Spin and entanglement in general relativity

Lawrence P. Horwitz

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In a previous paper, we have shown how the classical and quantum relativistic dynamics of the Stueckelberg-Horwitz-Piron [SHP] theory can be embedded in general relativity (GR). We briefly review the SHP theory here and, in particular, the formulation of the theory of spin in the framework of relativistic quantum theory. We show here how the quantum theory of relativistic spin can be embedded, using a theorem of Abraham, Marsden and Ratiu, and also explicit derivation, into the framework of GR by constructing a local induced representation. The relation to the work of Fock and Ivanenko is also discussed. We show that in a gravitational field there is a highly complex structure for the spin distribution in the support of the wave function. We then discuss entanglement for the spins in a two body system.

Original languageEnglish
Article number012009
JournalJournal of Physics: Conference Series
Issue number1
StatePublished - 14 Jul 2021
Event12th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields, IARD 2020 - Prague, Virtual, Czech Republic
Duration: 1 Jun 20204 Jun 2020

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© Published under licence by IOP Publishing Ltd.


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