Gravitational four-fermion interaction on the Planck scale
I. B. Khriplovich

TL;DR
This paper investigates the gravitational four-fermion interaction induced by torsion at the Planck scale, highlighting the dominance of axial-axial contributions and analyzing the resulting energy-momentum tensor's properties and stability.
Contribution
It provides a detailed analysis of the four-fermion gravitational interaction at the Planck scale, emphasizing the axial-axial dominance and the properties of the energy-momentum tensor.
Findings
Axial-axial contribution dominates the interaction.
The energy-momentum tensor can have a negative trace.
The system's stability under compression is analyzed.
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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