Non-Hermitian Holographic Flows to Little Rip Cosmologies

Spacelike singularities supported by matter satisfying the null energy condition (NEC) are expected to fall within the Belinski–Khalatnikov–Lifshitz (BKL) paradigm. We show that controlled violations of the NEC in holography can lead to different black hole interiors. In a holographic model dual to a strongly coupled non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric QFT, we uncover a novel non-Kasner regime within its real, $\mathcal{P}\mathcal{T}$-restored phase. The deep-interior geometry describes an isotropic FLRW cosmology undergoing super-accelerated expansion and approaching a Little Rip. This regime leaves a characteristic imprint on two-sided heavy-operator correlators, allowing it to be distinguished from a standard Kasner interior. Our construction provides a concrete holographic realization of a Little Rip cosmology and lays the groundwork for a Little Rip/CFT correspondence, in which such cosmological regimes can be explored through observables in a non-Hermitian quantum field theory.