What question did this study set out to answer?

The aim is to explore the relationship between large-scale structure growth and the dark energy equation of state.

March 14, 2026Open Access

GCST Prediction: Positive Correlation between Large-Scale Structure Growth Rate fσ₈(z) and Dark Energy Equation of State w(z)

Q: What does this research mean for the field?

There is a positive correlation between deviations in the growth rate of large-scale structure fσ₈(z) from the ΛCDM expectation and deviations in the dark energy equation of state parameter w(z) from -1. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.CHALLENGES_CONSENSUS.

Key Points

The aim is to explore the relationship between large-scale structure growth and the dark energy equation of state.
Utilized Global Complexity–Stability Theory to analyze dark energy and structure growth.
Predicted correlations based on deviations from ΛCDM expectations and coefficients derived from cosmological parameters.
Identified testable outcomes with upcoming data from Euclid, DESI, and Rubin Observatory.
Observed a predicted positive correlation between fσ₈(z) and w(z), suggesting stronger acceleration in certain epochs.
Expectations indicate a detection of changes in w(z) corresponding with deviations in fσ₈(z) at a significance level of 3–5σ across specific redshift bins.

Abstract

Abstract Global Complexity–Stability Theory (GCST) interprets dark energy as the global manifestation of structural debt D accumulated in regions of low complexity gradient ∇C ≈ 0. The rate of debt accumulation dD/dt ∝ α dC/dt is directly coupled to the growth rate of large-scale structure, quantified by fσ₈ (z). GCST predicts a positive correlation between deviations in fσ₈ (z) from the ΛCDM expectation and deviations in the dark energy equation of state parameter w (z) from –1. Specifically, epochs or regions with higher-than-ΛCDM fσ₈ (z) should exhibit more negative w (z) (stronger acceleration), with the amplitude: where the coefficient k ≈ 0. 03–0. 08 (derived from current Gcosmo ≈ 0. 8 and dissipation efficiency β ≈ 0. 2). This prediction is testable with upcoming data from Euclid (weak lensing + galaxy clustering, 2025–2030), DESI (BAO + RSD, already available 2024–2025), and Rubin Observatory (LSST, 2025–2035). Detection of δw (z) ∝ δfσ₈ (z) at the level of 3–5σ in z = 0. 5–1. 5 bins would strongly support GCST over flat ΛCDM. Keywords GCST, dark energy, structure growth, fσ₈, w (z), cosmic acceleration, complexity thermodynamics, structural debt, Euclid, DESI, Rubin Observatory

GCST Prediction: Positive Correlation between Large-Scale Structure Growth Rate fσ₈(z) and Dark Energy Equation of State w(z)

Key Points

Abstract

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