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Pré-Publication, Document De Travail Année : 2023

Spinoriality: From Projections in a Flat Set of Paths to Elements in Curved Space(-Times)

Edoardo Niccolai
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Résumé

This paper proposes a description of the notion of spinor by restricting attention on its definition in curved space(-time). The starting point is a study on a flat ambient (Euclidean) space, followed by the concept of (isotropic) vector. After a quick specimen of Cliffordian spin group, the question is addressed via tensor-spinor equivalence, using the Pauli–Levi-Civita toolbox, as well as the Riccian algebraic spectrum plus the Riemann curvature tensor. And it ends with the identification of the gravitational spinor.
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Dates et versions

hal-04102963 , version 1 (22-05-2023)
hal-04102963 , version 2 (28-12-2023)

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  • HAL Id : hal-04102963 , version 2

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Edoardo Niccolai. Spinoriality: From Projections in a Flat Set of Paths to Elements in Curved Space(-Times). 2023. ⟨hal-04102963v2⟩

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