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Fermion spins in loop quantum gravity

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arxiv 2011.00233 v2 pith:5JDFKS44 submitted 2020-10-31 gr-qc hep-th

Refik Mansuroglu , Hanno Sahlmann This is my paper
classification gr-qchep-th
keywords quantumgravitydegreesentanglementfermionfermionicfreedomloop
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We define and study kinematical observables involving fermion spin, such as the total spin of a collection of particles, in loop quantum gravity. Due to the requirement of gauge invariance, the relevant quantum states contain strong entanglement between gravity and fermionic degrees of freedom. Interestingly we find that properties and spectra of the observables are nevertheless similar to their counterparts from quantum mechanics. However, there are also new effects. Due to the entanglement between gravity and fermionic degrees of freedom, alignment of quantum spins has consequences for quantized geometry. We sketch a particular effect of this kind that may in principle be observable.

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Cited by 1 Pith paper

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  1. Bell states for fermions in loop quantum gravity

    gr-qc 2025-08 unverdicted novelty 5.0 of 10

    In loop quantum gravity, a surface-normal fermion spin observable can be used to construct CHSH-type correlations that are violated by fermion states coupled to quantum geometry.

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