What question did this study set out to answer?

This research aims to establish topological persistence as a key descriptor of cosmic structure during late-time evolution.

February 9, 2026Open Access

Topological Persistence of the Vacuum: A Retentive Framework for Late-Time Cosmology and Structural Invariants

Key Points

This research aims to establish topological persistence as a key descriptor of cosmic structure during late-time evolution.
Developed a formal framework based on topological persistence.
Introduced structural invariants including the Retentive Floor, Ξ-nodes, and the equilibrium term.
Analyzed how these invariants function under weakened dynamical evolution.
Unified cosmological, topological, and structural-physical regimes into a coherent model.
Explained correlation-time plateaus and void residuals through a retentive mechanism.
Demonstrated suppressed potential evolution compared to classical dynamics.

Abstract

This paper develops a formal framework in which topological persistence serves as the primary descriptor of late-time cosmic structure. It introduces the Retentive Floor (Δψ₀), Ξ-nodes, and the equilibrium term Λψ as structural invariants that remain finite when classical dynamical evolution weakens. The theory explains correlation-time plateaus, void residuals, and suppressed potential evolution through a retentive rather than dynamical mechanism. The approach unifies cosmological, topological, and structural-physical regimes into a coherent model of metric-independent continuity.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Authors

Logacheva Yulia

Actions

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Topological Persistence of the Vacuum: A Retentive Framework for Late-Time Cosmology and Structural Invariants

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Actions

References and Citations

Citation Network

Connected Papers

Discussion

Cite this study