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The aim is to modify gravitational dynamics through a Spectral History-Dependent Gravity framework to address the S₈ tension.

July 26, 2026Open Access

Spectral Temporal Memory in Gravity: Scale-Dependent Growth and the S₈ Tension (Paper XLIII)

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The aim is to modify gravitational dynamics through a Spectral History-Dependent Gravity framework to address the S₈ tension.
Developed the HDG framework to modify gravitational dynamics.
Analyzed the statistical fit of parameters against ΛCDM using RSD data.
Predicted gravitational growth behavior through scale-dependent signatures.
Best-fit parameters: (A, α, γ, μ₀) = (0.5, 1.2, 1.7, 9.0).
σ₈ reduction of 7.25%, stable for normalization redshift z_norm ≥ 10.
Predicted S₈ = 0.772, closely matching DES Y3 (0.776 ± 0.017) and KiDS-1000 (0.766 ± 0.020).

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Numerical modeling reveals scale-dependent growth suppression in cosmology, suggesting new insights for gravitational dynamics.

Alik Gimranov (2026) studied this question.

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