Results 1 to 10 of about 76 (73)
Real Clifford Algebras and Their Spinors for Relativistic Fermions [PDF]
Universe, 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 +3 more sources
Octonion Internal Space Algebra for the Standard Model
Universe, 2023 This paper surveys recent progress in our search for an appropriate internal space algebra for the standard model (SM) of particle physics. After a brief review of the existing approaches, we start with the Clifford algebras involving operators of left ...
Ivan Todorov
doaj +1 more source
Topological preons from algebraic spinors
European Physical Journal C: Particles and Fields, 2021 It is demonstrated that many of the assumed rules that govern the structure of a previously proposed topological preon model, in which simple non-trivial braids consisting of three twisted ribbons are mapped to the first generation of leptons and quarks,
Niels G. Gresnigt
doaj +1 more source
Subliminal aspects concerning the Lounesto’s classification
European Physical Journal C: Particles and Fields, 2020 In the present communication we employ a split programme applied to spinors belonging to the regular and singular sectors of the Lounesto’s classification (Clifford algebras and spinors, Cambridge University Press, Cambridge), looking towards unveil how ...
R. J. Bueno Rogerio
doaj +1 more source
Clifford algebras, algebraic spinors, quantum information and applications [PDF]
Modern Physics Letters A, 2020 We give an algebraic formulation based on Clifford algebras and algebraic spinors for quantum information. In this context, logic gates and concepts such as chirality, charge conjugation, parity and time reversal are introduced and explored in connection with states of qubits.
Trindade, Marco A. S. +2 more
openaire +2 more sources
A binary encoding of spinors and applications
Complex Manifolds, 2020 We present a binary code for spinors and Clifford multiplication using non-negative integers and their binary expressions, which can be easily implemented in computer programs for explicit calculations.
Arizmendi Gerardo, Herrera Rafael
doaj +1 more source
Algebraic spinors on Clifford manifolds [PDF]
Journal of Physics A: Mathematical and General, 2002 Summary: A Clifford manifold of \(n\) dimensions is defined by the fundamental relation \[ \{\mathbf e_{\mu}(x), \mathbf e_{\nu}(x)\} = 2g_{\mu \nu}(x)\mathbf 1 \] between the \(n\) frame field components \(\{\mathbf e_{\mu}(x)\}\) and the metric matrix \(\{g_{\mu \nu}(x)\}\). At any point \(x\), the tangent space, orthonormal frames and the spin group
openaire +1 more source
On a Relation Between Twistors and Killing Spinors
Cumhuriyet Science Journal, 2018 Inspiring from the consequence of constructingconformal Killing-Yano forms out of Killing-Yano forms and closed conformalKilling-Yano forms, this work includes a method for building up twistors fromKilling spinors which can be analogously interpreted as ...
Özgür Açık
doaj +1 more source
An introduction to the edition of two Lemaître’s original manuscripts
Demonstratio Mathematica, 2017 The aim of this paper is to explain the contributions of G. Lemaître to Spinor Theory. At the end of the paper, we edited also, for the first time two short manuscripts: Spineurs et Quanta and Les spineurs et la physique quantique, written by Lemaître in
Maere Catherine de, Lambert Dominique
doaj +1 more source
New spinor classes on the Graf-Clifford algebra [PDF]
Journal of High Energy Physics, 2018 Abstract Pinor and spinor fields are sections of the subbundles whose fibers are the representation spaces of the Clifford algebra of the forms, equipped with the Graf product. In this context, pinors and spinors are here considered and the geometric generalized Fierz identities provide the necessary framework to derive and ...
R. Lopes, R. da Rocha
openaire +3 more sources