Spin and entanglement in general relativity

Lawrence P. Horwitz

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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 number32
JournalEuropean Physical Journal Plus
Issue number1
StatePublished - Jan 2021

Bibliographical note

Publisher Copyright:
© 2021, The Author(s).


Dive into the research topics of 'Spin and entanglement in general relativity'. Together they form a unique fingerprint.

Cite this