W. A. Rodrigues

Publications83
h-index14
Citations646
Highly Influential Citations18
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The bundles of algebraic and Dirac–Hestenes spinor fields
TLDR
We clarify the ontology of Dirac–Hestenes spinor fields (DHSF) and its relationship with even multivector fields, on a Riemann–Cartan spacetime (RCST) admitting a spin structure. Expand
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A spinor representation of Maxwell equations and Dirac equation
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
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Gravitation as a Plastic Distortion of the Lorentz Vacuum
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
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On the existence of undistorted progressive waves (UPWs) of arbitrary speeds 0≤ϑ<∞ in nature
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
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Euclidean Clifford algebra
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
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On the Equation ∇ × a = Κa
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
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The squares of the dirac and spin-dirac operators on a riemann-cartan space(time)
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
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Multivector functions of a real variable
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
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The Dirac Operator and the Structure of Riemann-Cartan-Weyl Spaces
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Equivalence Principle and the Principle of Local Lorentz Invariance
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
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