Dark-Sector Feedback and Late-Time Cosmic Stability

Core Hypothesis

The two dominant components of our universe, dark energy and dark matter, are not independent. Dark energy is a dynamical field that evolves over cosmic time, rather than a fixed cosmological constant. This field interacts with dark matter through a weak coupling that remains dormant in the early universe but activates when the matter fraction drops below a critical threshold. Once activated, the coupling creates a feedback loop: the field responds to the declining matter density, and that response alters the rate at which matter continues to decline. The system possesses a stable attractor, a long-term regime toward which it evolves from a wide range of initial conditions. The value we measure as the cosmological constant is the observable face of this regime, not a fundamental number.

Figure 1

The Cosmic Trajectory

The solid curve traces the evolution of the matter fraction under the attractor hypothesis. The dashed curve shows ΛCDM. Four key moments: onset of acceleration, coupling threshold, present epoch, late-time attractor.

Key Testable Signature

The strongest consequence of this hypothesis is not a single isolated anomaly, but a paired observational signature. If the dark sector is regulated by a late-time attractor, then a deviation in dark-energy behavior should appear together with a correlated suppression of cosmic structure growth.

In other words, the relevant signal is the joint appearance of two effects: a late-time change in the expansion history and a simultaneous weakening of matter clustering. The hypothesis is therefore testable because the two effects must appear together, not separately.

Figure 2

The Paired Signature

Panel A: dark-energy equation of state dips below −1. Panel B: simultaneous suppression of structure growth. Both effects governed by the same coupling constant.

Figure 3

The Attractor is Robust

Fourteen universes with very different initial matter fractions converge to the same late-time band within a few cosmic e-folds.

Research Interests

• Dark matter / dark energy interaction
• Cosmic stability and attractor models
• Thermodynamic regulation of the universe
• Observational cosmology: DESI, Euclid, Rubin

Selected Works — RLDS Series

The RLDS series develops a five-part research program on Regime-Limited Dynamical Systems and Dark-Sector Attractor Cosmology.

Mathematical prototype for singular one-dimensional autonomous systems with a stable global attractor.

Canonical RLDS framework and reduction criteria for singular ODEs.

Numerical derivation of the paired dark-sector signature linking dark-energy dynamics and suppression of structure growth.

Consequences of dark-sector attractor closure for acceleration, matter density, and phantom-like behavior.

Representative descent from interacting dark-sector field theory to the effective RLDS attractor description.

Profiles

ResearchGate profile pending verification.

Contact

Email: aleksander@kubanski.pro