Physical Interpretation of Topological Instability in Einstein–Cartan Gravity

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Authors: Petrov Sergey
Cited by: 0

Abstract

Recent geometric analysis On the Topological Instability of Einstein–Cartan Bounces under Ricci Flow has demonstrated that topologically connected bounce geometries in Einstein–Cartan–Sciama–Kibble (ECSK) gravity are generically unstable under anisotropic perturbations. In particular, torsion-induced shear leads to the formation of a cylindrical throat that evolves toward a finite-time neck-pinch singularity, mathematically requiring topological surgery to extend the solution. This paper develops a physical interpretation of the resulting topological separation within the framework of classical ECSK gravity. We argue that the mathematical necessity of surgery admits a natural interpretation as a spacetime fission event, associated with the throat geometry approaching the effective cutoff scale inherent to the theory. The post-separation configuration is understood as consisting of two causally disjoint spacetime manifolds: a parent spacetime containing a causal boundary (analogous, in a limited sense, to a horizon) and a detached, spatially closed component. We show that this interpretation is causally consistent, redistributes conserved physical quantities through partitioning rather than destruction, and allows the detached component to evolve autonomously as a standard initial value problem. The framework provides a coherent physical interpretation of the instability identified in without introducing exotic matter, new dynamical laws, or paradoxical violations of causality.

Fields of Study & Subjects

Cosmology and Gravitation Theories Relativity and Gravitational Theory Advanced Differential Geometry Research

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
19 January 2026
Language
EN
Document type
Preprint