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

Puntos clave

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.

Resumen

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.

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