What question did this study set out to answer?

The central aim is to examine the linear stability of a specific dark energy model under scalar perturbations.

March 3, 2026Open Access

Linear Stability of Coherential Dark Energy under Scalar Perturbations

Key Points

The central aim is to examine the linear stability of a specific dark energy model under scalar perturbations.
Utilized a canonical scalar field with exponential potential
Ensured stability conditions including ghost freedom and luminal propagation
Employed a full 8-variable numerical solver for analysis
Examined stability across super-horizon, horizon, and sub-horizon regimes
Effective mass satisfies m^2_eff greater than zero, indicating no tachyonic instability
All stability tests passed successfully
Findings confirm stability for both adiabatic and isocurvature initial conditions

Abstract

We investigate the linear stability of the P2 dark energy action — a canonical scalar field C with exponential potential, motivated by universal quantum decoherence (Paper I). The Lagrangian structure guarantees ghost freedom (K=1>0), luminal propagation (c²ₛ=1), and absence of scalar anisotropic stress. On the self-consistent P2 background (beta~22, OmegaDE~0. 70), the effective mass satisfies m²ₑff~4H₀²>0 (no tachyonic instability). A full 8-variable numerical solver confirms stability across super-horizon, horizon, and sub-horizon regimes for both adiabatic and isocurvature initial conditions. All six tests pass. Version 2. 0 aligns notation and conventions with the full RCD disformal series (Papers IV-XVII).

Linear Stability of Coherential Dark Energy under Scalar Perturbations

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Abstract

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