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Spinor algebras [PDF]

open access: yesJournal of Geometry and Physics, 2001
We consider supersymmetry algebras in space-times with arbitrary signature and minimal number of spinor generators. The interrelation between super Poincar and super conformal algebras is elucidated. Minimal super conformal algebras are seen to have as bosonic part a classical semimisimple algebra naturally associated to the spin group. This algebra,
D'AURIA, RICCARDO   +3 more
openaire   +4 more sources

SPINOR GEOMETRY [PDF]

open access: yesInternational Journal of Modern Physics A, 2012
It has been proposed that quantum mechanics and string theory share a common inner syntax, the relational logic of C. S. Peirce. Along this line of thought we consider the relations represented by spinors. Spinor composition leads to the emergence of Minkowski space–time.
Nicolaidis, A., Kiosses, V.
openaire   +3 more sources

Spinor gravity [PDF]

open access: yesPhysics Letters B, 2003
A unified description of all interactions could be based on a higher-dimensional theory involving only spinor fields. The metric arises as a composite object and the gravitational field equations contain torsion-corrections as compared to Einstein gravity.
Hebecker, A., Wetterich, C.
openaire   +3 more sources

On the calculation of covariant expressions for Dirac bilinears

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
In this article, various approaches to calculate covariant expressions for the bilinears of Dirac spinors are presented. For this purpose, algebraic equations defining Dirac spinors are discussed.
M. A. Olpak, A. Özpineci
doaj   +1 more source

Response to ‘Comment on “Quantum correlations are weaved by the spinors of the Euclidean primitives”’

open access: yesRoyal Society Open Science, 2022
In this paper, I respond to a critique of one of my papers previously published in the Royal Society Open Science entitled ‘Quantum correlations are weaved by the spinors of the Euclidean primitives.’ Without engaging with the geometrical framework ...
Joy Christian
doaj   +1 more source

Constraints on mapping the Lounesto’s classes

open access: yesEuropean Physical Journal C: Particles and Fields, 2019
The so-called Lounesto’s classification engenders six distinct classes of spinors, divided into two sectors: one composed by regular spinors (single-helicity spinors) and the other composed by singular spinors (comprising dual-helicity spinors).
R. J. Bueno Rogerio
doaj   +1 more source

Real Clifford Algebras and Their Spinors for Relativistic Fermions

open access: yesUniverse, 2021
Real Clifford algebras for arbitrary numbers of space and time dimensions as well as their representations in terms of spinors are reviewed and discussed.
Stefan Floerchinger
doaj   +1 more source

Fundamental Theory of Torsion Gravity

open access: yesUniverse, 2021
In this work, we present the general differential geometry of a background in which the space–time has both torsion and curvature with internal symmetries being described by gauge fields, and that is equipped to couple spinorial matter fields having spin
Luca Fabbri
doaj   +1 more source

Spinor-Like Hamiltonian for Maxwellian Optics

open access: yesEPJ Web of Conferences, 2016
Background. Spinors are more special objects than tensors. Therefore spinors possess more properties than the more generic objects such as tensors. The group of Lorentz two-spinors is the covering group of the Lorentz group. Purpose.
Kulyabov D.S.
doaj   +1 more source

Opening the Pandora’s box of quantum spinor fields

open access: yesEuropean Physical Journal C: Particles and Fields, 2018
Lounesto’s classification of spinors is a comprehensive and exhaustive algorithm that, based on the bilinears covariants, discloses the possibility of a large variety of spinors, comprising regular and singular spinors and their unexpected applications ...
L. Bonora   +2 more
doaj   +1 more source

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