# REAL DIRAC THEORY

@inproceedings{Oziewicz1996REALDT, title={REAL DIRAC THEORY}, author={Zbigniew Oziewicz}, year={1996} }

The Dirac theory is completely reformulated in terms of Spacetime Algebra, a real Clifford Algebra characterizing the geometrical properties of spacetime. This eliminates redundancy in the conventional matrix formulation and reveals a hidden geometric structure in the theory. Among other things, it reveals that complex numbers in the Dirac equation have a kinematical interpretation, with the unit imaginary identified as the generator of rotations in a spacelike plane representing the direction…

## 9 Citations

Comment on `Dirac theory in spacetime algebra'

- Physics
- 2002

In contrast to formulations of the Dirac theory by Hestenes and by the present author, the formulation recently presented by Joyce (Joyce W P 2001 J. Phys. A: Math. Gen. 34 1991-2005) is equivalent…

20 02 Comments on “ Dirac theory in spacetime algebra ”

- Physics
- 2001

In contrast to formulations of the Dirac theory by Hestenes and by the current author, the formulation recently presented by W. P. Joyce [J. Phys. A: Math. Gen. 34 (2001) 1991–2005] is equivalent to…

Dirac ' s theory in real geometric formalism : multivectors versus spinorsJosep

- Physics
- 2007

A fully classical real vector reformulation of Dirac's equation is developed from scratch. It is then shown to be almost equivalent to the Hestenes-Dirac equation when formulated in terms of…

Multivector Dirac Equation and ℤ 2-Gradings of Clifford Algebras

- Mathematics
- 1997

AbstractWe generalize certain aspects of Hestenes's approach to Dirac theory to obtain multivector Dirac equations associated to a large class of representations of the gamma matrices. This is done…

The Theory of Everything: Foundations, Applications and Corrections to General Relativity

- Physics
- 2013

Corrections to general relativity are derived from classical theory and applied to the standard model. The perspective offered is the conceptual inverse of Einstein's theory, where particles exist as…

Zitterbewegung in Quantum Mechanics

- Physics
- 2009

The possibility that zitterbewegung opens a window to particle substructure in quantum mechanics is explored by constructing a particle model with structural features inherent in the Dirac equation.…

Geometric algebra and its application to mathematical physics

- Mathematics
- 1994

Clifford algebras have been studied for many years and their algebraic properties are well
known. In particular, all Clifford algebras have been classified as matrix algebras over one
of the three…

Z2-gradings of Clifford algebras and multivector structures

- Mathematics
- 2003

Let C�(V , g) be the real Clifford algebra associated with the real vector space V ,e ndowed with a nondegenerate metric g .I n this paper, we study the class of Z2-gradings of C�(V , g) which are…

One-loop corrections to the seesaw mechanism and models of neutrino masses and lepton mixing

- Physics
- 2016

Die Beobachtungen von Neutrinooszillationen belegen, dass Neutrinos sehr kleine, aber von Null verschiene Massen haben. Im Standardmodell der Teilchenphysik werden Neutrinos jedoch als masselos…

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