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Fermion spins in loop quantum gravity

2020/11/30 by Refik Mansuroglu, Hanno Sahlmann · 9 citations
Medicine · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Condensed matter physics #Degrees of freedom (physics and chemistry) #Fermion #Hořava–Lifshitz gravity #Immirzi parameter #Loop quantum gravity #Neuroblastoma Research and Treatments #Noncommutative and Quantum Gravity Theories #Observable #Physics #Quantum #Quantum dynamics #Quantum entanglement #Quantum geometry #Quantum gravity #Quantum mechanics #Quantum process #Spin (aerodynamics) #Spin foam #Spin network #Spins #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.103.066016

published in Physical review. D/Physical review. D. 103(6) (American Physical Society) · 17 pages, 5 figures v2: small changes in the text, removed various typos. version essentially identical to the one published in PRD

openalex publication_date 2021/03/24 · arxiv created 2021/04/06 · arxiv updated 2021/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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.

Citations