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March 3, 20260 citationsOpen Access

Linear Stability of Coherential Dark Energy under Scalar Perturbations

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ACArturo Cerezo

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).

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Cite This Study

Arturo Cerezo (2026) studied this question.

synapsesocial.com/papers/69a67f1ff353c071a6f0b196https://doi.org/10.5281/zenodo.18825594
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