Expand

4 2

Gravitation as a Plastic Distortion of the Lorentz Vacuum

- V. V. Fernández, W. A. Rodrigues
- Physics, Mathematics
- 24 September 2009

In this paper we present a theory of the gravitational field where this field (a kind of square root of g) is represented by a (1,1)-extensor field h describing a plastic distortion of the Lorentz… Expand

18 2- PDF

On the existence of undistorted progressive waves (UPWs) of arbitrary speeds 0≤ϑ<∞ in nature

- W. A. Rodrigues, J. Lu
- Mathematics, Physics
- 12 June 1996

We present the theory, the experimental evidence and fundamental physical consequences concerning the existence of families of undistorted progressive waves (UPWs) of arbitrary speeds 0≤ϑ<∞, which… Expand

59 1- PDF

Euclidean Clifford algebra

- V. V. Fernandez, A. Moya, W. A. Rodrigues
- Mathematics, Physics
- 1 October 2001

LetV be ann-dimensional real vector space. In this paper we introduce the concept ofeuclidean Clifford algebraCℓ (V, GE) for a given euclidean structure onV , i.e., a pair (V, GE) where GE is an… Expand

23 1- PDF

On the Equation ∇ × a = Κa

- J. Vaz, W. A. Rodrigues
- 1996

We show that when correctly formulated the equation ∇ × a = κa does not exhibit some inconsistencies atributed to it, so that its solutions can represent physical fields. We want to look for… Expand

22 1

The squares of the dirac and spin-dirac operators on a riemann-cartan space(time)

- E. Notte-Cuello, W. A. Rodrigues, Q. A. G. Souza
- Mathematics, Physics
- 18 March 2007

In this paper we introduce the Dirac and spin-Dirac operators associated to a connection on Riemann-Cartan space(time) and standard Dirac and spin-Dirac operators associated with a Levi-Civita… Expand

13 1- PDF

Multivector functions of a real variable

- A. Moya, V. V. Fernandez, W. A. Rodrigues
- Mathematics
- 1 October 2001

This paper is an introduction to the theory of multivector functions of a real variable. The notions of limit, continuity and derivative for these objects are given. The theory of multivector… Expand

19 1- PDF

The Dirac Operator and the Structure of Riemann-Cartan-Weyl Spaces

- Q. A. G. Souza, W. A. Rodrigues
- Physics
- 1994

20 1

Equivalence Principle and the Principle of Local Lorentz Invariance

- W. A. Rodrigues, M. Sharif
- Mathematics, Physics
- 1 December 2001

In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics, we introduce in… Expand

17 1- PDF