TY - JOUR
T1 - Spin and entanglement in general relativity
AU - Horwitz, Lawrence P.
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2021/7/14
Y1 - 2021/7/14
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85112650205&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1956/1/012009
DO - 10.1088/1742-6596/1956/1/012009
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AN - SCOPUS:85112650205
SN - 1742-6588
VL - 1956
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012009
T2 - 12th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields, IARD 2020
Y2 - 1 June 2020 through 4 June 2020
ER -