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Fermion spins in loop quantum gravity

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abstract

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.

fields

gr-qc 1

years

2025 1

verdicts

UNVERDICTED 1

representative citing papers

Bell states for fermions in loop quantum gravity

gr-qc · 2025-08-06 · unverdicted · novelty 5.0

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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  • Bell states for fermions in loop quantum gravity gr-qc · 2025-08-06 · unverdicted · none · ref 5 · internal anchor

    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.