NDLI: A possible correspondence between Ricci identities and Dirac equations in the Newman–Penrose formalism : Towards an understanding of gravity induced collapse of the wave-function?

Content Provider	Springer Nature Link
Author	Sharma, Anushrut Singh, Tejinder P.
Copyright Year	2014
Abstract	It is well-known that in the Newman–Penrose formalism the Riemann tensor can be expressed as a set of eighteen complex first-order equations, in terms of the twelve spin coefficients, known as Ricci identities. The Ricci tensor herein is determined via the Einstein equations. It is also known that the Dirac equation in a curved spacetime can be written in the Newman–Penrose formalism as a set of four first-order coupled equations for the spinor components of the wave-function. In the present article we suggest that it might be possible to think of the Dirac equations in the N–P formalism as a special case of the Ricci identities, after an appropriate identification of the four Dirac spinor components with four of the spin coefficients, provided torsion is included in the connection, and after a suitable generalization of the energy-momentum tensor. We briefly comment on similarities with the Einstein–Cartan–Sciama–Kibble theory. The motivation for this study is to take some very preliminary steps towards developing a rigorous description of the hypothesis that dynamical collapse of the wave-function during a quantum measurement is caused by gravity.
Starting Page	1
Ending Page	21
Page Count	21
File Format	PDF
ISSN	00017701
Journal	General Relativity and Gravitation
Volume Number	46
Issue Number	11
e-ISSN	15729532
Language	English
Publisher	Springer US
Publisher Date	2014-10-31
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Newman–Penrose formalism Ricci identities Dirac equation Torsion Theoretical, Mathematical and Computational Physics Classical and Quantum Gravitation, Relativity Theory Differential Geometry Quantum Physics Astronomy, Astrophysics and Cosmology Cosmology
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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