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Royal 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
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Constraints on mapping the Lounesto’s classes
European 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
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Fundamental Theory of Torsion Gravity
Universe, 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
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Digital Signal Processing, 2017 18 pages, 12 figures, 6 ...
Kabin Kanjamapornkul +3 more
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A spinorial energy functional: Critical points and gradient flow [PDF]
, 2012 On the universal bundle of unit spinors we study a natural energy functional whose critical points, if dimM C 3, are precisely the pairs (g,φ) consisting of a Ricci-flat Riemannian metric g together with a parallel g-spinor φ.
Hartmut Weiss +5 more
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Algebraic and Dirac–Hestenes spinors and spinor fields [PDF]
Journal of Mathematical Physics, 2004 Almost all presentations of Dirac theory in first or second quantization in physics (and mathematics) textbooks make use of covariant Dirac spinor fields. An exception is the presentation of that theory (first quantization) offered originally by Hestenes and now used by many authors. There, a new concept of spinor field (as a sum of nonhomogeneous even
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Spinor-Like Hamiltonian for Maxwellian Optics
EPJ 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.
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Opening the Pandora’s box of quantum spinor fields
European 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
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Killing spinors from classical r-matrices [PDF]
, 2018 The Yang–Baxter deformation (yb deformation) is a systematic way of performing integrable deformations of 2D symmetric non-linear sigma models. The deformations can be labeled by classical r-matrices satisfying the classical yb equation.
Reffert, Susanne +3 more
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Parallel spinors and holonomy groups
, 2000 10 pagesInternational audienceIn this paper we complete the classification of spin manifolds admitting parallel spinors, in terms of the Riemannian holonomy groups.
Moroianu, Andrei +3 more
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