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Inflation and late-time accelerated expansion driven by $k$-essence degenerate dynamics
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We consider a k-essence model in which a single scalar field can be responsible for both primordial inflation and the present observed acceleration of the cosmological background geometry, while also admitting a nonsingular de Sitter beginning of the Universe (it arises from de Sitter and ends in de Sitter). The early one is driven by a slow-roll potential, and the late one is driven by a dynamical dimensional reduction process which freezes the scalar field in a degenerate surface, turning it into a cosmological constant. This is done by proposing a realizable stable cosmic time crystal, although giving a different interpretation to the ''moving ground stat'', in which there is no motion because the system loses degrees of freedom. Furthermore, the model is free of pathologies such as propagating superluminal perturbations, negative energies, and perturbation instabilities.
Forward citations
Cited by 3 Pith papers
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Geometric formulation of $k$-essence and late-time acceleration
Integrable vectorial nonmetricity gravity is shown to be equivalent to purely kinetic quadratic k-essence, which fits late-time data as well as ΛCDM.
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Corrections to inflationary models induced by non-minimal coupling between scalar field and curvature
Power-law non-minimal coupling F=(H/λ)^{2n} deforms inflationary potentials, shifts r and n_S while preserving n_T=-r/8 and GR-like reheating, enabling r(1-n_S) classification of models against Planck/ACT data.
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Constant-roll $\beta$-exponential inflation: Palatini formalism
A parameter scan of constant-roll β-exponential inflation in Palatini R² gravity claims agreement with ACT/Planck contours, but the derivation is undermined by algebraic sign errors and an absent non-Gaussianity calculation.
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