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Gravitational four-fermion interaction on the Planck scale

2012/01/31 by И. Б. Хриплович, I. B. Khriplovich · 1 citation
Mathematics · Physics and Astronomy · #Angular momentum #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Exact solutions in general relativity #Fermion #Geometry #Gravitation #Gravitational energy #Mathematics #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #Physics #Planck #Planck energy #Planck scale #Quantum #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Stress–energy tensor #Tensor (intrinsic definition) #Theoretical physics #Torsion (gastropod) #gr-qc

paper · pdf · doi:10.1016/j.physletb.2012.01.072

4 pages, few comments added

arxiv created 2012/02/01 · openalex publication_date 2012/02/01 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The four-fermion gravitational interaction is induced by torsion, and gets essential on the Planck scale. On this scale, the axial-axial contribution dominates strongly in the discussed interaction. The energy-momentum tensor, generated by this contribution, is analyzed, as well as stability of the problem with respect to compression. The trace of this energy-momentum tensor can be negative.

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